A New Generalized Log-Logistic Erlang Truncated Exponential Distribution with Applications

Broderick O. Oluyede; Hameed Abiodun Jimoh; Divine Wanduku; Boikanyo Makubate

doi:10.1285/i20705948v13n2p293

A New Generalized Log-Logistic Erlang Truncated Exponential Distribution with Applications

Broderick O. Oluyede
, Hameed Abiodun Jimoh
, Divine Wanduku
, Boikanyo Makubate

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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	American English
Journal	Electronic Journal of Applied Statistical Analysis (EJASA)
Volume	13
DOIs	https://doi.org/10.1285/i20705948v13n2p293
State	Published - Jan 1 2020

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Mathematics

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https://www.doi.org/10.1285/i20705948v13n2p293

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

year = "2020",

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doi = "10.1285/i20705948v13n2p293",

language = "American English",

volume = "13",

journal = "Electronic Journal of Applied Statistical Analysis (EJASA)",

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T1 - A New Generalized Log-Logistic Erlang Truncated Exponential Distribution with Applications

AU - Oluyede, Broderick O.

AU - Jimoh, Hameed Abiodun

AU - Wanduku, Divine

AU - Makubate, Boikanyo

PY - 2020/1/1

Y1 - 2020/1/1

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.

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/758

UR - https://www.doi.org/10.1285/i20705948v13n2p293

U2 - 10.1285/i20705948v13n2p293

DO - 10.1285/i20705948v13n2p293

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VL - 13

JO - Electronic Journal of Applied Statistical Analysis (EJASA)

JF - Electronic Journal of Applied Statistical Analysis (EJASA)

ER -

A New Generalized Log-Logistic Erlang Truncated Exponential Distribution with Applications

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