Weibull-generalized inverted exponential {log-logistic} distribution : Features and practicalities

Ibeh, G. C.; Mbegbu, J. I.

doi:10.47974/JSMS-1029

Open Access Research Article

Weibull-generalized inverted exponential {log-logistic} distribution : Features and practicalities

^*G. C. IbehCorresponding authorgabmicchuks@yahoo.comDepartment of Mathematics/StatisticsFederal Polytechnic NekedeOwerri, Imo State, 60113, NigeriaView full profile → , J. I. MbegbuDepartment of StatisticsUniversity of BeninBenin-City, Edo State, 300283, NigeriaView full profile →

* Corresponding author · click or hover a name for details

pp. 1317–1333Vol. 27Issue 7October 2024DOI: 10.47974/JSMS-1029XML

Received:: 11 May 2022
Accepted:: 06 Dec 2022
Published Online:: 30 Nov 2024
Article type:: Research Article
Language:: EN
Article no.:: JSMS-1029
Pages:: 1317–1333

Abstract

Here, we have introduced a novel probability distribution called the Weibull-Generalized inverted exponential{Log-logistic} distribution (WGIELLD) adopting the Transformed-Transformer method. The density curves of the new distribution show that it can model data sets that are approximately normal, left and right skewed; while the hazard function graphs indicate that the distribution can model components with various shapes of failure rate. We have derived various statistical features of this distribution, such as the reliability function (rf), hazard function (hf), mode, quantile function (qf), median, Renyi entropy (Re), moment generating function (mgf), mean absolute deviations (MAD) from the mean and median, and order statistics. We have used maximum likelihood estimation (MLE) approach to estimate the parameters of this distribution and also run a simulation study to verify the suitability of the approach. Finally, two sets of data are employed to demonstrate the versatility of the distribution compared to the baseline distribution and other related distributions.

Keywords

T-R{Y} framework Weibull distribution Generalized inverse exponential distribution Log-logistic distribution Maximum likelihood estimate

Subject Classifications

60E0562F1062N0562P30

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