Application of the Exponentiated Log-Logistic Weibull Distribution to Censored Data
Keywords:Generalized Distribution, Exponentiated log-logistic Distribution, Weibull Distribution, Survival Analysis.
In a recent paper, a new model called the Exponentiated Log-Logistic Weibull (ELLoGW) distribution with applications to reliability, survival analysis and income data was proposed. In this study, we applied the recently developed ELLoGW model to a wide range of censored data. We found that the ELLoGW distribution is a very competitive model for describing censored observations in life-time reliability problems such as survival analysis. This work shows that in certain cases, the ELLoGW distribution performs better than other parametric model such as the Log-Logistic Weibull, Exponentiated Log-Logistic Exponential, Log-Logistic Exponential distributions and the non-nested Gamma-Dagum (GD).
B. O. Oluyede, G. Basele, S. Huang & B. Makubate, “A New Class of Generalized Log-Logistic Weibull Distribution: Theory, Properties and Applications”, Journal of Probability and Statistical Sciences, 14 (2016) 171.
D. Cox, “Regression Models and Life Tables (with Discussion)”, Journal of the Royal Statistical Society, Series B 34 (1972) 187. DOI: https://doi.org/10.1111/j.2517-6161.1972.tb00899.x
P. Mdlongwa, B. O. Oluyede, A. K. A. Amey, A. F. Fagbamigbe & B. Makubate, “Kumaraswamy Log-logistic Weibull Distribution: Model, Theory and Application to Lifetime and Survival Data”, Heliyon 5 (2019) 1. DOI: https://doi.org/10.1016/j.heliyon.2019.e01144
E. T. Lee & J. Wang, Statistical Methods for Survival Data Analysis, Wiley, New York, 1st Ed. (2003) 1. DOI: https://doi.org/10.1002/0471458546
B. O. Oluyede, B. Makubate, A. F. Fagbamigbe & P. Mdlongwa, “A New Burr XII-Weibull-Logarithmic Distribution for Survival and Lifetime Data Analysis: Model, Theory & Applications. Stats 1 (2018) 77. DOI: https://doi.org/10.3390/stats1010006
M. Pararai, G. Warahena-Liyanage & B. O. Oluyede, “A New Class of Generalized Power Lindley Distribution with Applications to Lifetime Data”, Theoretical Mathematics & Applications 5 (2015) 53.
J. P. Klein & M. L. Moeschberger Survival Analysis Techniques for Censored and Truncated Data, Springer-Verlag, New York, 2003. DOI: https://doi.org/10.1007/b97377
W. H. Alven Reliability Engineering by ARINC, Prentice-Hall, New Jersey, 1964.
R. S. Chikara & J. L. Folks, “The Inverse Gaussian Distribution as a Lifetime Model”, Technometrics 19 (1977) 461. DOI: https://doi.org/10.1080/00401706.1977.10489586
T. Dimitrakopoulou, K. Adamidis & S. Loukas, “A Lifetime Distribution with an Upside-Down Bathtub-Shaped Hazard Function”, IEEE Transactions on Reliability 56 (2007) 308. DOI: https://doi.org/10.1109/TR.2007.895304
B. O. Oluyede & S. Huang, “Estimation in the Exponentiated Kumaraswamy Dagum Distribution with Censored Samples”, Electronic Journal of Applied Statistical Analysis 8 (2016) 122.
T. S. Ferguson, A Course in Large Sample Theory, Chapman & Hall (1996). DOI: https://doi.org/10.1007/978-1-4899-4549-5
B. O. Oluyede, S. Huang & M. Pararai, “A New Class of Generalized Dagum Distribution with Applications to Income and Lifetime Data”, Journal of Statistical and Econometric Methods 3 (2014) 125.
How to Cite
Copyright (c) 2019 Journal of the Nigerian Society of Physical Sciences
This work is licensed under a Creative Commons Attribution 4.0 International License.
The Journal of the Nigerian Society of Physical Sciences (JNSPS) is published under the Creative Commons Attribution 4.0 (CC BY-NC) license. This license was developed to facilitate open access, namely, it allows articles to be freely downloaded and to be re-used and re-distributed without restriction, as long as the original work is correctly cited. More specifically, anyone may copy, distribute or reuse these articles, create extracts, abstracts, and other revised versions, adaptations or derivative works of or from an article, mine the article even for commercial purposes, as long as they credit the author(s).
Most read articles by the same author(s)
- Boikanyo Makubate, Marang Pearl Matsuokwane, Broderick O. Oluyede, Lesego Gabaitiri, Simbarashe Chamunorwa, The Type II Topp-Leone-G Power Series Distribution with Applications on Bladder Cancer , Journal of the Nigerian Society of Physical Sciences: Volume 4, Issue 3, August 2022
- L. Adamu, N. Hussaini, An Epidemic Model of Zoonotic Visceral Leishmaniasis with Time Delay , Journal of the Nigerian Society of Physical Sciences: Volume 1, Issue 1, February 2019
You may also start an advanced similarity search for this article.