List questions from probability-distributions

Published on 12 Apr 2026 - 1:55

54

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Finding the expected value for various functions of two independent random variables

Published on 11 Apr 2026 - 10:54

2.4k

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Fisher Information of log-normal distribution

Published on 15 Apr 2026 - 7:46

229

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Expected value of MLE of SRSWOR($n$)

Published on 12 Apr 2026 - 7:59

99

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What is the probability distribution for the number of N-sided die rolls needed to get M unique results?

Published on 15 Apr 2026 - 7:16

246

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Density and Probabilities of Geometric Brownian Motion

Published on 14 Apr 2026 - 5:53

55

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Constructing a Characteristic function

Published on 26 Mar 2026 - 14:26

101

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Is the following always true: $\mbox{Var}[\mbox{Range}(X_1,\cdots,X_n)] = O(n^{-B})$ with $0\leq B \leq 2$?

Published on 15 Apr 2026 - 22:43

1.2k

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Inverse of sum of exponential random variables (mean and variance)

Published on 16 Apr 2026 - 10:56

89

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Distribution of $Y = b \bar{X}$ doesn't depend on $b$ (Gamma distribution)

Published on 14 Apr 2026 - 2:03

17

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How to prove pmf of NBIG >0 and it sum add up to 1?

Published on 14 Apr 2026 - 12:48

624

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Confused about the expression relating the CDF and expected value of a random variable

Published on 12 Apr 2026 - 8:08

531

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LLN interpretation of high-dimensional unit ball mass distribution

Published on 10 Apr 2026 - 17:08

87

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Given the bivariate standard normal density, how to show that $X$ and $Y$ are standard normal densities?

Published on 25 Mar 2026 - 3:07

96

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probability distribution proof $P(a < X \leq b) = F(b) - F(a)$

Published on 14 Apr 2026 - 20:06

List Question

Which estimator would be better in terms of Mean Square Error?

Finding the expected value for various functions of two independent random variables

Fisher Information of log-normal distribution

Expected value of MLE of SRSWOR($n$)

What is the probability distribution for the number of N-sided die rolls needed to get M unique results?

Density and Probabilities of Geometric Brownian Motion

Constructing a Characteristic function

Is the following always true: $\mbox{Var}[\mbox{Range}(X_1,\cdots,X_n)] = O(n^{-B})$ with $0\leq B \leq 2$?

Inverse of sum of exponential random variables (mean and variance)

Distribution of $Y = b \bar{X}$ doesn't depend on $b$ (Gamma distribution)

How to prove pmf of NBIG >0 and it sum add up to 1?

Confused about the expression relating the CDF and expected value of a random variable

LLN interpretation of high-dimensional unit ball mass distribution

Given the bivariate standard normal density, how to show that $X$ and $Y$ are standard normal densities?

probability distribution proof $P(a < X \leq b) = F(b) - F(a)$

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