Question

What is $E\left[T_n(X_1,\ldots,X_n)\mid X_{(1)},\ldots,X_{(n)}\right]$ if $X_1,\ldots,X_n$ are i.i.d random variables?

score 90 · Answer 1 · 2021-11-06 20:31:53

90

Views

What is $E\left[T_n(X_1,\ldots,X_n)\mid X_{(1)},\ldots,X_{(n)}\right]$ if $X_1,\ldots,X_n$ are i.i.d random variables?

Published on 06 Nov 2021 - 20:31

score 70 · Answer 2 · 2021-11-08 16:10:45

70

Views

Prove that $P(X(n) ≤ k\ln(n)) = 0$ for $k < 1$ and that $P(X(n) ≤ k\ln(n)) = 1$ for $k > 1$

Published on 08 Nov 2021 - 16:10

score 354 · Answer 3 · 2021-11-12 15:34:20

354

Views

What does the plus/minus subscript notation mean under the expectation?

Published on 12 Nov 2021 - 15:34

score 178 · Answer 4 · 2021-11-21 06:17:18

178

Views

German Tank Problem - Expectation and Variance of Maximum Order Statistic

Published on 21 Nov 2021 - 6:17

score 326 · Answer 5 · 2021-11-25 02:09:43

326

Views

Expectation of the maximum of two correlated standard normal variables squared

Published on 25 Nov 2021 - 2:09

score 232 · Answer 6 · 2021-11-25 10:18:51

232

Views

Expected value of kth order statistic drawn from ANY uniform distribution

Published on 25 Nov 2021 - 10:18

score 28 · Answer 7 · 2021-11-25 14:02:25

28

Views

Expectation of custom algorithm with order statistics

Published on 25 Nov 2021 - 14:02

score 106 · Answer 8 · 2021-11-25 16:39:42

106

Views

Law of large numbers for partial sums of order statistics

Published on 25 Nov 2021 - 16:39

score 41 · Answer 9 · 2021-11-30 07:53:54

41

Views

What is the joint density function of two dependent standard Normal random variables, i.e., $X+Y = 0$?

Published on 30 Nov 2021 - 7:53

score 109 · Answer 10 · 2021-12-05 06:38:48

109

Views

Limits of integration for range of uniform distribution

Published on 05 Dec 2021 - 6:38

score 97 · Answer 11 · 2021-12-05 22:17:50

97

Views

Order statistics for exponential

Published on 05 Dec 2021 - 22:17

score 27 · Answer 12 · 2021-12-06 15:10:31

27

Views

Computing the density of the smallest and second smallest values

Published on 06 Dec 2021 - 15:10

score 197 · Answer 13 · 2021-12-07 22:56:40

197

Views

Expected sample median from exponential distribution

Published on 07 Dec 2021 - 22:56

score 134 · Answer 14 · 2021-12-08 20:02:05

134

Views

Variance of the median estimator of normal distribution

Published on 08 Dec 2021 - 20:02

score 442 · Answer 15 · 2021-12-09 23:35:21

442

Views

Expected value of order statistics from uniform distribution

Published on 09 Dec 2021 - 23:35

List Question

What is $E\left[T_n(X_1,\ldots,X_n)\mid X_{(1)},\ldots,X_{(n)}\right]$ if $X_1,\ldots,X_n$ are i.i.d random variables?

Prove that $P(X(n) ≤ k\ln(n)) = 0$ for $k < 1$ and that $P(X(n) ≤ k\ln(n)) = 1$ for $k > 1$

What does the plus/minus subscript notation mean under the expectation?

German Tank Problem - Expectation and Variance of Maximum Order Statistic

Expectation of the maximum of two correlated standard normal variables squared

Expected value of kth order statistic drawn from ANY uniform distribution

Expectation of custom algorithm with order statistics

Law of large numbers for partial sums of order statistics

What is the joint density function of two dependent standard Normal random variables, i.e., $X+Y = 0$?

Limits of integration for range of uniform distribution

Order statistics for exponential

Computing the density of the smallest and second smallest values

Expected sample median from exponential distribution

Variance of the median estimator of normal distribution

Expected value of order statistics from uniform distribution

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