A new version of univariate Rayleigh distribution: properties, estimation and it’s application

Harsh Tripathi and Varun Agiwal ()
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Harsh Tripathi: Symbiosis International (Deemed University)
Varun Agiwal: Indian Institute of Public Health

International Journal of System Assurance Engineering and Management, 2024, vol. 15, issue 11, No 19, 5367-5377

Abstract: Abstract In this paper, we developed a new version of Rayleigh distribution and named as DUS-Rayleigh distribution (DUS-RD). We derived the important statistical properties, viz., moments, generating functions, conditional moment, order statistics, mean deviation, reliability curves, entropy along with their proofs. Estimation of parameter are done by using classical methods: maximum likelihood estimation (MLE), least sqaure estimation (LSE), weighted least sqaure estimation (WLSE), maximum product spacing estimation (MPSE), Cramer–Von Mises estimation (CME) and square error loss function (SELF) is used for the Bayesian estimation of parameter. We performed Monte Carlo simulation technique to study the performances of considered methods of estimation in terms of their mean squared errors. Finally illustration of application of proposed model in real life is taken the place in this study.

Keywords: Bayesian estimation; Classical etimation; Exponential distribution; Ralyeigh distribution (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13198-024-02543-0

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