An application of discrete fractional calculus in statistics

We introduced generalized random variables of discrete type, studied some of their properties and then related these to continuous random variable which has been studied by Ganji and Gharari [8]. With this introduction, we obtained a new relationship between discrete fractional calculus and statisti...

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Bibliographic Details
Published in:Investigación operacional 2017-09, Vol.38 (3), p.273
Main Authors: Ganji, Masoud, Gharari, Fatemeh
Format: Article
Language:English
Online Access:Get full text
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Summary:We introduced generalized random variables of discrete type, studied some of their properties and then related these to continuous random variable which has been studied by Ganji and Gharari [8]. With this introduction, we obtained a new relationship between discrete fractional calculus and statistics. Also, the fractional versions of the discrete uniform distribution are developed and their statistical properties are discussed. KEY WORDS: Fractional sum, Fractional difference, Discrete uniform distribution, Generalized random variable. MSC: 60E05, 39A12. Hemos introducido variables aleatorias generalizadas de tipo discreto, estudiamos algunas de sus propiedades y, a continuacion relacionamos estos a la variable aleatoria continua que ha sido estudiado por Ganji y Gharari [8]. Con esta introduccion, se obtuvo una nueva relacion entre el calculo fraccional discreto y estadisticas. Ademas, las versiones fraccionarias de la distribucion uniforme discreta se desarrollan y sus propiedades estadisticas se discuten.
ISSN:0257-4306