University of Bahrain
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New Classes of Univariate Continuous Exponential Power Series Distributions

Show simple item record Ahsanullah, M. Hamedani, G. G. Shakil, M. Kibria, , B.M. Golam George, F. 2018-08-01T05:35:32Z 2018-08-01T05:35:32Z 2016
dc.identifier.issn 2384-4795
dc.description.abstract Recently, many researchers have developed various classes of continuous probability distributions which can be generated via the generalized Pearson differential equation and other techniques. In this paper, motivated by the importance of the power series in probability theory and its applications, we derive some new classes of univariate exponential power series distributions for a realvalued continuous random variable, which we call exponential power series distributions. Various mathematical properties of the proposed classes of distributions are discussed. Based on these distributional properties, we have established some characterizations of these distributions as well. It is hoped that the findings of the paper will be useful for researchers in the fields of probability, statistics and other applied sciences. en_US
dc.language.iso en en_US
dc.publisher University of Bahrain en_US
dc.rights Attribution-NonCommercial-ShareAlike 4.0 International *
dc.rights.uri *
dc.subject Characterization
dc.subject Generalized Pearson differential equation
dc.subject Hazard function
dc.subject Pearson system
dc.subject Power series
dc.title New Classes of Univariate Continuous Exponential Power Series Distributions en_US
dc.type Article en_US
dc.volume 03
dc.issue 02
dc.source.title International Journal of Computational and Theoretical Statistics
dc.abbreviatedsourcetitle IJCTS

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