0
votes
0answers
14 views

Sapling/ counting order ideals

Is there anything known about sampling or counting ordered ideals in Posets of special cases?
1
vote
1answer
201 views

probability of a certain event in a repeated sampling with replacement (without ordering)

I have a problem that is bugging me for a couple of weeks now. I have asked some friends etc but the answers were not satisfying at all. So here we go. Suppose we have a set ...
0
votes
0answers
62 views

Twist on classic Weighted hypergeometric distribution problem

I am looking to model a situation, which I believe can be approximated as follows...it seems on the surface an extension / twist on the classic biased urn problem...any help much appreciated. We have ...
1
vote
2answers
172 views

Sampling a combination randomly

I want to sample a combination of $N$ elements (without replacement) from a list of $M$ elements where $M\gg N$. There are algorithms to do this when each element is picked with uniform probability. I ...
11
votes
2answers
418 views

What is the distribution of gaps?

Randomly select $n$ numbers from the universe $\{1,2\dots,m\}$ with or without replacement, and sort the numbers in ascending order. We can get a list of number $\{a_1,a_2,\dots,a_n\}$, and then we ...