Statistical inference for the Rayleigh model based on progressively type-II censored data

被引:28
作者
Mousa, MAMA [1 ]
Al-Sagheer, SA [1 ]
机构
[1] Univ Assiut, Dept Math, Assiut, Egypt
关键词
Rayleigh distribution; progressively type-II censoring; Bayesian estimation; uniform distribution; Monte Carlo simulation;
D O I
10.1080/02331880500520714
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Maximum likelihood and Bayes estimates for one and two parameters and the reliability function of the Rayleigh distribution are obtained on the basis of progressively type-II censored samples. The inverted gamma conjugate prior density is assumed for the one-parameter case, whereas the joint prior density of the two-parameter case is composed of the inverted gamma and the uniform densities. A comparison between the obtained estimators is made through a Monte Carlo simulation study.
引用
收藏
页码:149 / 157
页数:9
相关论文
共 19 条
[1]   Some properties of progressive censored order statistics from arbitrary and uniform distributions with applications to inference and simulation [J].
Aggarwala, R ;
Balakrishnan, N .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1998, 70 (01) :35-49
[2]  
Aggarwala R, 1996, THESIS MCMASTER U
[3]   A SIMPLE SIMULATIONAL ALGORITHM FOR GENERATING PROGRESSIVE TYPE-II CENSORED SAMPLES [J].
BALAKRISHNAN, N ;
SANDHU, RA .
AMERICAN STATISTICIAN, 1995, 49 (02) :229-230
[4]  
Balakrishnan N., 2000, Progressive Censoring: Theory, Methods, and Applications
[5]  
Dyer D. D., 1973, IEEE T RELIABIL, VR-22, P455
[6]   BEST LINEAR UNBIASED ESTIMATOR OF PARAMETER OF RAYLEIGH DISTRIBUTION .1. SMALL SAMPLE THEORY FOR CENSORED ORDER STATISTICS [J].
DYER, DD ;
WHISENAND, CW .
IEEE TRANSACTIONS ON RELIABILITY, 1973, R 22 (01) :27-34
[7]   Bayesian inference from type II doubly censored Rayleigh data [J].
Fernández, AJ .
STATISTICS & PROBABILITY LETTERS, 2000, 48 (04) :393-399
[8]  
HOWLADER HA, 1995, COMMUN STAT THEORY, V24, P2249
[9]   RELATIONSHIPS BETWEEN BIASED AND UNBIASED RAYLEIGH DISTRIBUTIONS [J].
MILLER, KS ;
SACKROWI.H .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1967, 15 (06) :1490-&
[10]   PROGRESSIVELY-CENSORED AGING TESTS ON XLPE-INSULATED CABLE MODELS [J].
MONTANARI, GC ;
CACCIARI, M .
IEEE TRANSACTIONS ON ELECTRICAL INSULATION, 1988, 23 (03) :365-372