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Improved Estimation of Weibull Parameters with the Linear Regression Method
Author(s) -
Wu Dongfang,
Lu Guanzhong,
Jiang Hong,
Li Yongdan
Publication year - 2004
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/j.1551-2916.2004.01799.x
Subject(s) - weibull distribution , estimator , linear regression , mathematics , statistics , monte carlo method , weibull modulus , proper linear model , scale parameter , regression analysis , estimation theory , bayesian multivariate linear regression
Monte Carlo simulations were used to search for the optimal probability estimator for estimating Weibull parameters with the linear regression method. Compared with commonly used probability estimators, the optimal one obtained gives a more accurate estimation of the Weibull modulus and the same estimation precision of the scale parameter. It is also concluded that the maximum likelihood method results in the highest precision, however, less conservative than the linear regression method.