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Research Article Open access CC BY 4.0

Analytic Representation of Probability Density Function of Random Variable in Distributional Sense

Bedrije Bedjeti, Mejdin Saliji, Vesna Manova Eraković

Journal of Advances in Mathematics and Computer Science · pp. 82–92 · Published 2 Sep 2022

10.9734/jamcs/2022/v37i730467

Abstract

In this paper, we have proved that the probability density function \(f(t)\) considered as a distribution has a Cauchy representation in \(O_\alpha^{\prime}\). The distribution space \(O_\alpha^{\prime}\) is intermediate space between \(E^{\prime}\) and \(D^{\prime}\).

Space D’ space \(O_\alpha^{\prime}\) Space \(D_{L^b}\) Cauchy representation random variable discrete random variable probability density analytic representation support spectrum

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