Let X1, n ≤ ... ≤ Xn,n, be the order statistics of a sample of size n from a distribution function F. Desu (1971) showed that if for all n ≥ 2, nX1,n is identically distributed as X1,1, then F is the ...
Let X1, X2, ⋯ be i.i.d. and Yk = max{X1, X2, ⋯, Xk}. Then Xj is a record value of the sequence if $Y_{j} > Y_{j - 1}$. Denoting record value times by Ln, n = 1, 2 ...
Students of statistics and researchers in search of a stats review will appreciate the Probability-Distributions app designed by Dr. Matthew Bognar at the University of Iowa. The app includes ...
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