UMVU estimation of the reliability function of the generalized life distributions

被引：17

作者：

Chaturvedi, A ^{[1
]}

Tomer, SK

机构：

[1] Univ Delhi, Dept Stat, Delhi 110007, India

[2] CCS Univ, Dept Microbiol, Meerut 250005, Uttar Pradesh, India

来源：

STATISTICAL PAPERS | 2003年 / 44卷 / 03期

关键词：

generalized life distributions; hazard-rate; reliability function; stress-strength model;

D O I：

10.1007/s00362-003-0157-8

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：

The problems of estimating the reliability function and P = P-r{X > Y} are considered for the generalized life distributions. Uniformly minimum variance unbiased estimators (UMVUES) of the powers of the parameter involved in the probabilistic model and the probability density function (pdf) at a specified point are derived. The UMVUE of the pdf is utilized to obtain the UMVUE of the reliability function and Y. Our method of obtaining these estimators is quite simple than the traditional approaches. A theoretical method of studying the behaviour of the hazard-rate is provided.

引用

页码：301 / 313

页数：13

共 50 条

[1] UMVU estimation of the reliability function of the generalized life distributions
Ajit Chaturvedi
Sanjeev K. Tomer
[J]. Statistical Papers, 2003, 44 : 301 - 313
[2] UMVU estimation for certain family of exponential distributions.
LopezBlazquez, F
BarrancoChamorro, I
MorenoRebollo, JL
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1997, 26 (02) : 469 - 482
[3] BAYESIAN-ESTIMATION OF THE PARAMETERS AND RELIABILITY FUNCTION OF A MIXTURE OF WEIBULL LIFE DISTRIBUTIONS
SINHA, SK
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1987, 16 (03) : 377 - 387
[4] BAYES ESTIMATION OF RELIABILITY FOR MIXTURES OF LIFE DISTRIBUTIONS
PADGETT, WJ
TSOKOS, CP
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1978, 34 (04) : 692 - 703
[5] Sequential point estimation procedures for the generalized life distributions
Chaturvedi, A
Chattopadhyay, S
[J]. AMERICAN JOURNAL OF MATHEMATICAL AND MANAGEMENT SCIENCES, 2001, 2001, 21 (3-4): : 243 - 261
[6] SEQUENTIAL POINT ESTIMATION PROCEDURES FOR THE GENERALIZED LIFE DISTRIBUTIONS
Tiwari, Neeraj
Kumar, Sanjay
[J]. JOURNAL OF RELIABILITY AND STATISTICAL STUDIES, 2008, 1 (01): : 48 - 53
[7] UMVU estimation of the ratio of powers of normal generalized variances under correlation
Iliopoulos, George
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 2008, 99 (06) : 1051 - 1069
[8] ESTIMATION OF PARAMETERS AND RELIABILITY FROM GENERALIZED LIFE MODELS
DEY, DK
LIU, PSL
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1990, 19 (03) : 1073 - 1099
[9] ON UMVU ESTIMATION FOLLOWING SELECTION
VELLAISAMY, P
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1993, 22 (04) : 1031 - 1043
[10] SOME GENERALIZED VARIABILITY ORDERINGS AMONG LIFE DISTRIBUTIONS WITH RELIABILITY APPLICATIONS
BHATTACHARJEE, MC
[J]. JOURNAL OF APPLIED PROBABILITY, 1991, 28 (02) : 374 - 383

← 1 2 3 4 5 →