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Author
Alhyasat Khaldoon (School of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia), Kamarulzaman Ibrahim (School of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia), Al-Omari Amer Ibrahim (School of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia), Abu Bakar Mohd Aftar (Al al-Bayt University, Mafraq, Jordan)
Title
Power Size Biased Two-Parameter Akash Distribution
Source
Statistics in Transition, 2020, vol. 21, nr 3, s. 73-91, rys., tab., bibliogr. s. 89-91
Keyword
Kurtoza, Rozkład prawdopodobieństwa, Entropia
Kurtosis, Probability distributions, Entropy
Note
summ.
Abstract
In this paper, the two-parameter Akash distribution is generalized to size-biased two-parameter Akash distribution (SBTPAD). A further modification to SBTPAD is introduced, creating the power size-biased two-parameter Akash distribution (PSBTPAD). Several statistical properties of PSBTPAD distribution are proved. These properties include the following: moments, coefficient of variation, coefficient of skewness, coefficient of kurtosis, the maximum likelihood estimation of the distribution parameters, and finally order statistics. Moreover, plots of the density and distribution functions of PSBTPAD are presented and a reliability analysis is considered. The Rényi entropy of PSBTPAD is proved and the application of real data is discussed. (original abstract)
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The Library of Warsaw School of Economics
The Library of University of Economics in Katowice
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ISSN
1234-7655
Language
eng
URI / DOI
http://dx.doi.org/10.21307/stattrans-2020-045
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