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An alternative proof of order statistics moment problem
Author(s) -
Ali M. M.
Publication year - 1976
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3315271
Subject(s) - order statistic , statistics , mathematics , order (exchange) , moment (physics) , integer (computer science) , combinatorics , sample size determination , physics , computer science , quantum mechanics , finance , economics , programming language
A necessary and sufficient condition that two distributions having finite means are identical is that for any fixed integer r > 0 , the expected values of their r th ( n ≫ r ) order statistics are equal [or the expected values of their ( n‐r )th ( n > r ≫ 0 ) order statistics are equal] for all n where n is the sample size.
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