Author(s):
1. Wahid A. M. Shehata:
Department of Mathematics, Statistics and Insurance, Faculty of Business, Ain Shams University, Egypt
2. Haitham M. Yousof:
Department of Mathematics, Statistics and Insurance, Faculty of Business, Ain Shams University, Egypt
Abstract:
A new four-parameter lifetime model is introduced and studied. The new model derives its flexibility and wide applicability from the well-known exponentiated Weibull model. Many bivariate and the multivariate type versions are derived using the Morgenstern family and Clayton copula. The new density can exhibit many important shapes with different skewness and kurtosis which can be unimodal and bimodal. The new hazard rate can be decreasing, J-shape, U-shape, constant, increasing, upside down and increasing-constant hazard rates. Various of its structural mathematical properties are derived. Graphical simulations are used in assessing the performance of the estimation method. We proved empirically the importance and flexibility of the new model in modeling various types of data such as failure times, remission times, survival times and strengths data.
Page(s):
649-667
Published:
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 17, Issue: 3, Year: 2021
Keywords:
maximum likelihood estimation
,
Simulation
,
quantile function
,
Order Statistics
,
Generating Function
,
MarshallOlkin family
,
Lehmann Weibull Distribution
,
Moments
References:
References are not available for this document.
Citations
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