Marshall-Olkin Alpha Power Rayleigh Distribution: Properties, Characterizations, Estimation and Engineering Applications

Authors

Ehab M. Almetwally, Delta University of Science and Technology
Ahmed Z. Afify, Benha University
Gholamhossein Hamedani, Marquette UniversityFollow

Document Type

Article

Publication Date

2021

Publisher

University of the Punjab

Source Publication

Pakistan Journal of Statistics and Operation Research

Source ISSN

1816-2711

Abstract

In this paper, we introduce a new there-parameter Rayleigh distribution, called the Marshall-Olkin alpha power Rayleigh (MOAPR) distribution. Some statistical properties of the MOAPR distribution are obtained. The proposed model is characterized based on truncated moments and reverse hazard function. The maximum likelihood and bootstrap estimation methods are considered to estimate the MOPAR parameters. A Monte Carlo simulation study is performed to compare the maximum likelihood and bootstrap estimation methods. Superiority of the MOAPR distribution over some well-known distributions is illustrated by means of two real data sets.

Comments

Published version. Pakistan Journal of Statistics and Operation Research, Vol. 17, No. 3 (2021): 69-84. DOI. This article is © The Authors, published by University of the Punjab. Used with permission.

Recommended Citation

Almetwally, Ehab M.; Afify, Ahmed Z.; and Hamedani, Gholamhossein, "Marshall-Olkin Alpha Power Rayleigh Distribution: Properties, Characterizations, Estimation and Engineering Applications" (2021). Mathematical and Statistical Science Faculty Research and Publications. 88.
https://epublications.marquette.edu/math_fac/88