Power Size Biased Two-Parameter Akash Distribution

• Authors: Khaldoon Alhyasat , Ibrahim Kamarulzaman , Amer Ibrahim Al-Omari , Mohd Aftar Abu Bakar

Abstracts

EN

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.

Keywords

EN

moments; moments; moments; moments; moments; moments; moments; moments; moments

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2020
• Volume: 21
• Issue: 3
• Pages: 73-91

Contributors

author

Khaldoon Alhyasat

• School of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, UKM Bangi, Malaysia

author

Ibrahim Kamarulzaman

• School of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, UKM Bangi, Malaysia

author

Amer Ibrahim Al-Omari

• School of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, UKM Bangi, Malaysia

• https://orcid.org/0000000269018263

author

Mohd Aftar Abu Bakar

• Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq, Jordan

• https://orcid.org/0000000230096168

Identifiers

DOI

10.21307/stattrans-2020-045

Biblioteka Nauki

1058932