Study of Alpha Power Weibull Distribution with Application

Section: Research Paper
Issue
Vol. 21 No. 1 (2024): Volume 21 Issue 1
Published
Jun 25, 2025
Pages
112-126

Abstract

The Gull Alpha power transform (GAPT) is a family which introduces a single additional parameter to classical continuous probability distribution.The parameter increases the flexibility of classical distribution. This family is used to make the standard Weibull distribution which is called a Gull Alpha Power transform Weibull (GAPTW) distribution more flexible in application .Some statistical properties of GAPTW distribution , median ,quartiles ,moments and mode have been discussed. Maximum Product of Spacing (MPS) and Cramer _Von Mises (CVM) method of estimation is used to estimate the parameters of the distribution .It is concluded that the GAPTW is a heavier tailed than weibull distribution and its (hr) function can be increasing, decreasing or bathtube when the shape parameters is defined on sub intervals of their sample space. From the application side, the GAPTW distribution has a flexible application in medical field , specifically in modeling cancer data and an engineering field .

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Authors

mudrka hussin Aljumaily

Department of Statistics and Informatics Science, College of Computer Sciences And Mathematics, University of Mosul ,Iraq.

Hayfa Abdul Jawad Saieed

Department of Statistics and Informatics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq

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How to Cite

hussin Aljumaily, mudrka, مدركة, & Abdul Jawad Saieed, H. (2025). Study of Alpha Power Weibull Distribution with Application. IRAQI JOURNAL OF STATISTICAL SCIENCES, 21(1), 112–126. Retrieved from https://rjps.uomosul.edu.iq/index.php/stats/article/view/20590