Dear R Users Hi, I have very emergency problems in my programming about finding MLE with optim command. I reproduced it with real data. I guess that my function object in optim is very sensitive because it has power function . Then optim give me lower or initial values for estimates with these warnings for Hessian matrix computation: 1: In log(B2 * (C2^(y + v))) : NaNs produced 2: In log(B3 * C3^(x + u1)) : NaNs produced 3: In log(B4 * C4^(y + u2)) : NaNs produced 4: In log(B1 * (C1^(x + v))) : NaNs produced But I have in result a hessian matrix with only first (2*2) block and other values are zero. It would not be the problem of code lead to this. plz check the code and data, I attach them with this email. hope it can reduce some workload as copying and pasting. what may lead to this and any possible way to solve it? any suggestion are appreciated. Plz help me as soon as possible because I don?t have enough time. -------------- next part -------------- "x" "y" "v" "d1" "d2" "d3" "h1" "h2" "u1" "u2" "1" 67.3041095890411 65.0767123287671 2.08493150684932 0 0 0 0 0 0 0 "2" 59.6684931506849 61.0630136986301 3.33424657534247 0 0 0 0 0 0 0 "3" 65.8493150684932 66.0493150684931 5.00821917808219 0 0 0 0 0 0 0 "4" 67.7479452054795 65.0575342465753 0.838356164383562 0 0 0 0 0 0 0 "5" 54.3123287671233 59.4931506849315 2.98082191780822 0 0 0 0 0 0 0 "6" 57.2712328767123 62.0602739726027 1.48219178082192 0 0 0 0 0 0 0 "7" 54.3232876712329 64.4630136986301 4.33424657534247 0 0 0 0 0 0 0 "8" 54.0657534246575 57.8684931506849 0.252054794520548 0 0 0 0 0 0 0 "9" 47.9041095890411 58.9698630136986 2.83835616438356 0 0 0 0 0 0 0 "10" 59.9041095890411 65.4849315068493 0.504109589041096 0 0 0 0 0 0 0 "11" 62.1232876712329 60.6794520547945 5.00821917808219 0 0 0 0 0 0 0 "12" 59.9260273972603 61.3698630136986 5.00821917808219 0 0 0 0 0 0 0 "13" 53.4493150684931 59.7397260273973 3.83835616438356 0 0 0 0 0 0 0 "14" 70.4849315068493 65.2602739726027 2.33424657534247 0 0 0 0 0 0 0 "15" 63.9068493150685 74.3397260273973 5.00821917808219 0 0 0 0 0 0 0 "16" 68.2986301369863 69.9123287671233 5.00821917808219 0 0 0 0 0 0 0 "17" 69.345205479452 71.2931506849315 5.00821917808219 0 0 0 0 0 0 0 "18" 69.5835616438356 72.8301369863014 5.00821917808219 0 0 0 0 0 0 0 "19" 65.1205479452055 63.6082191780822 1.91780821917808 1 0 0 0 0 0 0 "20" 67.0054794520548 69.0493150684931 5.00821917808219 0 0 0 0 0 0 0 "21" 65.3808219178082 71.0027397260274 4.66849315068493 1 0 0 0 0 0 0 "22" 63.7780821917808 65.345205479452 5.00821917808219 0 0 0 0 0 0 0 "23" 64.0465753424658 66.7232876712329 5.00821917808219 0 0 0 0 0 0 0 "24" 70.4383561643836 73.654794520548 5.00821917808219 0 0 0 0 0 0 0 "25" 66.1123287671233 70.6027397260274 5.00821917808219 0 0 0 0 0 0 0 "26" 66.1917808219178 65.5041095890411 5.00821917808219 0 0 0 0 0 0 0 "27" 57.1178082191781 64.4383561643836 5.00821917808219 0 0 0 0 0 0 0 "28" 68.5205479452055 79.6082191780822 0.917808219178082 1 0 0 0 0 0 0 "29" 63.4082191780822 69.5808219178082 5.00821917808219 0 0 0 0 0 0 0 "30" 82.0904109589041 83.572602739726 5.00821917808219 0 0 0 0 0 0 0 "31" 65.5013698630137 65.0794520547945 4.41917808219178 0 0 0 0 0 0 0 "32" 63.9123287671233 65.5917808219178 3.34794520547945 0 0 0 0 0 0 0 "33" 56.5917808219178 58.3123287671233 3.43835616438356 0 0 0 0 0 0 0 "34" 64.2246575342466 63.2301369863014 3.18904109589041 0 0 0 0 0 0 0 "35" 73.2876712328767 71.441095890411 3.75068493150685 0 0 0 1 0 0.158904109589041 0 "36" 63.0986301369863 67.6054794520548 5.00821917808219 0 0 0 0 0 0 0 "37" 68.627397260274 70.0849315068493 5.00821917808219 0 0 0 0 0 0 0 "38" 66.7561643835616 66.2630136986301 5.00821917808219 0 0 0 0 0 0 0 "39" 66.5972602739726 65.5835616438356 1.43287671232877 0 0 0 0 0 0 0 "40" 60.8493150684931 65.7671232876712 3.4027397260274 0 0 0 0 0 0 0 "41" 66.1452054794521 72.3506849315068 5.00821917808219 0 0 0 0 0 0 0 "42" 63.5753424657534 65.8054794520548 5.00821917808219 0 0 0 0 0 0 0 "43" 66.1452054794521 70.1534246575342 