On Saturday, May 31st, 2025 at 7:44 PM, Bert Gunter <bgunter.4...@gmail.com> 
wrote:

> JRG:
>
> I don't think your specification is correct -- perhaps just a thinko. I think 
> a 10-tuple of "reals" (scare quotes because of computer precision) with your 
> specifications is what is wanted.
>
> Bert
>
> "An educated person is one who can entertain new ideas, entertain others, and 
> entertain herself."

Well, I had started with 10-tuples of reals. Forcing integer elements was a 
feeble attempt to deal with this aspect of the original post:

". . . with accuracy up to second decimal number".

But as this seems to be homework, radio silence ensues.

---JRG

> On Sat, May 31, 2025 at 3:43 PM JRG <j...@loesl.us> wrote:
>
>> 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.4...@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 briansmith199...@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@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@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.
        [[alternative HTML version deleted]]

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