Talk:Poisson Distribution Approximated by Hat-Check Distribution

Ok, I'll bite. Tidy how? --Robkahn131 (talk) 15:28, 7 April 2021 (UTC)

Bit better now.

Little things like punctuation, and putting maths into dollar delimiters.

But I'm not sure I can follow what this page is supposed to show. Might be worth repeating the definitions of the distributions and explaining what approximations are made. And I'm not sure of the point of the $1^k$ in that last term. --prime mover (talk) 15:44, 7 April 2021 (UTC)

Why $k = n - k$?

It seems unreasonable. In addition, it seems that the distribution of $Y = n - X$ can be approximated by Poisson distribution with $\lambda = 1$. --Fake Proof (talk contribs) 09:05, 6 April 2022 (UTC)

It has to do with the way this distribution was defined: Let $X$ represent the number of elements in a a totally ordered set with $n$ elements that are NOT in the correct order. This distribution was defined in terms of the probability of the number of failures instead of successes since I wanted n derangements to correspond to n failures. --Robkahn131 (talk) 13:39, 6 April 2022 (UTC)