JOURNAL ARTICLE

Adaptive Type-II Progressive Censoring Schemes based on Maximum Product Spacing with Application of Generalized Rayleigh Distribution

Abstract

In this paper, parameters estimation for the generalized Rayleigh (GR) distribution are discussed under the adaptive type-II progressive censoring schemes based on maximum product spacing.A comparison studies with another methods as maximum likelihood, and Bayesian estimation by use Markov chain Monte Carlo (MCMC) are discussed.Also, reliability estimation and hazard function are obtained.A numerical study using real data and Monte Carlo Simulation are performed to compare between different methods.

Keywords:
Censoring (clinical trials) Markov chain Monte Carlo Monte Carlo method Rayleigh distribution Estimation theory Bayesian probability Markov chain Maximum likelihood Cumulative distribution function Bayes estimator

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Topics

Statistical Distribution Estimation and Applications
Physical Sciences →  Mathematics →  Statistics and Probability
Reliability and Maintenance Optimization
Physical Sciences →  Engineering →  Safety, Risk, Reliability and Quality
Statistical Methods and Bayesian Inference
Physical Sciences →  Mathematics →  Statistics and Probability
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