5.00821917808219 0 0 0 0 0 0 0 "44" 69.1780821917808 72.6876712328767 5.00821917808219 0 0 0 0 0 0 0 "45" 61.3534246575342 62.5068493150685 1.58630136986301 0 0 0 0 0 0 0 "46" 68.5616438356164 67.8438356164384 5.00821917808219 0 0 0 0 0 0 0 "47" 60.2520547945205 64.9041095890411 3.67123287671233 0 0 0 0 0 0 0 "48" 62.558904109589 65.0547945205479 2.73424657534247 0 0 0 0 0 0 0 "49" 59.8465753424658 65.1780821917808 5.00821917808219 0 0 0 0 0 0 0 "50" 61.7534246575342 63.5506849315069 5.00821917808219 0 0 0 0 0 0 0 "51" 57.9561643835616 63.2794520547945 5.00821917808219 0 0 0 0 0 0 0 "52" 71.1041095890411 74.358904109589 5.00821917808219 0 0 0 0 0 0 0 "53" 73.9123287671233 74.1232876712329 5.00821917808219 0 0 0 0 0 0 0 "54" 81.4465753424657 65.4794520547945 3.47945205479452 0 0 0 0 0 0 0 "55" 78.3534246575342 79.3424657534247 0 0 0 0 1 0 0.421917808219178 0 "56" 72.2301369863014 72.4356164383562 3.33150684931507 0 0 0 1 0 0.0794520547945206 0 "57" 63.7698630136986 65.4931506849315 0.263013698630137 0 0 0 0 0 0 0 "58" 74.0054794520548 74.9561643835616 4.16438356164384 1 0 0 0 0 0 0 "59" 73.4520547945205 73.7068493150685 5.00821917808219 0 0 0 0 0 0 0 "60" 70.3945205479452 66.9835616438356 5.00821917808219 0 0 0 0 0 0 0 "61" 60.7150684931507 66.6493150684932 5.00821917808219 0 0 0 0 0 0 0 "62" 60.8821917808219 59.9698630136986 5.00821917808219 0 0 0 0 0 0 0 "63" 57.6876712328767 60.5698630136986 4.15342465753425 0 0 0 0 0 0 0 "64" 60.5534246575342 63.772602739726 4.15342465753425 0 0 0 0 0 0 0 "65" 71.5178082191781 71.1260273972603 5.00821917808219 0 0 0 0 0 0 0 "66" 30.7150684931507 61.413698630137 5.00821917808219 0 0 0 0 0 0 0 "67" 73.8657534246575 73.8794520547945 0 0 0 0 1 0 2.41643835616438 0 "68" 69.2876712328767 65.7534246575343 3.73150684931507 0 0 0 0 0 0 0 "69" 66.3643835616438 68.7917808219178 5.00821917808219 0 0 0 0 0 0 0 "70" 63.0082191780822 64.6328767123288 1.15342465753425 0 0 0 0 0 0 0 "71" 59.9205479452055 65.6082191780822 2.67123287671233 0 0 0 0 0 0 0 "72" 69.7534246575343 68.9342465753425 5.00821917808219 0 0 0 0 0 0 0 "73" 66.2794520547945 69.0164383561644 5.0027397260274 1 0 0 0 0 0 0 "74" 71.813698630137 73.6931506849315 5.00821917808219 0 0 0 0 0 0 0 "75" 59.8465753424658 61.7780821917808 5.00821917808219 0 0 0 0 0 0 0 "76" 58.7945205479452 65.2767123287671 5.00821917808219 0 0 0 0 0 0 0 "77" 66.6739726027397 65.5095890410959 1.4986301369863 0 0 0 0 0 0 0 "78" 63.8082191780822 62.7123287671233 4.12602739726027 0 0 0 0 0 0 0 "79" 67.6 61.9123287671233 4.24383561643836 0 0 0 0 0 0 0 "80" 62.3753424657534 63.4109589041096 2.75068493150685 1 0 0 0 0 0 0 "81" 61.6657534246575 66.0575342465753 5.00821917808219 0 0 0 0 0 0 0 "82" 63.8246575342466 64.6657534246575 4.33424657534247 0 0 0 0 0 0 0 "83" 63.8712328767123 67.3808219178082 5.00821917808219 0 0 0 0 0 0 0 "84" 61.7890410958904 62.0219178082192 4.33424657534247 0 0 0 0 0 0 0 "85" 63.0657534246575 66.1068493150685 5.00821917808219 0 0 0 0 0 0 0 "86" 59.6602739726027 69.4383561643836 3.66849315068493 1 0 0 0 0 0 0 "87" 53.3506849315068 57.3643835616438 5.00821917808219 0 0 0 0 0 0 0 "88" 56.9643835616438 68.1917808219178 5.00821917808219 0 0 0 0 0 0 0 "89" 60.1780821917808 64.8767123287671 5.00821917808219 0 0 0 0 0 0 0 "90" 55.3095890410959 65.8958904109589 0.558904109589041 0 0 0 0 0 0 0 "91" 62.3479452054795 64.9643835616438 2.98082191780822 0 0 0 0 0 0 0 "92" 58.7643835616438 65.9369863013699 5.00821917808219 0 0 0 0 0 0 0 "93" 63.6082191780822 65.4219178082192 0.671232876712329 0 0 0 0 0 0 0 "94" 55.3808219178082 65.3013698630137 1.81095890410959 0 0 0 0 0 0 0 "95" 66.1041095890411 65.1643835616438 2.25205479452055 0 0 0 0 0 0 0 "96" 65.8739726027397 65.3479452054794 0.671232876712329 0 0 0 0 0 0 0 "97" 52.4958904109589 64.9260273972603 2.16712328767123 0 0 0 0 0 0 0 "98" 60.5232876712329 58.227397260274 1.25753424657534 0 0 0 0 0 0 0 "99" 61.6739726027397 65.172602739726 2.99178082191781 0 0 0 0 0 0 0 "100" 60.4876712328767 68.1780821917808 1.24109589041096 