Gumbel-Exponentiated Weibull {Logistic} Lifetime Distribution and Its Applications - Open Journal of Statistics

OJS > Vol.11 No.5, October 2021

Open Journal of Statistics

Volume 11, Issue 5 (October 2021)

ISSN Print: 2161-718X ISSN Online: 2161-7198

Google-based Impact Factor: 0.53 Citations

Gumbel-Exponentiated Weibull {Logistic} Lifetime Distribution and Its Applications ()

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DOI: 10.4236/ojs.2021.115048 208 Downloads 1,167 Views Citations

Author(s)

Kizito Ebere Anyiam^1*, Iheanyi Sidney Onyeagu²

Affiliation(s)

¹Department of Statistics, School of Physical Sciences, Federal University of Technology, Owerri, Nigeria.
²Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria.

ABSTRACT

A new generalized exponentiated Weibull model called Gumbel-exponentiated Weibull {Logistic} distribution is introduced and studied. The new distribution extends the exponentiated Weibull distribution with additional parameters and bimodal densities. Some new and earlier distributions formed the sub-models of the proposed distribution. The mathematical properties of the new distribution including expressions for the hazard function, survival function, moments, order statistics, mean deviation and absolute mean deviation from the mean, and entropy were derived. Monte Carlo simulation study was carried out to assess the finite sample behavior of the parameter estimates by maximum likelihood estimation approach. The superiority of the new generalized exponentiated Weibull distribution over some competing distributions was proved empirically using the fitted results from three real life datasets.

KEYWORDS

Gumbel Distribution, Exponentiated Weibull, Logistic Distribution, Bimodal Densities, Hazard Function, Maximum Likelihood, Order Statistics, Quantile Function, Shannon Entropy, Simulation, T-R (Y) Family

Share and Cite:

Anyiam, K. and Onyeagu, I. (2021) Gumbel-Exponentiated Weibull {Logistic} Lifetime Distribution and Its Applications. Open Journal of Statistics, 11, 817-837. doi: 10.4236/ojs.2021.115048.

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