List questions from probability-distributions

Published on 12 Mar 2026 - 21:41

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What is the variance proxy of a such sub-Gaussian random variable

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Limit of the product of X and the Survival Function

Published on 17 Mar 2026 - 5:19

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Deduce PDF of a mixed distribution from the CDF

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What are the exact conditions to get a multivariate gaussian distribution from multiple single gaussian variables?

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Derive a sufficient statistic for $\theta$.

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$X_1,X_2$ are i.i.d with $U=\min(X_1,X_2)$ and $V=X_1-X_2$

Published on 13 Mar 2026 - 8:47

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Conditional distribution of y given x<a

Published on 13 Mar 2026 - 14:15

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Show that the posterior probability of $H_0$ equals $\Phi\left(\sqrt{n}\frac{\theta_o -\bar{X}_n}{\sigma}\right)$

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Derive an expression for the $p$-value using a test with test statistic $T =\sqrt{n}(\bar{X}_n - \theta_0)/\sigma$

Published on 12 Mar 2026 - 22:47

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Derive the posterior density of $\Theta$.

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Equivalent ways of writing Kullback-Leibler divergence

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Probability problem involving geometric distribution and expected value

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Derive the distribution of $X=min\{i:S_i=S_{2n}\}$

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distribution of Z=X+Y

Published on 19 Mar 2026 - 20:43

List Question

Multinominal Distribution

What is the variance proxy of a such sub-Gaussian random variable

Limit of the product of X and the Survival Function

Deduce PDF of a mixed distribution from the CDF

What are the exact conditions to get a multivariate gaussian distribution from multiple single gaussian variables?

Derive a sufficient statistic for $\theta$.

$X_1,X_2$ are i.i.d with $U=\min(X_1,X_2)$ and $V=X_1-X_2$

Conditional distribution of y given x<a

Show that the posterior probability of $H_0$ equals $\Phi\left(\sqrt{n}\frac{\theta_o -\bar{X}_n}{\sigma}\right)$

Derive an expression for the $p$-value using a test with test statistic $T =\sqrt{n}(\bar{X}_n - \theta_0)/\sigma$

Derive the posterior density of $\Theta$.

Equivalent ways of writing Kullback-Leibler divergence

Probability problem involving geometric distribution and expected value

Derive the distribution of $X=min\{i:S_i=S_{2n}\}$

distribution of Z=X+Y

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