List questions from probability-distributions

Published on 06 Apr 2026 - 3:56

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Given the mean and the range of a normal distribution to find the variance

Published on 26 Mar 2026 - 19:02

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Distribution of $F_{Z}(z)$ where $Z = min\{X,Y\}$

Published on 25 Mar 2026 - 13:13

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Which is the distribution of $(X_2+X_1)^2/\sqrt{(X_2-X_1)^2}$?

Published on 26 Mar 2026 - 22:16

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Convolution of two independent exponential random variables

Published on 06 Oct 2018 - 9:49

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The probability density function $f(x)$ of a random variable $X$ is symmetric about $0$. Then we have:

Published on 25 Mar 2026 - 21:48

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Prove efficiency of this discrete uniform distribution estimator

Published on 25 Mar 2026 - 14:22

287

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Finding the probability that an inner product is positive

Published on 01 Apr 2026 - 17:24

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Conjugate Prior for Gamma Distribution

Published on 06 Apr 2026 - 6:33

236

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Finding the constant $c$ for the pmf $f(x)=c^{x-10}$, where $x=12,14,\ldots,32$

Published on 07 Oct 2018 - 3:28

30

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Writing out cdf for joint pdf

Published on 07 Oct 2018 - 11:10

346

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Finding the support of the CDF of $(X,Y)$

Published on 31 Mar 2026 - 14:28

155

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Is this statistic minimal sufficient? Exponential family method

Published on 25 Mar 2026 - 11:10

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Show that $\frac{1}{\Gamma(a)}\int_{0}^{\infty}[1-e^{-z(u^{-1/a}-1)}][1-e^{-z(v^{-1/a}-1)}]z^{a-1}e^{-z}dz=[max(u^{-a}+v^{-a}-1,0)]^{-1/a}$

Published on 26 Mar 2026 - 6:22

33

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Approximating a probability from independent trials

Published on 07 Oct 2018 - 20:30

List Question

Distributions over probability simplex

Given the mean and the range of a normal distribution to find the variance

Distribution of $F_{Z}(z)$ where $Z = min\{X,Y\}$

Which is the distribution of $(X_2+X_1)^2/\sqrt{(X_2-X_1)^2}$?

Convolution of two independent exponential random variables

The probability density function $f(x)$ of a random variable $X$ is symmetric about $0$. Then we have:

Prove efficiency of this discrete uniform distribution estimator

Finding the probability that an inner product is positive

Conjugate Prior for Gamma Distribution

Finding the constant $c$ for the pmf $f(x)=c^{x-10}$, where $x=12,14,\ldots,32$

Writing out cdf for joint pdf

Finding the support of the CDF of $(X,Y)$

Is this statistic minimal sufficient? Exponential family method

Show that $\frac{1}{\Gamma(a)}\int_{0}^{\infty}[1-e^{-z(u^{-1/a}-1)}][1-e^{-z(v^{-1/a}-1)}]z^{a-1}e^{-z}dz=[max(u^{-a}+v^{-a}-1,0)]^{-1/a}$

Approximating a probability from independent trials

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