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Erscheinungsjahr: 
2020
Quellenangabe: 
[Journal:] Statistics in Transition New Series [ISSN:] 2450-0291 [Volume:] 21 [Issue:] 3 [Publisher:] Exeley [Place:] New York [Year:] 2020 [Pages:] 73-91
Verlag: 
Exeley, New York
Zusammenfassung: 
In this paper, the two-parameter Akash distribution is generalized to size-biased twoparameter 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.
Schlagwörter: 
Akash distribution
two-parameter Akash distribution
size-biased distribution
moments
coefficient of variation
coefficient of skewness
coefficient of kurtosis
maximum likelihood estimation
entropy
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