List questions from order-statistics

Published on 27 May 2023 - 19:35

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Use the order statistics property to show that for $s<1 \text{ and } t\leq n $ that $P(N(s)=k|N(1)=n)={{n}\choose{k}} s^k (1-s)^{n-k}$

Published on 20 Jun 2023 - 8:48

37

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Does weak convergence transfer to order statistics?

Published on 23 Feb 2026 - 9:04

56

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Clarification about this post: The order statistics of uniform distribution $U_{n,k_n}→p$ a.s., when $K_n/n→p$

Published on 04 Jul 2023 - 14:09

258

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Find a complete sufficient statistic for Uniform$(\theta, \theta + 1)$

Published on 25 Mar 2026 - 6:27

26

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Order statistics computation

Published on 18 Jul 2023 - 6:47

313

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Distribution of the largest gap between uniform random variables

Published on 22 Jul 2023 - 17:55

71

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Show that $\bar{Y} - \min(Y_{1}, \dots, Y_{n})$ is independent of $\min(Y_{1}, \dots, Y_{n})$

Published on 25 Mar 2026 - 6:30

41

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Expected distance between a sample value and its successor in ascending order

Published on 26 Jul 2023 - 14:56

128

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Understanding the notion of percentiles

Published on 25 Mar 2026 - 23:37

74

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Is there a non-trivial max invariant family of distributions?

Published on 26 Mar 2026 - 3:01

37

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If $S$ is a set consisting of $n$ IID random variables, what is the probability there are $k$ elements smaller than a random element of $S$?

Published on 06 Aug 2023 - 17:27

33

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Distribution of concominant order statistics

Published on 17 Aug 2023 - 12:20

51

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Why $E[Z]$ becomes $\frac{1}{2}$ provided $Z=X_{(3)}-X_{(1)}$ ? (The expectation of order statistics)

Published on 22 Aug 2023 - 10:34

20

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Min, max, location and scale invariant family of continuous distributions with finite parameters

Published on 24 Aug 2023 - 21:53

List Question

Distribution of the minimum among $N$ random variables

Use the order statistics property to show that for $s<1 \text{ and } t\leq n $ that $P(N(s)=k|N(1)=n)={{n}\choose{k}} s^k (1-s)^{n-k}$

Does weak convergence transfer to order statistics?

Clarification about this post: The order statistics of uniform distribution $U_{n,k_n}→p$ a.s., when $K_n/n→p$

Find a complete sufficient statistic for Uniform$(\theta, \theta + 1)$

Order statistics computation

Distribution of the largest gap between uniform random variables

Show that $\bar{Y} - \min(Y_{1}, \dots, Y_{n})$ is independent of $\min(Y_{1}, \dots, Y_{n})$

Expected distance between a sample value and its successor in ascending order

Understanding the notion of percentiles

Is there a non-trivial max invariant family of distributions?

If $S$ is a set consisting of $n$ IID random variables, what is the probability there are $k$ elements smaller than a random element of $S$?

Distribution of concominant order statistics

Why $E[Z]$ becomes $\frac{1}{2}$ provided $Z=X_{(3)}-X_{(1)}$ ? (The expectation of order statistics)

Min, max, location and scale invariant family of continuous distributions with finite parameters

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