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On the Rayleigh-geometric distribution with applications
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 likeli...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Elsevier
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6695284/ https://www.ncbi.nlm.nih.gov/pubmed/31428712 http://dx.doi.org/10.1016/j.heliyon.2019.e02200 |
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author | Okorie, Idika E. Akpanta, Anthony C. Ohakwe, Johnson Chikezie, David C. Onyemachi, Chris U. |
author_facet | Okorie, Idika E. Akpanta, Anthony C. Ohakwe, Johnson Chikezie, David C. Onyemachi, Chris U. |
author_sort | Okorie, Idika E. |
collection | PubMed |
description | 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 CO(2) emissions are given. The Rayleigh-geometric distribution in this paper has a simpler analytical expression compared to the pre-existing distributions with different parameterizations. |
format | Online Article Text |
id | pubmed-6695284 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | Elsevier |
record_format | MEDLINE/PubMed |
spelling | pubmed-66952842019-08-19 On the Rayleigh-geometric distribution with applications Okorie, Idika E. Akpanta, Anthony C. Ohakwe, Johnson Chikezie, David C. Onyemachi, Chris U. Heliyon Article 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 CO(2) emissions are given. The Rayleigh-geometric distribution in this paper has a simpler analytical expression compared to the pre-existing distributions with different parameterizations. Elsevier 2019-08-05 /pmc/articles/PMC6695284/ /pubmed/31428712 http://dx.doi.org/10.1016/j.heliyon.2019.e02200 Text en © 2019 The Authors. Published by Elsevier Ltd. http://creativecommons.org/licenses/by-nc-nd/4.0/ This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). |
spellingShingle | Article Okorie, Idika E. Akpanta, Anthony C. Ohakwe, Johnson Chikezie, David C. Onyemachi, Chris U. On the Rayleigh-geometric distribution with applications |
title | On the Rayleigh-geometric distribution with applications |
title_full | On the Rayleigh-geometric distribution with applications |
title_fullStr | On the Rayleigh-geometric distribution with applications |
title_full_unstemmed | On the Rayleigh-geometric distribution with applications |
title_short | On the Rayleigh-geometric distribution with applications |
title_sort | on the rayleigh-geometric distribution with applications |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6695284/ https://www.ncbi.nlm.nih.gov/pubmed/31428712 http://dx.doi.org/10.1016/j.heliyon.2019.e02200 |
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