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Article
A New Generalized Log-Logistic Erlang Truncated Exponential Distribution with Applications
Electronic Journal of Applied Statistical Analysis (EJASA)
  • Broderick O. Oluyede, Georgia Southern University
  • Hameed Abiodun Jimoh, Georgia Southern University
  • Divine Wanduku, Georgia Southern University
  • Boikanyo Makubate, Botswana International University of Science and Technology
Document Type
Article
Publication Date
1-1-2020
DOI
10.1285/i20705948v13n2p293
Disciplines
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, R´enyi 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.

Citation Information
Broderick O. Oluyede, Hameed Abiodun Jimoh, Divine Wanduku and Boikanyo Makubate. "A New Generalized Log-Logistic Erlang Truncated Exponential Distribution with Applications" Electronic Journal of Applied Statistical Analysis (EJASA) Vol. 13 Iss. 2 (2020) p. 293 - 349
Available at: http://works.bepress.com/divine-wanduku/54/