We developed a five parameter distribution known as the Generalized Exponentiated Gompertz Makeham distribution which is quite flexible and can have a decreasing, increasing and bathtub-shaped failure rate function depending on its parameters making it more effective in modeling survival data and reliability problems. Some comprehensive properties of the new distribution, such as closed-form expressions for the density function, cumulative distribution function, hazard rate function, moment generating function and order Statistics were provided as well as maximum likelihood estimation of the Generalized Exponentiated Gompertz Makeham distribution parameters and at the end, in order to show the distribution flexibility, an application using a real data set was presented.
| Published in | American Journal of Theoretical and Applied Statistics (Volume 6, Issue 5) |
| DOI | 10.11648/j.ajtas.20170605.12 |
| Page(s) | 228-235 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2017. Published by Science Publishing Group |
Generalized Exponentiated Gompertz Makeham Distribution, Maximum Likelihood Estimation, Bathtub-Shape Failure Rate, Distribution Flexibility
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APA Style
Ogunde Adebisi Ade, Fatoki Olayode, Ajayi Bamidele. (2017). Performance Rating of the Exponentiated Generalized Gompertz Makeham Distribution: An Analytical Approach. American Journal of Theoretical and Applied Statistics, 6(5), 228-235. https://doi.org/10.11648/j.ajtas.20170605.12
ACS Style
Ogunde Adebisi Ade; Fatoki Olayode; Ajayi Bamidele. Performance Rating of the Exponentiated Generalized Gompertz Makeham Distribution: An Analytical Approach. Am. J. Theor. Appl. Stat. 2017, 6(5), 228-235. doi: 10.11648/j.ajtas.20170605.12
AMA Style
Ogunde Adebisi Ade, Fatoki Olayode, Ajayi Bamidele. Performance Rating of the Exponentiated Generalized Gompertz Makeham Distribution: An Analytical Approach. Am J Theor Appl Stat. 2017;6(5):228-235. doi: 10.11648/j.ajtas.20170605.12
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Download@article{10.11648/j.ajtas.20170605.12,
author = {Ogunde Adebisi Ade and Fatoki Olayode and Ajayi Bamidele},
title = {Performance Rating of the Exponentiated Generalized Gompertz Makeham Distribution: An Analytical Approach},
journal = {American Journal of Theoretical and Applied Statistics},
volume = {6},
number = {5},
pages = {228-235},
doi = {10.11648/j.ajtas.20170605.12},
url = {https://doi.org/10.11648/j.ajtas.20170605.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20170605.12},
abstract = {We developed a five parameter distribution known as the Generalized Exponentiated Gompertz Makeham distribution which is quite flexible and can have a decreasing, increasing and bathtub-shaped failure rate function depending on its parameters making it more effective in modeling survival data and reliability problems. Some comprehensive properties of the new distribution, such as closed-form expressions for the density function, cumulative distribution function, hazard rate function, moment generating function and order Statistics were provided as well as maximum likelihood estimation of the Generalized Exponentiated Gompertz Makeham distribution parameters and at the end, in order to show the distribution flexibility, an application using a real data set was presented.},
year = {2017}
}
TY - JOUR T1 - Performance Rating of the Exponentiated Generalized Gompertz Makeham Distribution: An Analytical Approach AU - Ogunde Adebisi Ade AU - Fatoki Olayode AU - Ajayi Bamidele Y1 - 2017/09/04 PY - 2017 N1 - https://doi.org/10.11648/j.ajtas.20170605.12 DO - 10.11648/j.ajtas.20170605.12 T2 - American Journal of Theoretical and Applied Statistics JF - American Journal of Theoretical and Applied Statistics JO - American Journal of Theoretical and Applied Statistics SP - 228 EP - 235 PB - Science Publishing Group SN - 2326-9006 UR - https://doi.org/10.11648/j.ajtas.20170605.12 AB - We developed a five parameter distribution known as the Generalized Exponentiated Gompertz Makeham distribution which is quite flexible and can have a decreasing, increasing and bathtub-shaped failure rate function depending on its parameters making it more effective in modeling survival data and reliability problems. Some comprehensive properties of the new distribution, such as closed-form expressions for the density function, cumulative distribution function, hazard rate function, moment generating function and order Statistics were provided as well as maximum likelihood estimation of the Generalized Exponentiated Gompertz Makeham distribution parameters and at the end, in order to show the distribution flexibility, an application using a real data set was presented. VL - 6 IS - 5 ER -
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