On the Rayleigh-geometric distribution with applications

Idika E. Okorie; Anthony C. Akpanta; Johnson Ohakwe; David C. Chikezie; Chris U. Onyemachi

doi:10.1016/j.heliyon.2019.e02200

On the Rayleigh-geometric distribution with applications

Idika E. Okorie, Anthony C. Akpanta, Johnson Ohakwe, David C. Chikezie, Chris U. Onyemachi

Mathematics

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

8 Scopus citations

Abstract

A two-parameter Rayleigh-geometric distribution with increasing-decreasing-increasing and strictly increasing hazard rate characteristics is reviewed. Various properties are discussed and expressed analytically. The estimation of the distribution parameters is studied by the method of maximum likelihood and validated by a simulation study. Numerical examples based on two real data-sets on the waiting time in queue and CO₂ emissions are given. The Rayleigh-geometric distribution in this paper has a simpler analytical expression compared to the pre-existing distributions with different parameterizations.

Original language	British English
Article number	e02200
Journal	Heliyon
Volume	5
Issue number	8
DOIs	https://doi.org/10.1016/j.heliyon.2019.e02200
State	Published - Aug 2019

Keywords

Geometric distribution
Hazard rate
Mathematics
Maximum likelihood
Queueing analysis
Rayleigh distribution

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1016/j.heliyon.2019.e02200

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title = "On the Rayleigh-geometric distribution with applications",

abstract = "A two-parameter Rayleigh-geometric distribution with increasing-decreasing-increasing and strictly increasing hazard rate characteristics is reviewed. Various properties are discussed and expressed analytically. The estimation of the distribution parameters is studied by the method of maximum likelihood and validated by a simulation study. Numerical examples based on two real data-sets on the waiting time in queue and CO2 emissions are given. The Rayleigh-geometric distribution in this paper has a simpler analytical expression compared to the pre-existing distributions with different parameterizations.",

keywords = "Geometric distribution, Hazard rate, Mathematics, Maximum likelihood, Queueing analysis, Rayleigh distribution",

author = "Okorie, {Idika E.} and Akpanta, {Anthony C.} and Johnson Ohakwe and Chikezie, {David C.} and Onyemachi, {Chris U.}",

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AU - Akpanta, Anthony C.

AU - Ohakwe, Johnson

AU - Chikezie, David C.

AU - Onyemachi, Chris U.

PY - 2019/8

Y1 - 2019/8

N2 - A two-parameter Rayleigh-geometric distribution with increasing-decreasing-increasing and strictly increasing hazard rate characteristics is reviewed. Various properties are discussed and expressed analytically. The estimation of the distribution parameters is studied by the method of maximum likelihood and validated by a simulation study. Numerical examples based on two real data-sets on the waiting time in queue and CO2 emissions are given. The Rayleigh-geometric distribution in this paper has a simpler analytical expression compared to the pre-existing distributions with different parameterizations.

AB - A two-parameter Rayleigh-geometric distribution with increasing-decreasing-increasing and strictly increasing hazard rate characteristics is reviewed. Various properties are discussed and expressed analytically. The estimation of the distribution parameters is studied by the method of maximum likelihood and validated by a simulation study. Numerical examples based on two real data-sets on the waiting time in queue and CO2 emissions are given. The Rayleigh-geometric distribution in this paper has a simpler analytical expression compared to the pre-existing distributions with different parameterizations.

KW - Geometric distribution

KW - Hazard rate

KW - Mathematics

KW - Maximum likelihood

KW - Queueing analysis

KW - Rayleigh distribution

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VL - 5

JO - Heliyon

JF - Heliyon

IS - 8

M1 - e02200

ER -

On the Rayleigh-geometric distribution with applications

Abstract

Keywords

UN SDGs

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