List questions from probability-distributions

Published on 24 Mar 2026 - 21:22

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$f(x, \theta)= \frac{\theta}{x^2}$ with $x\geq\theta$ and $\theta>0$, find the MLE

Published on 25 Mar 2026 - 7:45

685

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An athlete tests positive for the PED. Given that the test had a positive result, what is the probability the tested individual uses the PED?

Published on 25 Mar 2026 - 4:43

468

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Do singular distributions have any real-world applications?

Published on 20 Mar 2026 - 0:39

22

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$\mathbb{E}_{x \sim p_{\text{data}}} \left[ \text{KL}(q_{\phi}(z|x) || p_{\theta}(z|x)) \right] = 0$ iff $p_\theta = p_{\text{data}}$

Published on 21 Feb 2018 - 6:40

2.3k

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Find cdf given pdf.

Published on 21 Feb 2018 - 6:44

46

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Simplification of PDF using the unit step function

Published on 21 Feb 2018 - 10:59

200

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Changing the index of a summation for probability density functions

Published on 26 Mar 2026 - 8:04

23

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confusion about chebyshev theorem

Published on 21 Feb 2018 - 16:11

699

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Understanding the acceptance-rejection method

Published on 21 Feb 2018 - 17:17

258

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Inequalities involving the cdf of a random variable

Published on 27 Mar 2026 - 1:44

27

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Exponential distribution - greater-/eqal, lower-/eqal, eqal

Published on 21 Feb 2018 - 19:59

174

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Find the cumulative distribution function of $Y=min(1,X)$ for $f(x)= \frac 1 2x$

Published on 22 Feb 2018 - 1:45

49

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Changing normal distribution given new data

Published on 26 Mar 2026 - 22:11

79

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What is the pdf of $N(0,\sigma^2)+\max\{N(0,\sigma^2),...,N(0,\sigma^2)\}$?

Published on 22 Feb 2018 - 12:11

List Question

Lipschitz constant after a Gaussian Convolution

$f(x, \theta)= \frac{\theta}{x^2}$ with $x\geq\theta$ and $\theta>0$, find the MLE

An athlete tests positive for the PED. Given that the test had a positive result, what is the probability the tested individual uses the PED?

Do singular distributions have any real-world applications?

$\mathbb{E}_{x \sim p_{\text{data}}} \left[ \text{KL}(q_{\phi}(z|x) || p_{\theta}(z|x)) \right] = 0$ iff $p_\theta = p_{\text{data}}$

Find cdf given pdf.

Simplification of PDF using the unit step function

Changing the index of a summation for probability density functions

confusion about chebyshev theorem

Understanding the acceptance-rejection method

Inequalities involving the cdf of a random variable

Exponential distribution - greater-/eqal, lower-/eqal, eqal

Find the cumulative distribution function of $Y=min(1,X)$ for $f(x)= \frac 1 2x$

Changing normal distribution given new data

What is the pdf of $N(0,\sigma^2)+\max\{N(0,\sigma^2),...,N(0,\sigma^2)\}$?

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