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On Discrete oc–Unimodality
Author(s) -
Abouammoh A.M.
Publication year - 1987
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.1467-9574.1987.tb01216.x
Subject(s) - unimodality , mathematics , limiting , random variable , integer (computer science) , combinatorics , discrete mathematics , statistics , computer science , mechanical engineering , engineering , programming language
A definition of α–unimodality for integer–valued random variables is introduced. Some characterization results in terms of probability mass functions and characteristic functions are established. Properties of generalized discrete uni–modality are investigated. Further, by use of limiting properties, discrete α–unimodality is shown to lead to the concept of α–unimodality for the real–valued random variables due to OLSHEN and SAVAGE (1970).