0 0 0 0 0 0 0 "101" 67.5095890410959 68.9753424657534 5.00821917808219 0 0 0 0 0 0 0 "102" 61.8767123287671 64.7315068493151 1.24931506849315 0 0 0 0 0 0 0 "103" 61.4904109589041 64.9561643835616 3.05479452054795 0 0 0 0 0 0 0 "104" 64.5041095890411 64.8027397260274 5.00821917808219 0 0 0 0 0 0 0 "105" 57.8301369863014 65.1123287671233 3.23013698630137 0 0 0 0 0 0 0 "106" 58.5232876712329 64.8657534246575 1.33424657534247 0 0 0 0 0 0 0 "107" 65.3315068493151 65.4547945205479 2.75068493150685 1 0 0 0 0 0 0 "108" 35.4356164383562 62.4904109589041 3.47397260273973 0 0 0 0 0 0 0 "109" 55.1178082191781 57.9232876712329 3.47397260273973 0 0 0 0 0 0 0 "110" 55.027397260274 58.827397260274 3.64931506849315 0 0 0 0 0 0 0 "111" 74.2657534246575 70.7835616438356 2.32876712328767 0 0 0 0 0 0 0 "112" 66.3260273972603 64.8657534246575 1.67123287671233 0 0 0 0 0 0 0 "113" 59.8109589041096 65.8520547945206 5.00821917808219 0 0 0 0 0 0 0 "114" 50.7945205479452 67.1095890410959 0.197260273972603 0 0 0 0 0 0 0 "115" 60.6958904109589 65.5095890410959 2.58630136986301 0 0 0 0 0 0 0 "116" 66.2684931506849 65.3506849315068 4.41917808219178 0 0 0 0 0 0 0 "117" 59.8027397260274 64.9561643835616 3.08493150684932 0 0 0 0 0 0 0 "118" 39.2657534246575 64.758904109589 0.334246575342466 0 0 0 0 0 0 0 "119" 59.0958904109589 66.1424657534247 5.00821917808219 0 0 0 0 0 0 0 "120" 76.772602739726 72.4 5.00821917808219 0 0 0 0 0 0 0 "121" 44.0794520547945 65.0602739726027 2.96438356164384 0 0 0 0 0 0 0 "122" 69.7972602739726 65.2438356164384 3.10958904109589 0 0 0 0 0 0 0 "123" 59.2602739726027 65.654794520548 1.57534246575342 0 0 0 0 0 0 0 "124" 63.0109589041096 65.9643835616438 4.4958904109589 0 0 0 0 0 0 0 "125" 60.2054794520548 59.1205479452055 0.635616438356164 1 0 0 0 0 0 0 "126" 45.4657534246575 65.4712328767123 0.504109589041096 0 0 0 0 0 0 0 "127" 64.0301369863014 65.7917808219178 1.81643835616438 0 0 0 0 0 0 0 "128" 66.0958904109589 66.7534246575343 5.00821917808219 0 0 0 0 0 0 0 "129" 64.372602739726 65.0027397260274 1 0 0 0 0 0 0 0 "130" 61.8602739726027 65.5972602739726 5.00821917808219 0 0 0 0 0 0 0 "131" 60.3835616438356 62.9287671232877 5.00821917808219 0 0 0 0 0 0 0 "132" 66.7780821917808 68.4821917808219 4.08767123287671 1 0 0 0 0 0 0 "133" 66.9479452054795 65.9287671232877 5.00821917808219 0 0 0 0 0 0 0 "134" 63.0767123287671 63.7123287671233 5.00821917808219 0 0 0 0 0 0 0 "135" 70.5808219178082 73.0493150684931 2.24931506849315 1 0 0 0 0 0 0 "136" 72.0301369863014 70.827397260274 5.00821917808219 0 0 0 0 0 0 0 "137" 70.1178082191781 74.6794520547945 5.00821917808219 0 0 0 0 0 0 0 "138" 60.3671232876712 62.5671232876712 5.00821917808219 0 0 0 0 0 0 0 "139" 66.4109589041096 68.4630136986301 5.00821917808219 0 0 0 0 0 0 0 "140" 74.0739726027397 76.3780821917808 5.00821917808219 0 0 0 0 0 0 0 "141" 72.6712328767123 75.4465753424657 5.0027397260274 1 0 0 0 0 0 0 "142" 78.4328767123288 77.6246575342466 5.00821917808219 0 0 0 0 0 0 0 "143" 76.1835616438356 76.9698630136986 5.00821917808219 0 0 0 0 0 0 0 "144" 65.2547945205479 64.5506849315069 5.00821917808219 0 0 0 0 0 0 0 "145" 64.5698630136986 67.7232876712329 5.00821917808219 0 0 0 0 0 0 0 "146" 79.6493150684932 76.2 5.00821917808219 0 0 0 0 0 0 0 "147" 77.8602739726027 74.8575342465753 5.00821917808219 0 0 0 0 0 0 0 "148" 65.3972602739726 68.6164383561644 5.00821917808219 0 0 0 0 0 0 0 "149" 63.3808219178082 65.6465753424658 2.67123287671233 0 0 0 0 0 0 0 "150" 72.7671232876712 70.0602739726027 5.00821917808219 0 0 0 0 0 0 0 "151" 50.6684931506849 61.0931506849315 3.41917808219178 0 0 0 0 0 0 0 "152" 88.4904109589041 89.0602739726027 3.24931506849315 0 0 0 0 1 0 0.147945205479452 "153" 71.6794520547945 79.8821917808219 5.00821917808219 0 0 0 0 0 0 0 "154" 78.213698630137 70.8958904109589 5.00821917808219 0 0 0 0 0 0 0 "155" 60.8904109589041 65.9068493150685 0.915068493150685 0 0 0 0 0 0 0 "156" 73.1260273972603 75.627397260274 4.24931506849315 1 0 0 0 0 0 0 "157" 70.5424657534247 69.4575342465753 