scholarly journals A Two-Plan Sampling System for Life Testing Under Weibull Distribution

2010 ◽  
Vol 9 (1) ◽  
pp. 54-59 ◽  
Author(s):  
Muhammad Aslam ◽  
Saminathan Balamurali ◽  
Chi-Hyuck Jun ◽  
Munir Ahmad
Keyword(s):  
Weibull Distribution ◽  
Life Testing ◽  
Sampling System

ESTIMATION OF WEIBULL PARAMETERS USING A FUZZY LEAST-SQUARES METHOD

2004 ◽  
Vol 12 (05) ◽  
pp. 701-711 ◽  
Author(s):  
WEN-LIANG HUNG ◽  
YUAN-CHEN LIU
Keyword(s):  
Weibull Distribution ◽  
Least Squares ◽  
Robust Estimation ◽  
Least Squares Method ◽  
Estimation Method ◽  
Reliability Theory ◽  
Life Testing ◽  
Least Squares Algorithm ◽  
Two Parameter ◽  
Noise Cluster

The purpose of this paper is to find a robust estimation method for a two-parameter Weibull distribution when outliers are present. This is a relevant problem because of the usefulness of the Weibull distribution in life testing and reliability theory. For that purpose, a cluster-wise fuzzy least-squares algorithm with a noise cluster is used. This is because a noise cluster can be used for compensating the effects of outliers. Numerical comparisons between this fuzzy least-squares algorithm and the existing methods are implemented. According to these comparisons, it is suggested that the proposed fuzzy least-squares algorithm is preferable when the sample size is large.

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