Question

Prove $T^{2}$ Hotelling central statistic

score 76 · Answer 1 · 2026-04-16 03:36:29

76

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Prove $T^{2}$ Hotelling central statistic

Published on 16 Apr 2026 - 3:36

score 74 · Answer 2 · 2026-04-15 05:47:40

74

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What distribution has the probability generating function $\mathbb E[s^X]=\left(\frac{1-\delta P}{1-sP}\right)^{\frac{1-s}{\delta-s}}$?

Published on 15 Apr 2026 - 5:47

score 93 · Answer 3 · 2026-04-14 04:02:40

93

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First Occurrence of a Type of Card in a Randomly Shuffled Deck

Published on 14 Apr 2026 - 4:02

score 34 · Answer 4 · 2026-04-14 22:13:29

34

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What can we say about $N_{i}$ where $N=N_{1}+\cdots+N_{m}$, $N\thicksim Geom(\frac{1-p}{p})$ and conditional distribution of $N_{j}$ is binomial.

Published on 14 Apr 2026 - 22:13

score 123 · Answer 5 · 2026-04-16 01:55:39

123

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Show that $X_{(1)}$ and $X_{(2)}−X_{(1)}$ are independent, and determine their distributions.

Published on 16 Apr 2026 - 1:55

score 240 · Answer 6 · 2026-04-17 14:27:55

240

Views

Concatenating two Markov chains

Published on 17 Apr 2026 - 14:27

score 2.2k · Answer 7 · 2026-04-14 03:07:56

2.2k

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Gaussian Mixture Model: What is a "universal approximator of densities"?

Published on 14 Apr 2026 - 3:07

score 870 · Answer 8 · 2026-04-11 17:05:35

870

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Conditional running maximum of Geometric Brownian Motion (maximum of Brownian Bridge)

Published on 11 Apr 2026 - 17:05

score 667 · Answer 9 · 2026-04-16 03:22:11

667

Views

Pdf of $\sin X$ when $X$ has the pdf $f(x)=\frac{2x}{\pi^2}1_{0<x<\pi}$

Published on 16 Apr 2026 - 3:22

score 602 · Answer 10 · 2026-03-25 12:46:03

602

Views

Polya's theorem implies Glivenko-Cantelli for continuous distributions

Published on 25 Mar 2026 - 12:46

score 1.1k · Answer 11 · 2026-04-10 20:19:04

1.1k

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About Conditional Variance $X$ Has distribution $ U(0,1)$ and $Y$ has distribution $ U(0,X)$

Published on 10 Apr 2026 - 20:19

score 637 · Answer 12 · 2026-04-08 20:04:27

637

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Interarrival Time Distribution of a Poisson Process

Published on 08 Apr 2026 - 20:04

score 60 · Answer 13 · 2026-03-26 08:14:21

60

Views

How to show the following weak convergence using characteristic function

Published on 26 Mar 2026 - 8:14

score 158 · Answer 14 · 2026-04-09 18:48:56

158

Views

Possible generalization of multivariate hypergeometric distribution

Published on 09 Apr 2026 - 18:48

score 175 · Answer 15 · 2026-04-10 08:53:44

175

Views

How to derive the expectation of Gompertz distribution?

Published on 10 Apr 2026 - 8:53

List Question

Prove $T^{2}$ Hotelling central statistic

What distribution has the probability generating function $\mathbb E[s^X]=\left(\frac{1-\delta P}{1-sP}\right)^{\frac{1-s}{\delta-s}}$?

First Occurrence of a Type of Card in a Randomly Shuffled Deck

What can we say about $N_{i}$ where $N=N_{1}+\cdots+N_{m}$, $N\thicksim Geom(\frac{1-p}{p})$ and conditional distribution of $N_{j}$ is binomial.

Show that $X_{(1)}$ and $X_{(2)}−X_{(1)}$ are independent, and determine their distributions.

Concatenating two Markov chains

Gaussian Mixture Model: What is a "universal approximator of densities"?

Conditional running maximum of Geometric Brownian Motion (maximum of Brownian Bridge)

Pdf of $\sin X$ when $X$ has the pdf $f(x)=\frac{2x}{\pi^2}1_{0<x<\pi}$

Polya's theorem implies Glivenko-Cantelli for continuous distributions

About Conditional Variance $X$ Has distribution $ U(0,1)$ and $Y$ has distribution $ U(0,X)$

Interarrival Time Distribution of a Poisson Process

How to show the following weak convergence using characteristic function

Possible generalization of multivariate hypergeometric distribution

How to derive the expectation of Gompertz distribution?

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