5.00821917808219 0 0 0 0 0 0 0 "158" 66.0630136986301 64.8602739726027 2.33424657534247 0 0 0 0 0 0 0 "159" 75.6794520547945 82.7369863013699 5.00821917808219 0 0 0 0 0 0 0 "160" 66.2986301369863 67.7369863013699 5.00821917808219 0 0 0 0 0 0 0 "161" 62.7643835616438 79.2630136986301 5.00821917808219 0 0 0 0 0 0 0 "162" 65.986301369863 68.3260273972603 5.00821917808219 0 0 0 0 0 0 0 "163" 61.7452054794521 65.6082191780822 3.5041095890411 1 0 0 0 0 0 0 "164" 75.9287671232877 77.2958904109589 2.91780821917808 0 0 0 0 1 0 1.08493150684932 "165" 62.9616438356164 64.9835616438356 1.5041095890411 0 0 0 0 0 0 0 "166" 64 70.641095890411 5.00821917808219 0 0 0 0 0 0 0 "167" 58.1095890410959 71.0301369863014 1.75068493150685 1 0 0 0 0 0 0 "168" 57.627397260274 59.3753424657534 5.00821917808219 0 0 0 0 0 0 0 "169" 61.4821917808219 66.8191780821918 5.00821917808219 0 0 0 0 0 0 0 "170" 63.0794520547945 56.9945205479452 5.00821917808219 0 0 0 0 0 0 0 "171" 60.6109589041096 62.0986301369863 5.00821917808219 0 0 0 0 0 0 0 "172" 58.6630136986301 60.5917808219178 1.58630136986301 0 0 0 0 0 0 0 "173" 72.8383561643836 65.427397260274 5.00821917808219 0 0 0 0 0 0 0 "174" 60.6328767123288 63.241095890411 5.00821917808219 0 0 0 0 0 0 0 "175" 63.9232876712329 73.3260273972603 1.75068493150685 1 0 0 0 0 0 0 "176" 64.4767123287671 64.4383561643836 5.00821917808219 0 0 0 0 0 0 0 "177" 62.6821917808219 64.9315068493151 1.83287671232877 0 0 0 0 0 0 0 "178" 62.1972602739726 62.2684931506849 0.915068493150685 0 0 0 0 0 0 0 "179" 59.7698630136986 64.6821917808219 0.0821917808219178 0 0 0 0 0 0 0 "180" 83.8493150684932 85.0657534246575 0.668493150684932 0 0 0 1 0 0.0438356164383562 0 "181" 63.3561643835616 65.2630136986301 0.605479452054794 0 0 0 0 0 0 0 "182" 57.0739726027397 63.841095890411 1.33150684931507 0 0 0 0 0 0 0 "183" 64.0109589041096 65.4821917808219 2.5041095890411 0 0 0 0 0 0 0 "184" 68.1095890410959 69.9561643835616 1.41917808219178 0 0 0 0 0 0 0 "185" 60.7808219178082 65.013698630137 1.81369863013699 0 0 0 0 0 0 0 "186" 63.5780821917808 65.2958904109589 3.41917808219178 0 0 0 0 0 0 0 "187" 60.9506849315068 65.7342465753425 5.00821917808219 0 0 0 0 0 0 0 "188" 67.9917808219178 65.2520547945205 3.47397260273973 0 0 0 0 0 0 0 "189" 64.2109589041096 65.0328767123288 2.88767123287671 0 0 0 0 0 0 0 "190" 64.2575342465753 65.627397260274 5.00821917808219 0 0 0 0 0 0 0 "191" 57.5205479452055 64.7534246575343 4.44931506849315 0 0 0 0 0 0 0 "192" 69.3369863013699 70.1232876712329 2.87945205479452 0 0 0 0 0 0 0 "193" 63.1671232876712 64.7972602739726 2.16712328767123 0 0 0 0 0 0 0 "194" 56.9342465753425 60.0027397260274 2.97808219178082 0 0 0 0 0 0 0 "195" 60.8082191780822 65.0054794520548 4 0 0 0 0 0 0 0 "196" 51.1041095890411 58.7123287671233 5.00821917808219 0 0 0 0 0 0 0 "197" 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55.8794520547945 67.7479452054795 5.00821917808219 0 0 0 0 0 0 0 "1854" 73.0438356164384 72.8958904109589 5.00821917808219 0 0 0 0 0 0 0 "1855" 56.0684931506849 60.5232876712329 2.56164383561644 0 0 0 0 0 0 0 "1856" 77.3780821917808 77.6602739726027 5.00821917808219 0 0 0 0 0 0 0 "1857" 80.1041095890411 79.1917808219178 5.00821917808219 0 0 0 0 0 0 0 "1858" 65.6301369863014 71.0027397260274 5.00821917808219 0 0 0 0 0 0 0 "1859" 67.5123287671233 65.5534246575343 5.00821917808219 0 0 0 0 0 0 0 "1860" 60.3260273972603 65.1917808219178 1.25205479452055 0 0 0 0 0 0 0 "1861" 75.3315068493151 75.8986301369863 5.00821917808219 0 0 0 0 0 0 0 "1862" 74.8082191780822 80.4164383561644 1.16438356164384 1 0 0 0 0 0 0 "1863" 74.4821917808219 73.2465753424657 5.00821917808219 0 0 0 0 0 0 0 "1864" 63.4082191780822 69.2767123287671 5.00821917808219 0 0 0 0 0 0 0 "1865" 74.7808219178082 81.5753424657534 5.00821917808219 0 0 0 0 0 0 0 "1866" 65.8493150684932 68.441095890411 5.00821917808219 0 0 0 0 0 0 0 "1867" 67.0246575342466 68.5369863013699 5.00821917808219 0 0 0 0 0 0 0 "1868" 70.6657534246575 68.6082191780822 5.00821917808219 0 0 0 0 0 0 0 "1869" 68.572602739726 68.4027397260274 5.00821917808219 0 0 0 0 0 0 0 "1870" 63.4575342465753 66.7342465753425 5.00821917808219 0 0 0 0 0 0 0 "1871" 76.4164383561644 71.186301369863 4.72602739726027 0 0 0 0 0 0 0 "1872" 73.4493150684931 76.9753424657534 5.00821917808219 0 0 0 0 0 0 0 "1873" 63.6301369863014 65.227397260274 1.66849315068493 0 1 0 0 0 0 0 "1874" 64.0356164383562 68.1123287671233 5.00821917808219 0 0 0 0 0 0 0 "1875" 73.3260273972603 78.1287671232877 4.4986301369863 0 1 0 0 0 0 0 "1876" 68.3287671232877 71.9808219178082 5.00821917808219 0 0 0 0 0 0 0 "1877" 65.7479452054795 65.4849315068493 2.5041095890411 0 0 0 0 0 0 0 "1878" 59.5890410958904 65.0547945205479 0.0821917808219178 0 0 0 0 0 0 0 "1879" 61.4958904109589 65.2931506849315 5.00821917808219 0 0 0 0 0 0 0 "1880" 74.1424657534247 75.6 3.53972602739726 0 0 0 0 0 0 0 "1881" 74.0630136986301 86.758904109589 0.224657534246575 1 0 0 0 0 0 0 "1882" 72.0438356164384 70.5698630136986 3.53972602739726 0 0 0 0 0 0 0 "1883" 73.0684931506849 75.5917808219178 3.53972602739726 0 0 0 0 0 0 0 "1884" 64.4246575342466 77.827397260274 3.53972602739726 0 0 0 0 0 0 0 "1885" 66.9616438356164 77.5890410958904 3.53972602739726 0 0 0 0 0 0 0 "1886" 77.8547945205479 78.3890410958904 3.53972602739726 0 0 0 0 0 0 0 "1887" 66.5315068493151 70.1123287671233 3.53972602739726 0 0 0 0 0 0 0 "1888" 51.4164383561644 53.3260273972603 3.84383561643836 0 0 0 0 0 0 0 "1889" 50.6328767123288 52.5424657534247 3.7972602739726 0 0 0 0 0 0 0 "1890" 50.6876712328767 52.8849315068493 3.84383561643836 0 0 0 0 0 0 0 "1891" 58.2383561643836 55.0082191780822 2.92602739726027 0 1 0 0 0 0 0 "1892" 57.5260273972603 54.2958904109589 2.84109589041096 0 1 0 0 0 0 0 "1893" 51.7205479452055 51.7287671232877 4.75342465753425 0 0 0 0 0 0 0 "1894" 55.1643835616438 53.572602739726 3.8958904109589 0 0 0 0 0 0 0 "1895" 54.4328767123288 52.841095890411 3.7972602739726 0 0 0 0 0 0 0 "1896" 67.2876712328767 66.2931506849315 5.00821917808219 0 0 0 0 0 0 0 "1897" 50.7397260273973 51.9534246575342 3.93698630136986 0 0 0 0 0 0 0 "1898" 57.2849315068493 56.1479452054795 4.67123287671233 0 0 0 0 0 0 0 "1899" 59.7315068493151 62.8027397260274 5.00821917808219 0 0 0 0 0 0 0 "1900" 47.9698630136986 54.2027397260274 4.73698630136986 0 0 0 0 0 0 0 "1901" 65.6821917808219 65.2849315068493 2.92328767123288 0 0 0 0 0 0 0 "1902" 58.5369863013699 68.5835616438356 5.00821917808219 0 0 0 0 0 0 0 "1903" 63.9780821917808 72.9890410958904 5.00821917808219 0 0 0 0 0 0 0 "1904" 56.9479452054794 72.7397260273973 5.00821917808219 0 0 0 0 0 0 0 "1905" 63.8109589041096 71.5452054794521 5.00821917808219 0 0 0 0 0 0 0 "1906" 63.5424657534247 69.3534246575342 0.0876712328767123 1 0 0 0 0 0 0 "1907" 52.0246575342466 60.3342465753425 5.00821917808219 0 0 0 0 0 0 0 "1908" 60.5342465753425 64.4328767123288 0.876712328767123 0 0 0 0 0 0 0 "1909" 61.2054794520548 60.4465753424658 3.9041095890411 0 0 0 0 0 0 0 "1910" 64.2438356164384 69.1561643835616 5.00821917808219 0 0 0 0 0 0 0 "1911" 63.8301369863014 69.8082191780822 5.00821917808219 0 0 0 0 0 0 0 "1912" 63.8602739726027 71.8054794520548 5.00821917808219 0 0 0 0 0 0 0 "1913" 67.0356164383562 72.8027397260274 5.00821917808219 0 0 0 0 0 0 0 "1914" 60.6739726027397 71.7287671232877 5.00821917808219 0 0 0 0 0 0 0 "1915" 70.5178082191781 67.9424657534247 5.00821917808219 0 0 0 0 0 0 0 "1916" 68.2794520547945 68.7506849315069 5.00821917808219 0 0 0 0 0 0 0 "1917" 69.2602739726027 71.7753424657534 5.00821917808219 0 0 0 0 0 0 0 "1918" 70.9260273972603 74.1780821917808 5.00821917808219 0 0 0 0 0 0 0 "1919" 67.6383561643836 69.5972602739726 5.00821917808219 0 0 0 0 0 0 0 "1920" 64.9643835616438 68.8164383561644 5.00821917808219 0 0 0 0 0 0 0 "1921" 71.5013698630137 73.2328767123288 5.00821917808219 0 0 0 0 0 0 0 "1922" 64.1561643835616 69.2109589041096 5.00821917808219 0 0 0 0 0 0 0 "1923" 67.986301369863 69.6465753424658 5.00821917808219 0 0 0 0 0 0 0 "1924" 66.5095890410959 68.9972602739726 5.00821917808219 0 0 0 