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$\mu _{r+1} = r \lambda \mu_{r-1} + \lambda\frac{d\mu_{r}}{d\lambda}$ where $\mu_r = E[( X - E[X] )^r]$ and where $X$ is in Poisson distribution.

Published on 14 Mar 2020 - 16:47

151

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Matching in a Dynamic Erdős–Rényi graph

Published on 22 Mar 2026 - 17:20

61

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properties of the expected value of the Poisson function

Published on 15 Mar 2020 - 21:35

177

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Stochastically dominated Poisson Process

Published on 25 Mar 2026 - 1:33

36

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Compute a probability distribution function related to Poisson process.

Published on 19 Mar 2020 - 6:31

34

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Approximate distribution

Published on 21 Mar 2020 - 16:17

103

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Composite hypothesis testing with Poisson distribution

Published on 28 Mar 2026 - 0:46

172

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Show $\lim\limits_{\lambda\to\infty} e^{\lambda e^{\frac{t}{\sqrt{\lambda}}} - t\sqrt{\lambda} - \lambda} = e^{\frac{t^2}{2}}$.

Published on 23 Mar 2020 - 12:13

89

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Probability that a person experiences a pandemic during his lifetime

Published on 27 Mar 2026 - 10:34

80

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Polynomials having the generating function $\exp(x(e^{t_1}+e^{t_2}-2))$

Published on 27 Mar 2026 - 13:17

74

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How to generalize Poisson correction for multiple populations?

Published on 25 Mar 2020 - 16:44

36

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Let $N \sim \mathrm{Poisson}(c)$. Then what is $E[\exp(i\langle z, S_{N}\rangle)]$?

Published on 28 Mar 2026 - 7:43

52

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Find $P(X<3)$ and $E(X)$

Published on 26 Mar 2020 - 13:19

120

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Finding $E(Y^2)$ of moment generating function of Binomial Random Variable

Published on 27 Mar 2020 - 6:39

30

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Poisson Question Derivation

Published on 27 Mar 2020 - 13:51

List Question

$\mu _{r+1} = r \lambda \mu_{r-1} + \lambda\frac{d\mu_{r}}{d\lambda}$ where $\mu_r = E[( X - E[X] )^r]$ and where $X$ is in Poisson distribution.

Matching in a Dynamic Erdős–Rényi graph

properties of the expected value of the Poisson function

Stochastically dominated Poisson Process

Compute a probability distribution function related to Poisson process.

Approximate distribution

Composite hypothesis testing with Poisson distribution

Show $\lim\limits_{\lambda\to\infty} e^{\lambda e^{\frac{t}{\sqrt{\lambda}}} - t\sqrt{\lambda} - \lambda} = e^{\frac{t^2}{2}}$.

Probability that a person experiences a pandemic during his lifetime

Polynomials having the generating function $\exp(x(e^{t_1}+e^{t_2}-2))$

How to generalize Poisson correction for multiple populations?

Let $N \sim \mathrm{Poisson}(c)$. Then what is $E[\exp(i\langle z, S_{N}\rangle)]$?

Find $P(X<3)$ and $E(X)$

Finding $E(Y^2)$ of moment generating function of Binomial Random Variable

Poisson Question Derivation

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