Question

Why the Poisson and Binomial distributions are approximately normal?

score 107 · Answer 1 · 2026-04-02 21:49:19

Why the Poisson and Binomial distributions are approximately normal?

Published on 02 Apr 2026 - 21:49

score 187 · Answer 2 · 2020-10-30 12:58:35

Let N be a poisson random variable with parameter µ, and conditional on N, let M have a binomial distribution with parameters N and p. Then...

score 60 · Answer 3 · 2020-10-30 15:07:51

60

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Summation Simplification for Poisson Product

Published on 30 Oct 2020 - 15:07

score 148 · Answer 4 · 2020-11-01 21:25:02

148

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Survival function for Poisson distribution

Published on 01 Nov 2020 - 21:25

score 647 · Answer 5 · 2026-03-31 10:05:24

647

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Non-homogeneous Poisson process first occurrence distribution

Published on 31 Mar 2026 - 10:05

score 360 · Answer 6 · 2026-02-23 20:42:27

360

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Does "between A and B" include the endpoints? (Eg, "What is the probability [of] between $2$ and $6$ [manufacturing] imperfections ...?")

Published on 23 Feb 2026 - 20:42

score 110 · Answer 7 · 2020-11-03 01:12:32

110

Views

How to calculate probability of this random variable if all is known is the mean and variance?

Published on 03 Nov 2020 - 1:12

score 924 · Answer 8 · 2026-04-02 12:31:52

924

Views

Connection between Gauss and Poisson distribution?

Published on 02 Apr 2026 - 12:31

score 2.1k · Answer 9 · 2020-11-08 01:22:45

2.1k

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For $X ∼ Pois(λ)$, find $E(2^X)$, if it is finite.

Published on 08 Nov 2020 - 1:22

score 1k · Answer 10 · 2020-11-08 03:43:26

1k

Views

How can $\lambda$ in Poisson distribution be constant if derived from binomial distribution for $\lambda=np$ while $n$ goes to infinity?

Published on 08 Nov 2020 - 3:43

score 188 · Answer 11 · 2020-11-09 13:15:03

188

Views

Poisson Distribution in Nature

Published on 09 Nov 2020 - 13:15

score 61 · Answer 12 · 2020-11-10 20:33:11

61

Views

Finding $\lim_{n\to\infty} \mathbb{P} \{Z_{1,n} + Z_{2,n} + \cdots + Z_{n,n} = k\}.$

Published on 10 Nov 2020 - 20:33

score 486 · Answer 13 · 2020-11-11 10:11:48

486

Views

What is the distribution similar to the Poisson distribution with non-constant mean rate?

Published on 11 Nov 2020 - 10:11

score 26 · Answer 14 · 2020-11-12 19:36:51

26

Views

Problem with two independent Poisson variables.

Published on 12 Nov 2020 - 19:36

score 38 · Answer 15 · 2026-04-04 12:08:07

38

Views

Variance of Poisson distributed variables $\leq1$

Published on 04 Apr 2026 - 12:08

List Question

Why the Poisson and Binomial distributions are approximately normal?

Let N be a poisson random variable with parameter µ, and conditional on N, let M have a binomial distribution with parameters N and p. Then...

Summation Simplification for Poisson Product

Survival function for Poisson distribution

Non-homogeneous Poisson process first occurrence distribution

Does "between A and B" include the endpoints? (Eg, "What is the probability [of] between $2$ and $6$ [manufacturing] imperfections ...?")

How to calculate probability of this random variable if all is known is the mean and variance?

Connection between Gauss and Poisson distribution?

For $X ∼ Pois(λ)$, find $E(2^X)$, if it is finite.

How can $\lambda$ in Poisson distribution be constant if derived from binomial distribution for $\lambda=np$ while $n$ goes to infinity?

Poisson Distribution in Nature

Finding $\lim_{n\to\infty} \mathbb{P} \{Z_{1,n} + Z_{2,n} + \cdots + Z_{n,n} = k\}.$

What is the distribution similar to the Poisson distribution with non-constant mean rate?

Problem with two independent Poisson variables.

Variance of Poisson distributed variables $\leq1$

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