0 0 0 0 "1925" 66.1506849315068 71.3643835616438 5.00821917808219 0 0 0 0 0 0 0 "1926" 59.7150684931507 72.4301369863014 5.00821917808219 0 0 0 0 0 0 0 "1927" 63.0191780821918 68.2191780821918 5.00821917808219 0 0 0 0 0 0 0 "1928" 71.027397260274 70.7178082191781 5.00821917808219 0 0 0 0 0 0 0 "1929" 68.4465753424657 68.2547945205479 2.4986301369863 0 0 0 1 0 0.295890410958904 0 "1930" 54.641095890411 69.3835616438356 5.00821917808219 0 0 0 0 0 0 0 "1931" 63.8630136986301 67.841095890411 5.00821917808219 0 0 0 0 0 0 0 "1932" 65.6301369863014 68.4383561643836 5.00821917808219 0 0 0 0 0 0 0 "1933" 67.6246575342466 68.5780821917808 5.00821917808219 0 0 0 0 0 0 0 "1934" 67.5369863013699 68.7232876712329 5.00821917808219 0 0 0 0 0 0 0 "1935" 64.372602739726 69.3479452054794 5.00821917808219 0 0 0 0 0 0 0 "1936" 66.9917808219178 70.441095890411 5.00821917808219 0 0 0 0 0 0 0 "1937" 68.1369863013699 67.972602739726 5.00821917808219 0 0 0 0 0 0 0 "1938" 73.0520547945205 72.9945205479452 4.24931506849315 1 0 0 0 0 0 0 "1939" 67.9315068493151 70.0575342465753 4.24931506849315 1 0 0 0 0 0 0 "1940" 74.0602739726027 71.8821917808219 4.16438356164384 1 0 0 0 0 0 0 "1941" 75.7123287671233 72.7342465753425 5.00821917808219 0 0 0 0 0 0 0 "1942" 66.9150684931507 69.5369863013699 5.00821917808219 0 0 0 0 0 0 0 "1943" 69.7780821917808 70.3972602739726 5.00821917808219 0 0 0 0 0 0 0 "1944" 66.386301369863 72.958904109589 2.24931506849315 1 0 0 0 0 0 0 "1945" 76.0356164383562 73.6383561643836 5.00821917808219 0 0 0 0 0 0 0 "1946" 67.2328767123288 69.8602739726027 5.00821917808219 0 0 0 0 0 0 0 "1947" 71.1424657534247 68.4712328767123 5.00821917808219 0 0 0 0 0 0 0 "1948" 71.5205479452055 73.5013698630137 5.00821917808219 0 0 0 0 0 0 0 "1949" 69.2328767123288 73.0465753424658 5.00821917808219 0 0 0 0 0 0 0 "1950" 67.9260273972603 70.9780821917808 5.00821917808219 0 0 0 0 0 0 0 "1951" 64.3205479452055 64.1534246575342 3.33150684931507 1 0 0 0 0 0 0 "1952" 69.0986301369863 71.9698630136986 5.00821917808219 0 0 0 0 0 0 0 "1953" 66.8547945205479 70.4493150684931 5.00821917808219 0 0 0 0 0 0 0 "1954" 68.0191780821918 70.6027397260274 5.00821917808219 0 0 0 0 0 0 0 "1955" 70.9178082191781 72.4246575342466 5.00821917808219 0 0 0 0 0 0 0 "1956" 71.9945205479452 70.827397260274 5.00821917808219 0 0 0 0 0 0 0 "1957" 69.6630136986301 74.0904109589041 5.00821917808219 0 0 0 0 0 0 0 "1958" 70.4383561643836 70.1808219178082 5.00821917808219 0 0 0 0 0 0 0 "1959" 68.5424657534247 69.4328767123288 5.00821917808219 0 0 0 0 0 0 0 "1960" 71.6849315068493 70.9260273972603 5.00821917808219 0 0 0 0 0 0 0 "1961" 61.2794520547945 68.7534246575343 5.00821917808219 0 0 0 0 0 0 0 "1962" 62.0328767123288 69.8465753424658 4.4986301369863 1 0 0 0 0 0 0 "1963" 69.2547945205479 67.0657534246575 5.00821917808219 0 0 0 0 0 0 0 "1964" 68.8328767123288 68.6794520547945 5.00821917808219 0 0 0 0 0 0 0 "1965" 66.6630136986301 67.1315068493151 5.00821917808219 0 0 0 0 0 0 0 "1966" 66.6246575342466 66.9095890410959 5.00821917808219 0 0 0 0 0 0 0 "1967" 74.5479452054795 70.8931506849315 5.00821917808219 0 0 0 0 0 0 0 "1968" 70.4602739726027 70.8767123287671 5.00821917808219 0 0 0 0 0 0 0 "1969" 63.7342465753425 71.2 1.24931506849315 1 0 0 0 0 0 0 "1970" 66.0575342465753 66.6465753424658 5.00821917808219 0 0 0 0 0 0 0 "1971" 61.9561643835616 70.2876712328767 5.00821917808219 0 0 0 0 0 0 0 "1972" 68.1616438356164 68.8082191780822 5.00821917808219 0 0 0 0 0 0 0 "1973" 62.9369863013699 66.6958904109589 5.00821917808219 0 0 0 0 0 0 0 "1974" 64.5890410958904 68.0191780821918 4.83561643835616 1 0 0 0 0 0 0 "1975" 73.0876712328767 66.7287671232877 5.00821917808219 0 0 0 0 0 0 0 "1976" 69.1506849315068 72.9945205479452 0.331506849315069 1 0 0 0 0 0 0 "1977" 63.1808219178082 67.2246575342466 5.00821917808219 0 0 0 0 0 0 0 "1978" 71.4630136986301 69.6082191780822 5.00821917808219 0 0 0 0 0 0 0 "1979" 60.4958904109589 66.3643835616438 5.00821917808219 0 0 0 0 0 0 0 "1980" 71.4164383561644 69.9917808219178 