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Some results on discrete a–monotonicity
Author(s) -
Alzaid A.A.,
Al–Osh D.A.
Publication year - 1990
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1990.tb01270.x
Subject(s) - monotonic function , mathematics , characterization (materials science) , poisson distribution , binomial (polynomial) , class (philosophy) , mixing (physics) , negative binomial distribution , binomial distribution , pure mathematics , discrete mathematics , statistics , mathematical analysis , computer science , materials science , physics , quantum mechanics , artificial intelligence , nanotechnology
Some characterizations and preservation properties of a–monotonicity are investigated. In particular it is shown that a mixture of binomial or Poisson distributions preserves the a–monotonicity of the mixing distribution. Also, a characterization of a class of infinitely divisible distributions, within the discrete α–unimodal class, is given. This characterization is the discrete version of that of ALAMATSAZ (1985) and KOTZ and STEUTEL (1988) in the continuous case.