List questions from order-statistics

Published on 14 Apr 2026 - 5:51

108

Views

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

Published on 10 May 2026 - 13:50

305

Views

Uniform distribution, chi square test

Published on 13 Apr 2026 - 12:07

80

Views

Absolute moments of order statistics

Published on 14 Apr 2026 - 4:26

83

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Concentration of highest order statistic of bounded distribution

Published on 11 Apr 2026 - 23:35

20

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stochastic ordering of counting processes/vectors

Published on 09 Apr 2026 - 23:51

260

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Expectation of sample mean, given maximum and minimum order statistics

Published on 12 Apr 2026 - 5:25

380

Views

expected value of conditional order statistics

Published on 14 Apr 2026 - 1:18

31

Views

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

Published on 10 Apr 2026 - 14:39

219

Views

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

Published on 15 Apr 2026 - 19:41

1.7k

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

Published on 14 Apr 2026 - 20:59

158

Views

Inequality between Expectation and Quantiles

Published on 10 May 2026 - 19:45

67

Views

estimating the sum of Cauchy variables by its biggest terms

Published on 25 Mar 2026 - 11:33

221

Views

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

Published on 25 Mar 2026 - 17:45

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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