5.00821917808219 0 0 0 0 0 0 0 "1981" 65.1917808219178 73.5068493150685 5.00821917808219 0 0 0 0 0 0 0 "1982" 74.9808219178082 73.1698630136986 5.00821917808219 0 0 0 0 0 0 0 "1983" 70.0767123287671 70.627397260274 5.00821917808219 0 0 0 0 0 0 0 "1984" 63.6849315068493 66.7041095890411 5.00821917808219 0 0 0 0 0 0 0 "1985" 55.8986301369863 59.6684931506849 2.15616438356164 0 0 0 0 0 0 0 "1986" 74.8931506849315 69.2904109589041 5.00821917808219 0 0 0 0 0 0 0 "1987" 74.9753424657534 69.372602739726 5.00821917808219 0 0 0 0 0 0 0 "1988" 74.9753424657534 69.372602739726 5.00821917808219 0 0 0 0 0 0 0 "1989" 74.9753424657534 69.372602739726 5.00821917808219 0 0 0 0 0 0 0 "1990" 74.9753424657534 69.372602739726 5.00821917808219 0 0 0 0 0 0 0 "1991" 76.9123287671233 71.3095890410959 3.82465753424658 0 0 0 0 0 0 0 "1992" 66.3150684931507 62.9780821917808 5.00821917808219 0 0 0 0 0 0 0 "1993" 66.3150684931507 62.9780821917808 5.00821917808219 0 0 0 0 0 0 0 "1994" 68.0027397260274 64.6657534246575 3.82465753424658 0 0 0 0 0 0 0 "1995" 62.5534246575342 66.4054794520548 5.00821917808219 0 0 0 0 0 0 0 "1996" 62.8876712328767 66.7397260273973 5.00821917808219 0 0 0 0 0 0 0 "1997" 62.8876712328767 66.7397260273973 5.00821917808219 0 0 0 0 0 0 0 "1998" 62.8876712328767 66.7397260273973 5.00821917808219 0 0 0 0 0 0 0 "1999" 62.8876712328767 66.7397260273973 5.00821917808219 0 0 0 0 0 0 0 "2000" 64.8246575342466 68.6767123287671 3.82465753424658 0 0 0 0 0 0 0 "2001" 62.4164383561644 66.4493150684931 5.00821917808219 0 0 0 0 0 0 0 "2002" 62.4164383561644 66.4493150684931 5.00821917808219 0 0 0 0 0 0 0 "2003" 62.4164383561644 66.4493150684931 5.00821917808219 0 0 0 0 0 0 0 "2004" 64.1041095890411 68.1369863013699 3.82465753424658 0 0 0 0 0 0 0 "2005" 67.3643835616438 66.3150684931507 5.00821917808219 0 0 0 0 0 0 0 "2006" 67.3643835616438 66.3150684931507 5.00821917808219 0 0 0 0 0 0 0 "2007" 67.3643835616438 66.3150684931507 5.00821917808219 0 0 0 0 0 0 0 "2008" 69.3013698630137 68.2520547945205 3.82465753424658 0 0 0 0 0 0 0 "2009" 57.4767123287671 66.0876712328767 5.00821917808219 0 0 0 0 0 0 0 "2010" 57.4767123287671 66.0876712328767 5.00821917808219 0 0 0 0 0 0 0 "2011" 58.5835616438356 67.1945205479452 3.82465753424658 0 0 0 0 0 0 0 "2012" 56.5780821917808 65.6904109589041 5.00821917808219 0 0 0 0 0 0 0 "2013" 56.827397260274 65.9397260273973 5.00821917808219 0 0 0 0 0 0 0 "2014" 58.3452054794521 67.4575342465753 3.82465753424658 0 0 0 0 0 0 0 "2015" 64.6356164383562 64.9643835616438 5.00821917808219 0 0 0 0 0 0 0 "2016" 65.3890410958904 65.7178082191781 5.00821917808219 0 0 0 0 0 0 0 "2017" 67.3260273972603 67.654794520548 3.82465753424658 0 0 0 0 0 0 0 "2018" 70.6438356164384 65.5013698630137 5.00821917808219 0 0 0 0 0 0 0 "2019" 70.6438356164384 65.5013698630137 5.00821917808219 0 0 0 0 0 0 0 "2020" 72.5808219178082 67.4383561643836 3.82465753424658 0 0 0 0 0 0 0 "2021" 66.4383561643836 65.8246575342466 4.6027397260274 0 0 0 0 0 0 0 "2022" 63.9643835616438 64.3753424657534 5.00821917808219 0 0 0 0 0 0 0 "2023" 63.9643835616438 64.3753424657534 5.00821917808219 0 0 0 0 0 0 0 "2024" 65.9013698630137 66.3123287671233 3.82465753424658 0 0 0 0 0 0 0 "2025" 57.4876712328767 65.4465753424657 4.91232876712329 0 0 0 0 0 0 0 "2026" 61.9698630136986 63.8438356164384 1.07945205479452 1 0 0 0 0 0 0 "2027" 61.3095890410959 63.6219178082192 5.00821917808219 0 0 0 0 0 0 0 "2028" 62.7452054794521 65.0575342465753 3.82465753424658 0 0 0 0 0 0 0 "2029" 59.5671232876712 65.0657534246575 3.45753424657534 0 0 0 0 0 0 0 "2030" 53.8164383561644 64.3643835616438 3.98082191780822 0 0 0 0 0 0 0 "2031" 54.1424657534247 64.6904109589041 3.82191780821918 0 0 0 0 0 0 0 "2032" 60.2657534246575 65.6986301369863 2.90684931506849 0 0 0 0 0 0 0 "2033" 65.2465753424657 64.0794520547945 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"5000" 63.9150684931507 67.7890410958904 5.00821917808219 0 0 0 0 0 0 0
