A Quasi Lindley Pareto Distribution: A Quasi Lindley Pareto Distribution

Asad  Ali; Qaisar  Rashid; Muhammad  Zubair; Muhammad Tariq  Jamshaid

Authors

Asad Ali 1Department of Quantitative Methods, SBE, University of Management and Technology, Lahore, Pakistan
Qaisar Rashid Department of Statistics, University of Sargodha, Pakistan
Muhammad Zubair Department of Statistics, University of Sargodha, Pakistan
Muhammad Tariq Jamshaid Department of Statistics, University of Sargodha, Pakistan

Keywords:

Moments, Order statistics, Survival, Hazard, Goodness of fit

Abstract

In applied sciences, the lifetime’s data models have been constructed to facilitate better modeling and significant progress towards the reliability analysis or survival analysis. For this purpose, a new distribution “Quasi Lindley Pareto Distribution (QLPD)” has been introduced. It’s Moments generating function, moments, mean, variance, coefficient of variation, skewness, kurtosis, survival function, hazard function, and distribution of extreme order statistics have been discussed. The maximum likelihood method has been discussed for estimating its parameters. The distribution has been fitted to real life data set to check its goodness of fit to which earlier the Lindley distribution and Quasi Lindley distribution have been fitted and it is found that QLPD provides closer fits than those by the Lindley distribution and Quasi Lindley distribution.

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A Quasi Lindley Pareto Distribution