List questions from order-statistics

Published on 12 Apr 2026 - 6:55

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expectation of maximum of iid random variables from normal distribution.

Published on 12 Apr 2026 - 16:49

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Number of sampling and expected value of 3rd-best draw

Published on 12 Apr 2026 - 3:52

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Exercise 2.20 from “Mathematical Statistics - Jun Shao”

Published on 16 Apr 2026 - 2:03

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Deriving order statistics with respect to sample size

Published on 16 Apr 2026 - 21:59

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If $X_1,X_2,X_3$ iid $\sim Exp(\lambda)$, find joint density of $X_{(3)}-X_{(2)}$ and $X_{(2)}$

Published on 25 Mar 2026 - 1:18

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A not complete Statistics

Published on 14 Apr 2026 - 17:50

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Complete Statistics for Uniform Distribution

Published on 16 Apr 2026 - 4:46

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Joint pmf of $(X_{(1)},X_{(n)})$ when $X_i$'s are i.i.d discrete uniform

Published on 16 Apr 2026 - 4:51

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$0<x<y<z<1, P(z-x<1/3)=$?

Published on 17 Apr 2026 - 0:04

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Asymptotic result of $\mathbb{E}\left[\max_{i=1,\cdots,K} |h_i|^2 \right]$?

Published on 06 May 2026 - 7:33

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Order statistics of order statsitics

Published on 12 Apr 2026 - 0:25

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Distribution of the closest sample to a certain point

Published on 15 Apr 2026 - 9:45

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The joint pdf of three or more order statistics is given by $f_{x_{(1)},x_{(2)},...x_{(n)}}(x_1,x_2,..x_n)=n! f(x_1)f(x_2)..f(x_n) $

Published on 17 Apr 2026 - 1:41

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Obtaining a positive definite covariance matrix of order statistics

Published on 15 Apr 2026 - 0:27

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Intuitive solution of an order combinatorics problem

expectation of maximum of iid random variables from normal distribution.

Number of sampling and expected value of 3rd-best draw

Exercise 2.20 from “Mathematical Statistics - Jun Shao”

Deriving order statistics with respect to sample size

If $X_1,X_2,X_3$ iid $\sim Exp(\lambda)$, find joint density of $X_{(3)}-X_{(2)}$ and $X_{(2)}$

A not complete Statistics

Complete Statistics for Uniform Distribution

Joint pmf of $(X_{(1)},X_{(n)})$ when $X_i$'s are i.i.d discrete uniform

$0<x<y<z<1, P(z-x<1/3)=$?

Asymptotic result of $\mathbb{E}\left[\max_{i=1,\cdots,K} |h_i|^2 \right]$?

Order statistics of order statsitics

Distribution of the closest sample to a certain point

The joint pdf of three or more order statistics is given by $f_{x_{(1)},x_{(2)},...x_{(n)}}(x_1,x_2,..x_n)=n! f(x_1)f(x_2)..f(x_n) $

Obtaining a positive definite covariance matrix of order statistics

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