On Nov 19, 2013, at 12:09 PM, sofeira taajobian wrote:> Dear R Users > Hi, > > > I have very emergency problems in my programming about finding MLE > with optim command. I reproduced it with real data. I guess that my > function object in optim is very sensitive because it has power > function . > Then optim give me lower or initial values for estimates with these > warnings for Hessian matrix computation: > 1: In log(B2 * (C2^(y + v))) : NaNs produced > 2: In log(B3 * C3^(x + u1)) : NaNs produced > 3: In log(B4 * C4^(y + u2)) : NaNs produced > 4: In log(B1 * (C1^(x + v))) : NaNs produced > But I have in result a hessian matrix with only first (2*2) block and > other values are zero. > It would not be the problem of code lead to this. plz check the code > and data, I attach them with this email. hope it can reduce some > workload as copying and pasting. > > > what may lead to this and any possible way to solve it? any suggestion > are appreciated. Plz help me as soon as possible because I don?t have > enough time. > <data4.txt>Only the txt file made it throuhg. If you attached a .R file it would have been scrubbed. You need to rename it <something>.txt so you mailer sends it as MIME-text rather than "unknown"-type.> ______________________________________________ > R-help at r-project.org mailing list > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide http://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, reproducible code.David Winsemius Alameda, CA, USA
This is the code that was attached. I arrived in the copy sent to my email address: #------------------ L1=function(X){ B1=X[1] C1=X[2] B2=X[3] C2=X[4] mu=X[5] S=-(B1*(C1^x)*((C1^v)-1)/log(C1)) +(d2*log(B1*(C1^(x+v)))) -(B2*(C2^y)*((C2^v)-1)/log(C2)) +(d1*log(B2*(C2^(y+v)))) -(v*mu) +(d3*log(mu)) return(sum(S)) } L2=function(X){ B3=X[1] C3=X[2] sum(-(B3*(C3^(x+u1)-C3^(x))) + h1*log(B3*C3^(x+u1))) } L3=function(X){ B4=X[1] C4=X[2] sum(-(B4*(C4^(y+u2)-C4^(y))) + h2*log(B4*C4^(y+u2))) } L=function(X){ B1=X[1] C1=X[2] B2=X[3] C2=X[4] mu=X[5] B3=X[6] C3=X[7] B4=X[8] C4=X[9] L=L1(c(B1,C1,B2,C2,mu)) +L2(c(B3,C3)) +L3(c(B4,C4)) -L } Sol=nlminb(c(7.741*10^(-7),1.155,2.422*10^(-5),1.0889,.001307,2.51*10^(-5),1.0712,3.7654*10^(-4),1.0561),L, lower=c(7.000*10^(-7),1.055,2.122*10^(-5),1.0689,.001107,2.13*10^(-5),1.0088,3.5437*10^(-4),1.0612), upper=c(1.0299*10^(-6),1.214,2.822*10^(-5),1.0989,.015407,2.77*10^(-5),1.1888,3.8737*10^(-4),1.0812),control=list(iter.max=1500)) par=Sol$par optim(par,L,method="L-BFGS-B", lower=c(7.000*10^(-7),1.055,2.122*10^(-5),1.0689,.001107,2.13*10^(-5),1.0088,3.5437*10^(-4),1.0612), upper=c(1.0299*10^(-6),1.214,2.822*10^(-5),1.0989,.015407,2.77*10^(-5),1.0888,3.8737*10^(-4),1.0712),control=list(maxit=1500,pgtol=10^(-7)),hessian=TRUE) -- David. On Nov 19, 2013, at 12:09 PM, sofeira taajobian wrote:> Dear R Users > Hi, > > > I have very emergency problems in my programming about finding MLE > with optim command. I reproduced it with real data. I guess that my > function object in optim is very sensitive because it has power > function . > Then optim give me lower or initial values for estimates with these > warnings for Hessian matrix computation: > 1: In log(B2 * (C2^(y + v))) : NaNs produced > 2: In log(B3 * C3^(x + u1)) : NaNs produced > 3: In log(B4 * C4^(y + u2)) : NaNs produced > 4: In log(B1 * (C1^(x + v))) : NaNs produced > But I have in result a hessian matrix with only first (2*2) block and > other values are zero. > It would not be the problem of code lead to this. plz check the code > and data, I attach them with this email. hope it can reduce some > workload as copying and pasting. > > > what may lead to this and any possible way to solve it? any suggestion > are appreciated. Plz help me as soon as possible because I don?t have > enough time. > <data4.txt>______________________________________________ > R-help at r-project.org mailing list > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide http://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, reproducible code.David Winsemius Alameda, CA, USA