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OPERATOR METHODS IN ORDER STATISTICS
Author(s) -
Balasubramanian K.,
Balakrishnan N.,
Malik H.J.
Publication year - 1992
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1992.tb01064.x
Subject(s) - operator (biology) , order statistic , mathematics , statistics , differential operator , order (exchange) , mathematical analysis , economics , biochemistry , chemistry , finance , repressor , transcription factor , gene
Summary This paper presents operator methods, based on difference and differential operators, for establishing identities satisfied by distributions of order statistics. In addition to deducing many known identities, these operator methods may also be used to derive several new identities for distributions of order statistics.