%0 Journal Article
%T Gumbel-Exponentiated Weibull {Logistic} Lifetime Distribution and Its Applications
%A Kizito Ebere Anyiam
%A Iheanyi Sidney Onyeagu
%J Open Journal of Statistics
%P 817-837
%@ 2161-7198
%D 2021
%I Scientific Research Publishing
%R 10.4236/ojs.2021.115048
%X A new generalized exponentiated Weibull model called Gumbel-exponentiated </span><span style=\"font-family:Verdana;\">Weibull</span><span style=\"font-family:&quot;\"> </span><span style=\"font-family:Verdana;\">{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 </span><span style=\"font-family:Verdana;\">three</span><span style=\"font-family:Verdana;\"> real life datasets.
%K Gumbel Distribution
%K Exponentiated Weibull
%K Logistic Distribution
%K Bimodal Densities
%K Hazard Function
%K Maximum Likelihood
%K Order Statistics
%K Quantile Function
%K Shannon Entropy
%K Simulation
%K T-R (Y) Family
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=112482