A new generalized log-logistic Erlang truncated exponential distribution with applications

Broderick Oluyede, Hameed A. Jimoh, Divine Wanduku, Boikanyo Makubate

Research output: Contribution to journalArticlepeer-review

Abstract

We introduce a new distribution via the Marshall-Olkin generator called the Marshall-Olkin Log-logistic Erlang-Truncated Exponential (MOLLoGETE) distribution. Some structural properties of the distribution including series expansion of the density function, sub-models, hazard function, moments, conditional moments, mean deviations, distribution of order statistics, Renyi entropy and maximum likelihood estimates are presented. The new density function is an infinite linear combinations of Burr XII-Erlang-Truncated Exponential distributions. The new generalization is applied to real data sets to evaluate the model performance.

Original languageEnglish
Pages (from-to)293-349
Number of pages57
JournalElectronic Journal of Applied Statistical Analysis
Volume13
Issue number2
DOIs
Publication statusPublished - 2020

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modelling and Simulation

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