search for: sigma_n

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2009 Feb 28
0
Implementation of quasi-bayesian maximum likelihood estimation for normal mixtures
...existing packages including the quasi-bayesian mle, I have to write my own function. Unfortunately, I have absolutely no experience in doing this. If you're not familiar with the QB-MLE, I attached the formula as pdf. The idea is to extend the usual MLE with prior beliefs about the values sigma_n and sigma_b. My priors are already included in the code below. I intend to try a mixture of two normal distributions with same mean, and variances 1 and 5 as starting values. This is what I've done so far: > R <-read.table("C:\\...\\rendite.txt", header=F) > qbmle <-...
2013 Apr 07
0
Fitting distributions to financial data using volatility model to estimate VaR
...ssible. I want to fit a distribution to my financial data using a volatility model to estimate the VaR. So in case of a normal distribution, this would be very easy, I assume the returns to follow a normal distribution and calculate a volatility forecast for each day, so I have sigma_1,sigma_2,...,sigma_n,. I can calculate the VaR via (mu constant, z_alpha quantile of standard normal): VaR_(alpha,t)=mu+sigma_t * z_alpha. This is in case, I have losses, so I look at the right tail. So for each day I have a normal density with a constant mu but a different sigma corrensponding to the volatility model....