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

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

doi:10.1285/i20705948v13n2p293

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

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

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	293-349
Number of pages	57
Journal	Electronic Journal of Applied Statistical Analysis
Volume	13
Issue number	2
DOIs	https://doi.org/10.1285/i20705948v13n2p293
Publication status	Published - 2020

All Science Journal Classification (ASJC) codes

Statistics and Probability
Modelling and Simulation

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10.1285/i20705948v13n2p293

Cite this

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title = "A new generalized log-logistic Erlang truncated exponential distribution with applications",

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.",

author = "Broderick Oluyede and Jimoh, \{Hameed A.\} and Divine Wanduku and Boikanyo Makubate",

note = "Funding Information: The authors are particularly grateful to the anonymous referees and Editor for their useful comments and suggestions. Publisher Copyright: {\textcopyright} 2020 Universit{\`a} del Salento. All Rights Reserved.",

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doi = "10.1285/i20705948v13n2p293",

language = "English",

volume = "13",

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journal = "Electronic Journal of Applied Statistical Analysis",

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AU - Oluyede, Broderick

AU - Jimoh, Hameed A.

AU - Wanduku, Divine

AU - Makubate, Boikanyo

N1 - Funding Information: The authors are particularly grateful to the anonymous referees and Editor for their useful comments and suggestions. Publisher Copyright: © 2020 Università del Salento. All Rights Reserved.

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

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JO - Electronic Journal of Applied Statistical Analysis

JF - Electronic Journal of Applied Statistical Analysis

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ER -

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

Abstract

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