On the Flexibility of Topp Leone Exponentiated Inverse Exponential Distribution

Sule Ibrahim; Sani Ibrahim Doguwa; Audu Isah; Haruna Muhammad Jibril

doi:doi:10.11648/j.ijdsa.20200603.12

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On the Flexibility of Topp Leone Exponentiated Inverse Exponential Distribution

Sule Ibrahim, Sani Ibrahim Doguwa, Audu Isah, Haruna Muhammad Jibril

Published in International Journal of Data Science and Analysis (Volume 6, Issue 3)

Received: 1 May 2020 Accepted: 10 June 2020 Published: 17 July 2020

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Abstract

In this paper, we introduced a new continuous probability distribution called the Topp Leone exponentiated inverse exponential distribution with three parameters. We studied the nature of proposed distribution with the help of its mathematical and statistical properties such as quantile function, ordinary moments, moment generating function, survival function and hazard function. The probability density function of order statistic for this distribution was also obtained. We performed classical estimation of parameters by using the technique of maximum likelihood estimate. The proposed model was applied to two real-life datasets. The first data set has to do with patients with cancer of tongue with aneuploidy DNA profile and the second data set has to do with patients who were diagnosed with hypertension and received at least one treatment related to hypertension. The results showed that the new distribution provided better fit than other distributions presented. As such, it can be categorically said that the Topp Leone exponentiated inverse exponential distribution is good distribution in modeling survival data.

Published in	International Journal of Data Science and Analysis (Volume 6, Issue 3) This article belongs to the Special Issue Data Science
DOI	10.11648/j.ijdsa.20200603.12
Page(s)	83-89
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), 2020. Published by Science Publishing Group

Keywords

Distribution, Inverse Exponential, Ordinary Moment, Parameter, Quantile Function

References

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[3]	R. C. Gupta and D. Kundu, 2001, Exponentiated exponential family; an alternative to gamma and Weibull, Biometrical Journal, 43, 117-130.
[4]	A. S. Hassan and M. Abd-Allah, 2018, Exponentiated Weibull-Lomax Distribution: Properties and Estimation. Journal of Data Science, 277-298.
[5]	R. Jan, T. R. Jan and P. B. Ahmad, 2018, Exponentiated Inverse Power Lindley Distribution and its Applications. arXivpreprintarXiv: 1808.07410.
[6]	A. S. Hassan and M. A. Abdelghafar, 2017, Exponentiated Lomax geometric distribution: Properties and applications. Pakistan Journal of Statistics and Operation Research, 13, 3, 545-566.
[7]	A. H. El-Bassiouny, M. El-Damcese, A. Mustafa and M. S. Eliwa, 2017, Exponentiated generalized Weibull-Gompertz distribution with application in survival analysis. Journal of Statistical Application and Probability, 6, 7-16.
[8]	A. Z. Keller and A. R. Kamath, 1982, Reliability analysis of CNC Machine Tools. Reliability Engineering, 3, 449-473.
[9]	P. E. Oguntunde and A. O. Adejumo, 2015, The transmuted inverse exponential distribution. International Journal of Advanced Statistics and Probability, 3, 1, 1-7. doi: 10.14419/ijasp.v3i1.3684.
[10]	P. E. Oguntunde, A. O. Adejumo and E. A Owoloko, 2017, Application of Kumaraswamy inverse exponential distribution to real-life time data. International Journal of Applied Mathematics and Statistics, 56, 5, 34-47.
[11]	P. E. Oguntunde, A. O. Adejumo and E. A. Owoloko, 2017, July 5-7, On the flexibility of the transmuted inverse exponential distribution. Lecture Notes on engineering and computer science: Proceeding of the World Congresson Engineering (123-126). London, UK.
[12]	S. Ibrahim, S. I. Doguwa, I. Audu and H. M. Jibril, 2020, On the Topp Leone exponentiated-G Family of Distributions: Properties and Applications. Asian Journal of Probability and Statistics, 7, 1, 1-15.
[13]	J. P. Klein and M. L. Moeschberger, 2003, Survival analysis: technique for censored and truncated data (2^nd Edition), Springer, New York, USA, 535 Pages, ISBN978–0-387-21645-4.
[14]	E. Umeh and A. Ibenegbu, 2019, A Two-Parameter Pranav Distribution with Properties and Its Application; Journal of Biostatistics and Epidemiology, 5, 1, 74–90.

