Area-biased log-logistic distribution: properties and application

Sidra Suhaib; Saleha Naghmi Habibullah; Kalsoom Akhtar Chaudhry

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Area-biased log-logistic distribution: properties and application

Author(s)

Sidra Suhaib Department of Statistics, Kinnaird College for Women, Lahore, Pakistan.

Saleha Naghmi Habibullah Department of Statistics, Kinnaird College for Women, Lahore, Pakistan.

Kalsoom Akhtar Chaudhry Department of Statistics, Kinnaird College for Women, Lahore, Pakistan.

Abstract

The development of new probability models is always a matter of interest for researchers and many techniques have been developed for the obtaining new probability distributions. The size-biasedness technique encompasses the development of length-biased and area-biased distributions. The objective of this research is to develop a new density function by applying area-biasing to the log-logistic distribution which is an important member of the class of self-inverse distributions. We derive a number of properties of the newly developed distribution including moments and moment ratios, hazard rate and survival function. In the last section of this paper, the area-biased log-logistic distribution is fitted to a real-life dataset for which an earlier research-work determined that the log-logistic distribution is a pretty well-fitting model. The Kolmogorov Smirnov test of goodness of fit indicates that the area-biased log-logistic distribution fits this data-set better than the original log-logistic distribution which points to the advantageousness of the newly derived density functions for purposes of modelling.

Publication Details

Page(s) 1582-1593

DOI DOI not available

Published Journal: Journal of Natural & Applied Sciences Pakistan, Volume: 5, Issue: 2, Year: 2023

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Keywords

Moments, Self-Inverse, Area-Biased, Kolmogrov Smirnov, Moment-Ratios

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