A New Class of Generalized Burr III Distribution for Lifetime Data

Olobatuyi Kehinde; Asiribo Osebi; Dawodu Ganiyu

doi:doi:10.11648/j.ijsd.20180401.12

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A New Class of Generalized Burr III Distribution for Lifetime Data

Olobatuyi Kehinde, Asiribo Osebi, Dawodu Ganiyu

Published in International Journal of Statistical Distributions and Applications (Volume 4, Issue 1)

Received: 4 January 2018 Accepted: 24 February 2018 Published: 28 March 2018

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Abstract

For the first time, the Generalized Gamma Burr III (GGBIII) is introduced as an important model for problems in several areas such as actuarial sciences, meteorology, economics, finance, environmental studies, reliability, and censored data in survival analysis. A review of some existing gamma families have been presented. It was found that the distributions cannot exhibit complicated shapes such as unimodal and modified unimodal shapes which are very common in medical field. The Generalized Gamma Burr III (GGBIII) distribution which includes the family of Zografos and Balakrishnan as special cases is proposed and studied. It is expressed as the linear combination of Burr III distribution and it has a tractable properties. Some mathematical properties of the new distribution including hazard, survival, reverse hazard rate function, moments, moments generating function, mean and median deviations, distribution of the order statistics are presented. Maximum likelihood estimation technique is used to estimate the model parameters and applications to real datasets in order to illustrate the usefulness of the model are presented. Examples and applications as well as comparisons of the GGBIII to the existing Gamma-G families are given.

Published in	International Journal of Statistical Distributions and Applications (Volume 4, Issue 1)
DOI	10.11648/j.ijsd.20180401.12
Page(s)	6-21
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.
Copyright	Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

Burr III Distribution, Generalized-Gamma Distribution, Censored Data, Maximum Likelihood Estimation

References

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APA Style

Olobatuyi Kehinde, Asiribo Osebi, Dawodu Ganiyu. (2018). A New Class of Generalized Burr III Distribution for Lifetime Data. International Journal of Statistical Distributions and Applications, 4(1), 6-21. https://doi.org/10.11648/j.ijsd.20180401.12

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ACS Style

Olobatuyi Kehinde; Asiribo Osebi; Dawodu Ganiyu. A New Class of Generalized Burr III Distribution for Lifetime Data. Int. J. Stat. Distrib. Appl. 2018, 4(1), 6-21. doi: 10.11648/j.ijsd.20180401.12

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AMA Style

Olobatuyi Kehinde, Asiribo Osebi, Dawodu Ganiyu. A New Class of Generalized Burr III Distribution for Lifetime Data. Int J Stat Distrib Appl. 2018;4(1):6-21. doi: 10.11648/j.ijsd.20180401.12

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@article{10.11648/j.ijsd.20180401.12,
  author = {Olobatuyi Kehinde and Asiribo Osebi and Dawodu Ganiyu},
  title = {A New Class of Generalized Burr III Distribution for Lifetime Data},
  journal = {International Journal of Statistical Distributions and Applications},
  volume = {4},
  number = {1},
  pages = {6-21},
  doi = {10.11648/j.ijsd.20180401.12},
  url = {https://doi.org/10.11648/j.ijsd.20180401.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijsd.20180401.12},
  abstract = {For the first time, the Generalized Gamma Burr III (GGBIII) is introduced as an important model for problems in several areas such as actuarial sciences, meteorology, economics, finance, environmental studies, reliability, and censored data in survival analysis. A review of some existing gamma families have been presented. It was found that the distributions cannot exhibit complicated shapes such as unimodal and modified unimodal shapes which are very common in medical field. The Generalized Gamma Burr III (GGBIII) distribution which includes the family of Zografos and Balakrishnan as special cases is proposed and studied. It is expressed as the linear combination of Burr III distribution and it has a tractable properties. Some mathematical properties of the new distribution including hazard, survival, reverse hazard rate function, moments, moments generating function, mean and median deviations, distribution of the order statistics are presented. Maximum likelihood estimation technique is used to estimate the model parameters and applications to real datasets in order to illustrate the usefulness of the model are presented. Examples and applications as well as comparisons of the GGBIII to the existing Gamma-G families are given.},
 year = {2018}
}

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TY  - JOUR
T1  - A New Class of Generalized Burr III Distribution for Lifetime Data
AU  - Olobatuyi Kehinde
AU  - Asiribo Osebi
AU  - Dawodu Ganiyu
Y1  - 2018/03/28
PY  - 2018
N1  - https://doi.org/10.11648/j.ijsd.20180401.12
DO  - 10.11648/j.ijsd.20180401.12
T2  - International Journal of Statistical Distributions and Applications
JF  - International Journal of Statistical Distributions and Applications
JO  - International Journal of Statistical Distributions and Applications
SP  - 6
EP  - 21
PB  - Science Publishing Group
SN  - 2472-3509
UR  - https://doi.org/10.11648/j.ijsd.20180401.12
AB  - For the first time, the Generalized Gamma Burr III (GGBIII) is introduced as an important model for problems in several areas such as actuarial sciences, meteorology, economics, finance, environmental studies, reliability, and censored data in survival analysis. A review of some existing gamma families have been presented. It was found that the distributions cannot exhibit complicated shapes such as unimodal and modified unimodal shapes which are very common in medical field. The Generalized Gamma Burr III (GGBIII) distribution which includes the family of Zografos and Balakrishnan as special cases is proposed and studied. It is expressed as the linear combination of Burr III distribution and it has a tractable properties. Some mathematical properties of the new distribution including hazard, survival, reverse hazard rate function, moments, moments generating function, mean and median deviations, distribution of the order statistics are presented. Maximum likelihood estimation technique is used to estimate the model parameters and applications to real datasets in order to illustrate the usefulness of the model are presented. Examples and applications as well as comparisons of the GGBIII to the existing Gamma-G families are given.
VL  - 4
IS  - 1
ER  -

