List questions from order-statistics

Published on 27 Jul 2019 - 0:14

69

Views

Is the range of a sample of size n a "sufficient statistic"?

Published on 25 Mar 2026 - 3:24

36

Views

Show that $\int_{0}^{1}\left[\frac{I\left(x,n,N-n\right)-I\left(x,n,N-n\right)}{1-2n/N}\right]^{2}dx$ is increasing in $n$?

Published on 25 Mar 2026 - 9:50

24

Views

Searching for a first occurence: rate of approach

Published on 02 Aug 2019 - 21:12

336

Views

Show $\min(X_1,...,X_n)-1/n$ is an unbiased estimator of $\theta$.

Published on 05 Aug 2019 - 16:21

134

Views

Finding the minimum $P(X_i>X_j)$ for all $i\neq j$?

Published on 24 Mar 2026 - 4:16

116

Views

expectation of upper quantile proportion

Published on 25 Mar 2026 - 6:19

207

Views

Finding value of $r$ for which $n^r(1-X_{(n)})$ converges in distribution

Published on 26 Aug 2019 - 19:49

53

Views

Order statistics in limit

Published on 04 Sep 2019 - 20:58

1.7k

Views

Variance of sample median of normal distribution

Published on 25 Mar 2026 - 9:38

754

Views

Finding the MLE if the second derivative is not less than 0

Published on 09 Sep 2019 - 22:45

44

Views

Expected value of general uniform order statistics

Published on 18 Sep 2019 - 21:38

97

Views

Order Statistics $P(X_i|X_{(j)})$

Published on 20 Sep 2019 - 20:35

99

Views

Order Statistic Question (unable to understand why)

Published on 23 Sep 2019 - 11:53

816

Views

Showing independence of ratio of ordered statistics for uniform distribution

Published on 27 Sep 2019 - 22:18

List Question

Expectation of maximum of n i.i.d random variables

Is the range of a sample of size n a "sufficient statistic"?

Show that $\int_{0}^{1}\left[\frac{I\left(x,n,N-n\right)-I\left(x,n,N-n\right)}{1-2n/N}\right]^{2}dx$ is increasing in $n$?

Searching for a first occurence: rate of approach

Show $\min(X_1,...,X_n)-1/n$ is an unbiased estimator of $\theta$.

Finding the minimum $P(X_i>X_j)$ for all $i\neq j$?

expectation of upper quantile proportion

Finding value of $r$ for which $n^r(1-X_{(n)})$ converges in distribution

Order statistics in limit

Variance of sample median of normal distribution

Finding the MLE if the second derivative is not less than 0

Expected value of general uniform order statistics

Order Statistics $P(X_i|X_{(j)})$

Order Statistic Question (unable to understand why)

Showing independence of ratio of ordered statistics for uniform distribution

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