TITLE:
Statistical Inference of Truncated Weibull-Rayleigh Distribution: Its Properties and Applications
AUTHORS:
Eman H. Khalifa, Dina A. Ramadan, B. S. El-Desouky
KEYWORDS:
Rayleigh Distribution, Truncated Weibull G-Family, Moments, Entropies, Quantile Function, Order Statistic, Maximum Likelihood Estimator
JOURNAL NAME:
Open Journal of Modelling and Simulation,
Vol.9 No.3,
July
20,
2021
ABSTRACT: 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, reversed hazard
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 airbcraft Windshield is given and its goodness-of-fit is demonstrated. In addition
to, comparisons to other models are implemented to show the flexibility of the
presented model.