Statistical Inference of Truncated Weibull-Rayleigh Distribution: Its Properties and Applications
Statistical Inference of Truncated Weibull-Rayleigh Distribution: Its Properties and Applications作者机构：Department of Mathematics Faculty of Science Mansoura University Mansoura Egypt
出 版 物：《Open Journal of Modelling and Simulation》 (建模与仿真（英文）)
年 卷 期：2021年第9卷第3期
页 面：281-298页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Rayleigh Distribution Truncated Weibull G-Family Moments Entropies Quantile Function Order Statistic Maximum Likelihood Estimator
摘 要：In this paper, we derived a new distribution named as truncated Weibull Rayleigh (TW-R) distribution. Its characterization and statistical properties are obtained, such as reliability function, hazard function, reversedhazard rate function, cumulative hazard rate function, quantile function, rth moment, incomplete moments, Rényi and q entropies and order statistic. Parameter estimation is implemented using method of maximum-likelihood estimation and Fisher information matrix is derived. Finally, application of the presented new distribution to a real data representing the failure times of 63 airbcraftWindshield is given and its goodness-of-fit is demonstrated. In addition to, comparisons to other models are implemented to show the flexibility of the presentedmodel.
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