Some testimators for the scale parameter and reliability function of Weibull lifetime data

被引：6

作者：

Al-Hemyari, Z. A. ^{[1
]}

机构：

[1] Univ Nizwa, Nizwa 616, Al Dakhalyia, Oman

来源：

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART O-JOURNAL OF RISK AND RELIABILITY | 2010年 / 224卷 / O3期

关键词：

scale parameter; reliability function; censored data; Weibull failure model; testimators; relative efficiency; SHAPE-PARAMETER; SHRUNKEN ESTIMATORS;

D O I：

10.1243/1748006XJRR299

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The Weibull failure model is considered in this paper. Some testimators are proposed of the scale parameter (beta) and of the reliability function (R(t)) using life-testing data when a prior value about the unknown parameter (beta) is available. The expressions for the bias, mean squared error and relative efficiency are obtained and compared with existing estimators.

引用

页码：197 / 205

页数：9

共 27 条

[1] Al-Hemyari Z. A., 2009, INVESTIGACION OPERAC, V30, P109
[2] ALHEMYARI ZA, 2009, IAENG INT J IN PRESS
[3] Bain L. J., 1991, STAT ANAL RELIABILIT
[4] Berrettoni J.N., 1964, Industrial Quality Control, V21, P71
[5] NUMERICAL PREDICTION FOR THE 2-PARAMETER WEIBULL DISTRIBUTION
DELLAPORTAS, P
WRIGHT, DE
[J]. STATISTICIAN, 1991, 40 (04): : 365 - 372
[6] GNEDENKO BV, 1968, MATH METHODS RELIABI
[7] USE OF THE POPULATION-DISTRIBUTION TO IMPROVE ESTIMATION OF INDIVIDUAL MEANS IN EPIDEMIOLOGICAL-STUDIES
HARRIS, EK
SHAKARKI, G
[J]. JOURNAL OF CHRONIC DISEASES, 1979, 32 (03): : 233 - 243
[8] Reliability tests for Weibull distribution with varying shape-parameter, based on complete data
Hisada, K
Arizino, I
[J]. IEEE TRANSACTIONS ON RELIABILITY, 2002, 51 (03) : 331 - 336
[9] ON SHRUNKEN ESTIMATORS FOR EXPONENTIAL SCALE PARAMETER
KAMBO, NS
HANDA, BR
ALHEMYARI, ZA
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1990, 24 (01) : 87 - 94
[10] ON HUNTSPERGER TYPE SHRINKAGE ESTIMATOR
KAMBO, NS
HANDA, BR
ALHEMYARI, ZA
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1992, 21 (03) : 823 - 841

← 1 2 3 →