List questions from probability-distributions

Published on 10 Dec 2018 - 13:58

611

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Showing that the sample mean and variance are independent by showing two distribution are the same

Published on 10 Dec 2018 - 17:54

33

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Same stochastic momenta => identical distribution

Published on 10 Dec 2018 - 21:15

288

Views

joint PDF of 2 dependent variables w/ convolution

Published on 26 Mar 2026 - 7:32

570

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How to find pdf of X+Y given X and Y are dependent.

Published on 02 Apr 2026 - 3:16

44

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Calculate the expectation of random variable, integration of a function.

Published on 09 Apr 2026 - 5:13

1.7k

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Find the marginal distribution of an point randomly chosen on an ellipse

Published on 25 Mar 2026 - 1:20

796

Views

$\Pr[\sum_i X_i^2 Y_i^2\ge t]$, Chernoff bound for sum of pairs of squared Normal random variables

Published on 25 Mar 2026 - 1:40

159

Views

fint joint and marginal distributions of two uniformy distributed variables over a specified region

Published on 26 Mar 2026 - 7:34

322

Views

Probability that the sample contains no more than 2 black balls

Published on 11 Dec 2018 - 17:55

107

Views

Approximating the cdf of the standard normal distribution

Published on 30 Mar 2026 - 10:43

143

Views

Integration of probabilities - decision theory - minimizing misclassification rate

Published on 11 Apr 2026 - 12:46

97

Views

How to calculate $\mathbb{P}(|U_{1} - U_{2}| < \frac{1}{12})$, where $U_{i} \sim \mathcal{U}(0, \frac{1}{2})$ and $U_{i}$ are independent.

Published on 26 Mar 2026 - 19:20

113

Views

Proof of a Probability Problem by Induction

Published on 30 Mar 2026 - 17:50

78

Views

Poisson Event After Time Interval

Published on 11 Apr 2026 - 10:03

List Question

Gaussian-like integration by parts on the high-dimensional hypersphere

Showing that the sample mean and variance are independent by showing two distribution are the same

Same stochastic momenta => identical distribution

joint PDF of 2 dependent variables w/ convolution

How to find pdf of X+Y given X and Y are dependent.

Calculate the expectation of random variable, integration of a function.

Find the marginal distribution of an point randomly chosen on an ellipse

$\Pr[\sum_i X_i^2 Y_i^2\ge t]$, Chernoff bound for sum of pairs of squared Normal random variables

fint joint and marginal distributions of two uniformy distributed variables over a specified region

Probability that the sample contains no more than 2 black balls

Approximating the cdf of the standard normal distribution

Integration of probabilities - decision theory - minimizing misclassification rate

How to calculate $\mathbb{P}(|U_{1} - U_{2}| < \frac{1}{12})$, where $U_{i} \sim \mathcal{U}(0, \frac{1}{2})$ and $U_{i}$ are independent.

Proof of a Probability Problem by Induction

Poisson Event After Time Interval

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