List questions from order-statistics

Published on 07 Nov 2017 - 4:40

202

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Order Statistics w/ Max

Published on 10 Nov 2017 - 5:34

819

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CDF of the maximum of i.i.d. gamma random variable in closed form (or in power series)

Published on 26 Mar 2026 - 19:20

124

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Finding $P(X_{(2)} > 2X_{(1)})$ given $f_{X_{(1)},X_{(2)}}(x_1,x_2)=2e^{-x_1}e^{-x_2}I_{0 \lt x_1 \lt x_2}$

Published on 25 Nov 2017 - 23:42

44

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Show that $\frac{X_{(1)}+X_{(n)}}{2}$ is unbiased for $\theta$.

Published on 01 Dec 2017 - 17:16

17

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Ordering items based on weighted preferences

Published on 12 Mar 2026 - 17:56

1.1k

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Find $E[N]$ for $N =\min\{n:U_1+U_2\cdots+U_n>1\}$ where $U_1,U_2, . . .$ are independent uniform (0,1) random variables.

Published on 02 Dec 2017 - 14:54

659

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Class Boundaries Definition of discrete Data

Published on 07 Dec 2017 - 0:15

54

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How to prove these sufficient statistics?

Published on 11 Dec 2017 - 3:43

75

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Max(min()) random variable problem

Published on 11 Dec 2017 - 17:37

89

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Help integrating the mean of the minimum order statistic

Published on 11 Dec 2017 - 23:53

30

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Way of Ordering a ranked list

Published on 13 Dec 2017 - 13:30

56

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Condtional Expectation of Order Statistic

Published on 13 Dec 2017 - 20:26

152

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Interpretation of a Limiting Distribution

Published on 13 Dec 2017 - 22:12

710

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Is my understanding of Likelihood Ratio Tests and Likelihood Functions correct?

Published on 27 Mar 2026 - 14:28

List Question

minimal sufficient statistic of Cauchy distribution

Order Statistics w/ Max

CDF of the maximum of i.i.d. gamma random variable in closed form (or in power series)

Finding $P(X_{(2)} > 2X_{(1)})$ given $f_{X_{(1)},X_{(2)}}(x_1,x_2)=2e^{-x_1}e^{-x_2}I_{0 \lt x_1 \lt x_2}$

Show that $\frac{X_{(1)}+X_{(n)}}{2}$ is unbiased for $\theta$.

Ordering items based on weighted preferences

Find $E[N]$ for $N =\min\{n:U_1+U_2\cdots+U_n>1\}$ where $U_1,U_2, . . .$ are independent uniform (0,1) random variables.

Class Boundaries Definition of discrete Data

How to prove these sufficient statistics?

Max(min()) random variable problem

Help integrating the mean of the minimum order statistic

Way of Ordering a ranked list

Condtional Expectation of Order Statistic

Interpretation of a Limiting Distribution

Is my understanding of Likelihood Ratio Tests and Likelihood Functions correct?

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