List questions from probability-distributions

Published on 12 Apr 2026 - 18:00

397

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Rao Blackwell and sufficient statistics

Published on 15 Apr 2026 - 9:49

22

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Complicated Demonstration - Violation of the theorem that converges in probability and not in distribution

Published on 13 Apr 2026 - 2:38

132

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let $X$,$Y$ be independent Poisson distributed random variables with parameter $\alpha$ and $\beta$ respectively. $E(XY)$?

Published on 15 Apr 2026 - 12:44

548

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Variance of the range for the exponential distribution

Published on 16 Apr 2026 - 5:44

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

478

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Coin toss and geometrical distribution

Published on 12 Apr 2026 - 6:13

125

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If $Y \sim \operatorname{Gamma}(a+1, 1), U_0 \sim \operatorname{Unif}(0, 1), U = U_0^\frac1a$, why $YU \sim \operatorname{Gamma} (a, 1)$?

Published on 15 Apr 2026 - 12:14

321

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How to transform a $U(0,1)$ variable to produce a Poisson variable?

Published on 09 Apr 2026 - 23:51

38

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Why does the summation of these indicator variables start from i<j?

Published on 15 Apr 2026 - 9:06

309

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What is the shortest way to calculate sigma of Binomial Distribution?

Published on 14 Apr 2026 - 4:57

137

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A question about the proof of Theorem 5.21 in Van der Vaar(1998)

Published on 24 Apr 2026 - 0:55

61

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Given a càdlàg process $X$ and a measure μ on the Skorohod space, how can we show that μ is the law of $X$ up to the dependence on the initial value?

Published on 19 Apr 2026 - 20:59

189

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Kronecker delta from cardinal sine

Published on 01 Apr 2026 - 13:48

31

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find probability distirbution of defective item

Published on 14 Apr 2026 - 20:06

List Question

Rao-Blackwell and Cramer-Rao LB comparison

Rao Blackwell and sufficient statistics

Complicated Demonstration - Violation of the theorem that converges in probability and not in distribution

let $X$,$Y$ be independent Poisson distributed random variables with parameter $\alpha$ and $\beta$ respectively. $E(XY)$?

Variance of the range for the exponential distribution

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

Coin toss and geometrical distribution

If $Y \sim \operatorname{Gamma}(a+1, 1), U_0 \sim \operatorname{Unif}(0, 1), U = U_0^\frac1a$, why $YU \sim \operatorname{Gamma} (a, 1)$?

How to transform a $U(0,1)$ variable to produce a Poisson variable?

Why does the summation of these indicator variables start from i<j?

What is the shortest way to calculate sigma of Binomial Distribution?

A question about the proof of Theorem 5.21 in Van der Vaar(1998)

Given a càdlàg process $X$ and a measure μ on the Skorohod space, how can we show that μ is the law of $X$ up to the dependence on the initial value?

Kronecker delta from cardinal sine

find probability distirbution of defective item

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