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APA Style

Sule Ibrahim, Sani Ibrahim Doguwa, Audu Isah, Haruna Muhammad Jibril. (2020). On the Flexibility of Topp Leone Exponentiated Inverse Exponential Distribution. International Journal of Data Science and Analysis, 6(3), 83-89. https://doi.org/10.11648/j.ijdsa.20200603.12

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ACS Style

Sule Ibrahim; Sani Ibrahim Doguwa; Audu Isah; Haruna Muhammad Jibril. On the Flexibility of Topp Leone Exponentiated Inverse Exponential Distribution. Int. J. Data Sci. Anal. 2020, 6(3), 83-89. doi: 10.11648/j.ijdsa.20200603.12

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AMA Style

Sule Ibrahim, Sani Ibrahim Doguwa, Audu Isah, Haruna Muhammad Jibril. On the Flexibility of Topp Leone Exponentiated Inverse Exponential Distribution. Int J Data Sci Anal. 2020;6(3):83-89. doi: 10.11648/j.ijdsa.20200603.12

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@article{10.11648/j.ijdsa.20200603.12,
  author = {Sule Ibrahim and Sani Ibrahim Doguwa and Audu Isah and Haruna Muhammad Jibril},
  title = {On the Flexibility of Topp Leone Exponentiated Inverse Exponential Distribution},
  journal = {International Journal of Data Science and Analysis},
  volume = {6},
  number = {3},
  pages = {83-89},
  doi = {10.11648/j.ijdsa.20200603.12},
  url = {https://doi.org/10.11648/j.ijdsa.20200603.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijdsa.20200603.12},
  abstract = {In this paper, we introduced a new continuous probability distribution called the Topp Leone exponentiated inverse exponential distribution with three parameters. We studied the nature of proposed distribution with the help of its mathematical and statistical properties such as quantile function, ordinary moments, moment generating function, survival function and hazard function. The probability density function of order statistic for this distribution was also obtained. We performed classical estimation of parameters by using the technique of maximum likelihood estimate. The proposed model was applied to two real-life datasets. The first data set has to do with patients with cancer of tongue with aneuploidy DNA profile and the second data set has to do with patients who were diagnosed with hypertension and received at least one treatment related to hypertension. The results showed that the new distribution provided better fit than other distributions presented. As such, it can be categorically said that the Topp Leone exponentiated inverse exponential distribution is good distribution in modeling survival data.},
 year = {2020}
}

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TY  - JOUR
T1  - On the Flexibility of Topp Leone Exponentiated Inverse Exponential Distribution
AU  - Sule Ibrahim
AU  - Sani Ibrahim Doguwa
AU  - Audu Isah
AU  - Haruna Muhammad Jibril
Y1  - 2020/07/17
PY  - 2020
N1  - https://doi.org/10.11648/j.ijdsa.20200603.12
DO  - 10.11648/j.ijdsa.20200603.12
T2  - International Journal of Data Science and Analysis
JF  - International Journal of Data Science and Analysis
JO  - International Journal of Data Science and Analysis
SP  - 83
EP  - 89
PB  - Science Publishing Group
SN  - 2575-1891
UR  - https://doi.org/10.11648/j.ijdsa.20200603.12
AB  - In this paper, we introduced a new continuous probability distribution called the Topp Leone exponentiated inverse exponential distribution with three parameters. We studied the nature of proposed distribution with the help of its mathematical and statistical properties such as quantile function, ordinary moments, moment generating function, survival function and hazard function. The probability density function of order statistic for this distribution was also obtained. We performed classical estimation of parameters by using the technique of maximum likelihood estimate. The proposed model was applied to two real-life datasets. The first data set has to do with patients with cancer of tongue with aneuploidy DNA profile and the second data set has to do with patients who were diagnosed with hypertension and received at least one treatment related to hypertension. The results showed that the new distribution provided better fit than other distributions presented. As such, it can be categorically said that the Topp Leone exponentiated inverse exponential distribution is good distribution in modeling survival data.
VL  - 6
IS  - 3
ER  -

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Author Information

Sule Ibrahim

Department of Statistics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria
Sani Ibrahim Doguwa

Department of Statistics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria
Audu Isah

