Weighted Power Lomax Distribution and its Length Biased Version: Properties and Estimation Based on Censored Samples | [Pakistan Journal of Statistics and Operation Research • 2021]

Author(s):

1. Amal S. Hassan: Department of Mathematical Statistics, Cairo University, Faculty of Graduate Studies for Statistical Research, Egypt

2. Ehab M. Almetwally: Department of Mathematical Statistics, Cairo University, Faculty of Graduate Studies for Statistical Research,Egypt

3. Mundher Abdullah Khaleel: Department of Mathematics, Faculty of Computer Science and Mathematics, University of Tikrit, Tikrit, Iraq

4. Heba F. Nagy: Department of Mathematical Statistics, Cairo University, Faculty of Graduate Studies for Statistical Research, Egypt

Abstract:

In this paper, a weighted version of the power Lomax distribution referred to the weighted power Lomax distribution is introduced. The new distribution comprises the length biased and the area biased of the power Lomax distribution as new models as well as contains an existing model as the length biased Lomax distribution as special model. Essential distributional properties of the weighted power Lomax distribution are studied. Maximum likelihood and maximum product spacing methods are proposed for estimating the population parameters in cases of complete and type-II censored samples. Asymptotic confidence intervals of the model parameters are obtained. A sample generation algorithm along with a Monte Carlo simulation study is provided to demonstrate the pattern of the estimates for different sample sizes. Finally, a real-life data set is analyzed as an illustration and its length biased distribution is compared with some other lifetime distributions.

Page(s): 343-356

DOI: 10.18187/pjsor.v17i2.3360

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 17, Issue: 2, Year: 2021

Keywords:

Maximum Product Spacing , Monte Carlo simulation , Power Lomax distribution , Coverage probability , Approximate confidence intervals

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