List questions from gamma-distribution

Published on 01 Sep 2022 - 21:14

138

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$X_i \sim \text{Gamma}(\alpha, \beta)$ for $i=1,\dots, n$ where $\alpha, \beta >0$. Finding the pdf for the random variable $\frac{1}{n}\sum_i X_i$.

Published on 07 Sep 2022 - 6:16

335

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Asymptotic variance of a consistent estimator of gamma random variables

Published on 26 Mar 2026 - 2:45

99

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Proof: U, V follow the Gamma distribution with parameters p.

Published on 17 Sep 2022 - 17:08

64

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The summation of Gamma distribution

Published on 04 Oct 2022 - 17:17

187

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Prove a random variable to be a Chi-squared distribution

Published on 05 Oct 2022 - 11:30

84

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Integration of density function

Published on 05 Oct 2022 - 21:40

348

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How to find the posterior distribution given data and prior distribution.

Published on 09 Oct 2022 - 15:12

13

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Gamma RV Transformations

Published on 12 Oct 2022 - 2:11

51

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Relation of distribution of $\frac{X}{X+Y}$ where $X,Y$ are iid. rv s.t exponential distribution and parameter $\alpha>0$ and $\beta'(\alpha,\alpha)$.

Published on 15 Oct 2022 - 15:11

138

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Are continuous mixtures of the gamma distribution identifiable with respect to the scale parameter?

Published on 26 Mar 2026 - 16:13

108

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Asymptotics of tail function of product of 2 iid gamma variables

Published on 26 Mar 2026 - 4:38

43

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Why isn't $\frac{\beta^2}{\alpha^2}\int_{0}^p x^2 f(x, \alpha, \beta) dx = F(p, \alpha+2, \beta)$?

Published on 28 Oct 2022 - 18:58

78

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Summation of independent Gamma distributions?

Published on 01 Nov 2022 - 19:13

115

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Approximating $e^{-ax}-e^{-bx}$ to a gamma density function.

Published on 09 Nov 2022 - 19:30

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Should I call this distribution a Beta distribution?

$X_i \sim \text{Gamma}(\alpha, \beta)$ for $i=1,\dots, n$ where $\alpha, \beta >0$. Finding the pdf for the random variable $\frac{1}{n}\sum_i X_i$.

Asymptotic variance of a consistent estimator of gamma random variables

Proof: U, V follow the Gamma distribution with parameters p.

The summation of Gamma distribution

Prove a random variable to be a Chi-squared distribution

Integration of density function

How to find the posterior distribution given data and prior distribution.

Gamma RV Transformations

Relation of distribution of $\frac{X}{X+Y}$ where $X,Y$ are iid. rv s.t exponential distribution and parameter $\alpha>0$ and $\beta'(\alpha,\alpha)$.

Are continuous mixtures of the gamma distribution identifiable with respect to the scale parameter?

Asymptotics of tail function of product of 2 iid gamma variables

Why isn't $\frac{\beta^2}{\alpha^2}\int_{0}^p x^2 f(x, \alpha, \beta) dx = F(p, \alpha+2, \beta)$?

Summation of independent Gamma distributions?

Approximating $e^{-ax}-e^{-bx}$ to a gamma density function.

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