Statistical Inference for the Parameter of Rayleigh Distribution Based on Progressively Type-I Interval Censored Sample

Statistical Inference for the Parameter of Rayleigh Distribution Based on Progressively Type-I Interval Censored Sample

Year:    2015

Author:    M. S. Abdalroof, Zhiwen Zhao, Dehui Wang

Communications in Mathematical Research , Vol. 31 (2015), Iss. 2 : pp. 108–118

Abstract

In this paper, the estimation of parameters based on a progressively type-I interval censored sample from a Rayleigh distribution is studied. Different methods of estimation are discussed. They include mid-point approximation estimator, the maximum likelihood estimator, moment estimator, Bayes estimator, sampling adjustment moment estimator, sampling adjustment maximum likelihood estimator and estimator based on percentile. The estimation procedures are discussed in details and compared via Monte Carlo simulations in terms of their biases.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2015.02.02

Communications in Mathematical Research , Vol. 31 (2015), Iss. 2 : pp. 108–118

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    EM algorithm maximum likelihood estimation moment method Bayes estimation Rayleigh distribution

Author Details

M. S. Abdalroof

Zhiwen Zhao

Dehui Wang