Department of Statistics, School of Physical Sciences, Federal University of Technology, Minna, Nigeria
Haruna Muhammad Jibril

Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria

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Plain Text BibTeX RIS

APA Style

Sule Ibrahim, Sani Ibrahim Doguwa, Audu Isah, Haruna Muhammad Jibril. (2020). On the Flexibility of Topp Leone Exponentiated Inverse Exponential Distribution. International Journal of Data Science and Analysis, 6(3), 83-89. https://doi.org/10.11648/j.ijdsa.20200603.12

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ACS Style

Sule Ibrahim; Sani Ibrahim Doguwa; Audu Isah; Haruna Muhammad Jibril. On the Flexibility of Topp Leone Exponentiated Inverse Exponential Distribution. Int. J. Data Sci. Anal. 2020, 6(3), 83-89. doi: 10.11648/j.ijdsa.20200603.12

Copy | Download

AMA Style

Sule Ibrahim, Sani Ibrahim Doguwa, Audu Isah, Haruna Muhammad Jibril. On the Flexibility of Topp Leone Exponentiated Inverse Exponential Distribution. Int J Data Sci Anal. 2020;6(3):83-89. doi: 10.11648/j.ijdsa.20200603.12

Copy | Download

@article{10.11648/j.ijdsa.20200603.12,
  author = {Sule Ibrahim and Sani Ibrahim Doguwa and Audu Isah and Haruna Muhammad Jibril},
  title = {On the Flexibility of Topp Leone Exponentiated Inverse Exponential Distribution},
  journal = {International Journal of Data Science and Analysis},
  volume = {6},
  number = {3},
  pages = {83-89},
  doi = {10.11648/j.ijdsa.20200603.12},
  url = {https://doi.org/10.11648/j.ijdsa.20200603.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijdsa.20200603.12},
  abstract = {In this paper, we introduced a new continuous probability distribution called the Topp Leone exponentiated inverse exponential distribution with three parameters. We studied the nature of proposed distribution with the help of its mathematical and statistical properties such as quantile function, ordinary moments, moment generating function, survival function and hazard function. The probability density function of order statistic for this distribution was also obtained. We performed classical estimation of parameters by using the technique of maximum likelihood estimate. The proposed model was applied to two real-life datasets. The first data set has to do with patients with cancer of tongue with aneuploidy DNA profile and the second data set has to do with patients who were diagnosed with hypertension and received at least one treatment related to hypertension. The results showed that the new distribution provided better fit than other distributions presented. As such, it can be categorically said that the Topp Leone exponentiated inverse exponential distribution is good distribution in modeling survival data.},
 year = {2020}
}

Copy | Download

TY  - JOUR
T1  - On the Flexibility of Topp Leone Exponentiated Inverse Exponential Distribution
AU  - Sule Ibrahim
AU  - Sani Ibrahim Doguwa
AU  - Audu Isah
AU  - Haruna Muhammad Jibril
Y1  - 2020/07/17
PY  - 2020
N1  - https://doi.org/10.11648/j.ijdsa.20200603.12
DO  - 10.11648/j.ijdsa.20200603.12
T2  - International Journal of Data Science and Analysis
JF  - International Journal of Data Science and Analysis
JO  - International Journal of Data Science and Analysis
SP  - 83
EP  - 89
PB  - Science Publishing Group
SN  - 2575-1891
UR  - https://doi.org/10.11648/j.ijdsa.20200603.12
AB  - In this paper, we introduced a new continuous probability distribution called the Topp Leone exponentiated inverse exponential distribution with three parameters. We studied the nature of proposed distribution with the help of its mathematical and statistical properties such as quantile function, ordinary moments, moment generating function, survival function and hazard function. The probability density function of order statistic for this distribution was also obtained. We performed classical estimation of parameters by using the technique of maximum likelihood estimate. The proposed model was applied to two real-life datasets. The first data set has to do with patients with cancer of tongue with aneuploidy DNA profile and the second data set has to do with patients who were diagnosed with hypertension and received at least one treatment related to hypertension. The results showed that the new distribution provided better fit than other distributions presented. As such, it can be categorically said that the Topp Leone exponentiated inverse exponential distribution is good distribution in modeling survival data.
VL  - 6
IS  - 3
ER  -

Copy | Download