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1987•Statistica NeerlandicaRequires access

On Discrete oc–Unimodality

Abdulrahman M. Abouammoh

Open publisher page 16 citations

Abstract

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).

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What this paper is about

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).

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Available abstract

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).

Key concepts: Unimodality, Mathematics, Limiting, Random variable, Integer (computer science), Combinatorics, Discrete mathematics, Applied mathematics

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