I'll second Bert's comments, also assuming this is not homework. In
addition:
Your use of "mid-point" is not a standard one (in my world), nor
perhaps is that of "simulate".
Let me attempt to re-state your problem: You wish to choose 10-tuples of
integers 0 <= k <= 100 satisfying
1) 0 <= k_i <= 100 for i = 1:10;
and
2) k_(i+1) - k_(i) >= 5 for i = 1:9.
Finally, you'd like 1000 of those 10-tuples.
[Here, "k_(i)" is the usual notation for order statistics.]
Is that the task?
If so, are there are other requirements on the k_i ?
The word "simulate" suggests the k_i are supposed to be realizations
of random variables. If so, what sort of distributional assumptions did you
have in mind?
---JRG
On Saturday, May 31st, 2025 at 6:09 PM, Bert Gunter <bgunter.4567 at
gmail.com> wrote:
>
>
> If this is a real problem and not homework, can you tell us the
> context? It is not at all clear (to me) what you mean by
"simulate",
> i.e. what your target distribution is, which may depend on/be defined
> by the context.
>
> Bert
>
> "An educated person is one who can entertain new ideas, entertain
> others, and entertain herself."
>
>
> On Sat, May 31, 2025 at 11:52?AM Brian Smith briansmith199312 at gmail.com
wrote:
>
> > Hi,
> >
> > Let say I have a range [0, 100]
> >
> > Now I need to simulate 1000 10 mid-points within the range with
> > accuracy upto second decimal number.
> >
> > Let say, one simulated set is
> >
> > X1, X2, ..., X10
> >
> > Ofcourrse
> >
> > X1 < X2 < ... <X10
> >
> > I have one more constraint that the difference between any 2
> > consecutive mid-points shall be at-least 5.00.
> >
> > I wonder if there is any Statistical theory available to support this
> > kind of simulation.
> >
> > Alternately, is there any way in R to implement this?
> >
> > ______________________________________________
> > R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see
> > https://stat.ethz.ch/mailman/listinfo/r-help
> > PLEASE do read the posting guide
https://www.R-project.org/posting-guide.html
> > and provide commented, minimal, self-contained, reproducible code.
>
>
> ______________________________________________
> R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see
> https://stat.ethz.ch/mailman/listinfo/r-help
> PLEASE do read the posting guide
https://www.R-project.org/posting-guide.html
> and provide commented, minimal, self-contained, reproducible code.