Family of Distributions Derived from Whittaker Function

Family of Distributions Derived from Whittaker Function

In this paper, we introduce a general family of distributions based on Whittaker function. The properties of obtained distributions, moments, ordering, percentiles, and unimodality are studied. The distributions’ parameters are estimated using methods of moments and maximum likelihood. Furthermore,...

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Bibliographic Details
Published in:Mathematics (Basel) Vol. 10; no. 7; p. 1058
Main Authors: Omair, Maha A., Tashkandy, Yusra A., Askar, Sameh, Alzaid, Abdulhamid A.
Format: Journal Article
Language:English
Published: Basel MDPI AG 01-04-2022
Subjects:
confluent hypergeometric series
generalized Whittaker distribution
Mathematics
Parameter estimation
Random variables
Whittaker distribution
Whittaker function
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Summary:In this paper, we introduce a general family of distributions based on Whittaker function. The properties of obtained distributions, moments, ordering, percentiles, and unimodality are studied. The distributions’ parameters are estimated using methods of moments and maximum likelihood. Furthermore, a generalization of Whittaker distribution that contains a wider class of distributions is developed. Validation of the obtained results is applied to real life data containing four data sets.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10071058