List questions from gamma-distribution

Published on 15 Apr 2026 - 22:31

660

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Prove that $\sum^n_{i=1} X_i$ and $\prod^n_{i=1} X_i$ are sufficient statistics for the gamma distribution

Published on 10 May 2026 - 15:47

50

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Sufficiency in the exponential distribution

Published on 25 Mar 2026 - 9:20

934

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A relationship between Poisson distribution and gamma distribution

Published on 09 Apr 2026 - 8:31

100

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How do I evaluate the following combination of random variables? Is it martingale?

Published on 12 Apr 2026 - 7:29

391

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Gamma Distribution and Chi Square Distribution

Published on 14 Apr 2026 - 4:54

148

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Integration of gamma function

Published on 08 Apr 2026 - 18:38

75

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Let X be$Gamma(\alpha, \lambda)$Prove $(\lambda X - \alpha)/\sqrt{\alpha} \xrightarrow{d} N(0,1)$ as $\alpha \rightarrow \infty$ and $\lambda$is fixed

Published on 25 Mar 2026 - 9:20

1.7k

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Transforming sum of n exponential distribution to a Poisson distribution

Published on 16 Apr 2026 - 20:11

245

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If $Y\sim\operatorname{Beta}(a,1-a)$ and $Z\sim\operatorname{Exp}(1)$, then $YZ\sim\operatorname{Gamma}(0,1)$?

Published on 16 Apr 2026 - 8:32

172

Views

Compute the posterior on a Gamma distribution with a gaussian random variable

Published on 16 Apr 2026 - 9:13

459

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Finding negative 2nd moment of gamma distribution

Published on 25 Mar 2026 - 9:16

314

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Variance of inverse gamma distribution

Published on 14 Apr 2026 - 22:09

292

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How to derive the density of the square of a standard normal and chi-squared density from the gamma density?

Published on 12 Apr 2026 - 7:36

146

Views

Find probability distribution of $X+Y$

Published on 13 Apr 2026 - 21:30

List Question

The Exact Confidence Interval for an MLE of a Gamma Distribution

Prove that $\sum^n_{i=1} X_i$ and $\prod^n_{i=1} X_i$ are sufficient statistics for the gamma distribution

Sufficiency in the exponential distribution

A relationship between Poisson distribution and gamma distribution

How do I evaluate the following combination of random variables? Is it martingale?

Gamma Distribution and Chi Square Distribution

Integration of gamma function

Let X be$Gamma(\alpha, \lambda)$Prove $(\lambda X - \alpha)/\sqrt{\alpha} \xrightarrow{d} N(0,1)$ as $\alpha \rightarrow \infty$ and $\lambda$is fixed

Transforming sum of n exponential distribution to a Poisson distribution

If $Y\sim\operatorname{Beta}(a,1-a)$ and $Z\sim\operatorname{Exp}(1)$, then $YZ\sim\operatorname{Gamma}(0,1)$?

Compute the posterior on a Gamma distribution with a gaussian random variable

Finding negative 2nd moment of gamma distribution

Variance of inverse gamma distribution

How to derive the density of the square of a standard normal and chi-squared density from the gamma density?

Find probability distribution of $X+Y$

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