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Author Information

Olobatuyi Kehinde

Department of Statistics, Federal University of Agriculture, Abeokuta, Nigeria
Asiribo Osebi

Department of Statistics, Federal University of Agriculture, Abeokuta, Nigeria
Dawodu Ganiyu

Department of Statistics, Federal University of Agriculture, Abeokuta, Nigeria

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Plain Text BibTeX RIS

APA Style

Olobatuyi Kehinde, Asiribo Osebi, Dawodu Ganiyu. (2018). A New Class of Generalized Burr III Distribution for Lifetime Data. International Journal of Statistical Distributions and Applications, 4(1), 6-21. https://doi.org/10.11648/j.ijsd.20180401.12

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ACS Style

Olobatuyi Kehinde; Asiribo Osebi; Dawodu Ganiyu. A New Class of Generalized Burr III Distribution for Lifetime Data. Int. J. Stat. Distrib. Appl. 2018, 4(1), 6-21. doi: 10.11648/j.ijsd.20180401.12

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AMA Style

Olobatuyi Kehinde, Asiribo Osebi, Dawodu Ganiyu. A New Class of Generalized Burr III Distribution for Lifetime Data. Int J Stat Distrib Appl. 2018;4(1):6-21. doi: 10.11648/j.ijsd.20180401.12

Copy | Download

@article{10.11648/j.ijsd.20180401.12,
  author = {Olobatuyi Kehinde and Asiribo Osebi and Dawodu Ganiyu},
  title = {A New Class of Generalized Burr III Distribution for Lifetime Data},
  journal = {International Journal of Statistical Distributions and Applications},
  volume = {4},
  number = {1},
  pages = {6-21},
  doi = {10.11648/j.ijsd.20180401.12},
  url = {https://doi.org/10.11648/j.ijsd.20180401.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijsd.20180401.12},
  abstract = {For the first time, the Generalized Gamma Burr III (GGBIII) is introduced as an important model for problems in several areas such as actuarial sciences, meteorology, economics, finance, environmental studies, reliability, and censored data in survival analysis. A review of some existing gamma families have been presented. It was found that the distributions cannot exhibit complicated shapes such as unimodal and modified unimodal shapes which are very common in medical field. The Generalized Gamma Burr III (GGBIII) distribution which includes the family of Zografos and Balakrishnan as special cases is proposed and studied. It is expressed as the linear combination of Burr III distribution and it has a tractable properties. Some mathematical properties of the new distribution including hazard, survival, reverse hazard rate function, moments, moments generating function, mean and median deviations, distribution of the order statistics are presented. Maximum likelihood estimation technique is used to estimate the model parameters and applications to real datasets in order to illustrate the usefulness of the model are presented. Examples and applications as well as comparisons of the GGBIII to the existing Gamma-G families are given.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - A New Class of Generalized Burr III Distribution for Lifetime Data
AU  - Olobatuyi Kehinde
AU  - Asiribo Osebi
AU  - Dawodu Ganiyu
Y1  - 2018/03/28
PY  - 2018
N1  - https://doi.org/10.11648/j.ijsd.20180401.12
DO  - 10.11648/j.ijsd.20180401.12
T2  - International Journal of Statistical Distributions and Applications
JF  - International Journal of Statistical Distributions and Applications
JO  - International Journal of Statistical Distributions and Applications
SP  - 6
EP  - 21
PB  - Science Publishing Group
SN  - 2472-3509
UR  - https://doi.org/10.11648/j.ijsd.20180401.12
AB  - For the first time, the Generalized Gamma Burr III (GGBIII) is introduced as an important model for problems in several areas such as actuarial sciences, meteorology, economics, finance, environmental studies, reliability, and censored data in survival analysis. A review of some existing gamma families have been presented. It was found that the distributions cannot exhibit complicated shapes such as unimodal and modified unimodal shapes which are very common in medical field. The Generalized Gamma Burr III (GGBIII) distribution which includes the family of Zografos and Balakrishnan as special cases is proposed and studied. It is expressed as the linear combination of Burr III distribution and it has a tractable properties. Some mathematical properties of the new distribution including hazard, survival, reverse hazard rate function, moments, moments generating function, mean and median deviations, distribution of the order statistics are presented. Maximum likelihood estimation technique is used to estimate the model parameters and applications to real datasets in order to illustrate the usefulness of the model are presented. Examples and applications as well as comparisons of the GGBIII to the existing Gamma-G families are given.
VL  - 4
IS  - 1
ER  -

Copy | Download