Marshall-Olkin Power Lomax Distribution: Properties and Estimation Based on Complete and Censored Samples

Authors

Muhammad Ahsan Ul Haq, University of the Punjab
Gholamhossein Hamedani, Marquette UniversityFollow
M. Elgarhy, Valley High Institute for Management Finance and Information SystemsFollow
Pedro Luiz Ramos, University of São Paulo

Document Type

Article

Language

eng

Publication Date

1-2020

Publisher

Canadian Center of Science and Education

Source Publication

International Journal of Statistics and Probability

Source ISSN

1927-7032

Abstract

We study a new distribution called the Marshall-Olkin Power Lomax distribution. A comprehensive account of its mathematical properties including explicit expressions for the ordinary moments, moment generating function, order statistics, Renyi entropy, and probability weighted moments are derived. The model parameters are estimated by the method of maximum likelihood. Monte Carlo simulation study is carried out to estimate the parameters and the performance of the estimates is judged via the average biases and mean squared error values. The usefulness of the proposed model is illustrated via real-life data set.

Comments

Published version. International Journal of Statistics and Probability, Vol. 9, No. 1 (January 2020): 48-62. DOI. © 2020 Canadian Center of Science and Education. Used with permission.

Recommended Citation

Ul Haq, Muhammad Ahsan; Hamedani, Gholamhossein; Elgarhy, M.; and Ramos, Pedro Luiz, "Marshall-Olkin Power Lomax Distribution: Properties and Estimation Based on Complete and Censored Samples" (2020). Mathematical and Statistical Science Faculty Research and Publications. 63.
https://epublications.marquette.edu/math_fac/63