Statistical Inference of Truncated Weibull-Rayleigh Distribution: Its Properties and Applications - Open Journal of Modelling and Simulation

OJMSi > Vol.9 No.3, July 2021

Open Journal of Modelling and Simulation

Volume 9, Issue 3 (July 2021)

ISSN Print: 2327-4018 ISSN Online: 2327-4026

Google-based Impact Factor: 2.79 Citations

Statistical Inference of Truncated Weibull-Rayleigh Distribution: Its Properties and Applications ()

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Download as PDF (Size: 1538KB) PP. 281-298

DOI: 10.4236/ojmsi.2021.93019 328 Downloads 1,388 Views Citations

Author(s)

Eman H. Khalifa, Dina A. Ramadan, B. S. El-Desouky

Affiliation(s)

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt.

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.

KEYWORDS

Rayleigh Distribution, Truncated Weibull G-Family, Moments, Entropies, Quantile Function, Order Statistic, Maximum Likelihood Estimator

Share and Cite:

Khalifa, E. , Ramadan, D. and El-Desouky, B. (2021) Statistical Inference of Truncated Weibull-Rayleigh Distribution: Its Properties and Applications. Open Journal of Modelling and Simulation, 9, 281-298. doi: 10.4236/ojmsi.2021.93019.

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