[R] Simulating mid-points from a defined range

[JRG]

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 using 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 using 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?
> > 
> > ______________________________________________
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> 
> 
> ______________________________________________
> R-help using r-project.org mailing list -- To UNSUBSCRIBE and more, see
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> PLEASE do read the posting guide https://www.R-project.org/posting-guide.html
> and provide commented, minimal, self-contained, reproducible code.