Work

Characteristics of the GLLE Family of Lifetime Distributions, and Applications

Year: 2024

Type: article

Abstract: ABSTRACT. A Generalized Log-Logistic (GLL) family of lifetime distributions is one in which any pair of distributions are related through a GLL transformation, for some (non-negative) value of the transformation parameter (the odds function of the second distribution is the power of the odds function of the first distribution). We consider GLL families generated from an exponential distribution. We derive some useful characteristics of these distributions; moreover, we discuss the hazard rates and Kullback-Leibler divergence, then illustrate the usefulness of this distribution family by fitting real data sets.

Source: Journal of Probability and Statistical Science

DOI: 10.37119/jpss2024.v22i1.782

Authors: James U. Gleaton, Sami Hamid, Ping Sa

Institution: University of North Florida

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404123713

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