List questions from order-statistics

Published on 29 Oct 2018 - 7:54

104

Views

(Self-Study) UMVUE of the mean of a normal distribution

Published on 25 Mar 2026 - 1:38

301

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Uniform distribution, chi square test

Published on 31 Oct 2018 - 18:23

77

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Absolute moments of order statistics

Published on 31 Oct 2018 - 20:59

80

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Concentration of highest order statistic of bounded distribution

Published on 01 Nov 2018 - 16:44

18

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stochastic ordering of counting processes/vectors

Published on 23 Mar 2026 - 5:57

257

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Expectation of sample mean, given maximum and minimum order statistics

Published on 02 Nov 2018 - 6:25

377

Views

expected value of conditional order statistics

Published on 03 Nov 2018 - 2:46

27

Views

How do I prove the measurability of the $j$-th smallement element mapping function?

Published on 06 Nov 2018 - 5:35

216

Views

Expected value of order statistics $X_{(i+1)}$ conditional on $X_{(i)} < t$

Published on 09 Nov 2018 - 19:29

1.7k

Views

Why is the maximum of i.i.d. Gaussians asymptotically $\sqrt{2 \log n}$?

Published on 13 Nov 2018 - 0:10

155

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Inequality between Expectation and Quantiles

Published on 25 Mar 2026 - 14:00

67

Views

estimating the sum of Cauchy variables by its biggest terms

Published on 25 Mar 2026 - 11:33

220

Views

Order statistic of i.i.d exponential($\lambda$) random variables, $X_{(n, k_n)}$ convergence in probability

Published on 24 Mar 2026 - 0:58

512

Views

What is the rate of growth of $M_n := \max_{1 \le i \le n} U_i^{(n)}$, where $U_i^{(n)} \sim \operatorname{Uniform}[0,n]$? Is it "constant"?

Published on 25 Mar 2026 - 9:51

List Question

Minimal sufficient statistics for Cauchy distribution

(Self-Study) UMVUE of the mean of a normal distribution

Uniform distribution, chi square test

Absolute moments of order statistics

Concentration of highest order statistic of bounded distribution

stochastic ordering of counting processes/vectors

Expectation of sample mean, given maximum and minimum order statistics

expected value of conditional order statistics

How do I prove the measurability of the $j$-th smallement element mapping function?

Expected value of order statistics $X_{(i+1)}$ conditional on $X_{(i)} < t$

Why is the maximum of i.i.d. Gaussians asymptotically $\sqrt{2 \log n}$?

Inequality between Expectation and Quantiles

estimating the sum of Cauchy variables by its biggest terms

Order statistic of i.i.d exponential($\lambda$) random variables, $X_{(n, k_n)}$ convergence in probability

What is the rate of growth of $M_n := \max_{1 \le i \le n} U_i^{(n)}$, where $U_i^{(n)} \sim \operatorname{Uniform}[0,n]$? Is it "constant"?

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