TY - BOOK
T1 - Optimized estimation of the Weibull distribution parameters
AU - Wallin, Kim
N1 - CA: MET
PGN: 17 p. + app. 1 p.
PY - 1989
Y1 - 1989
N2 - The Weibull distribution is extensively used in analysing
brittle materials such as ceramics. Usually the
distribution is fitted to data sets based on less than 50
specimens. This number of specimens is so small that the
reliability of the fit can become questionable. The fit
can also be unreliable due to the fact that there exists
a large number of different methods to determine the
Weibull parameters, all of which yield different results.
Therefore, it is imperative to use a method yielding
optimum reliability for the parameters. In this report
the accuracy of different methods for determining the
Weibull distribution parameters are compared. A bias
corrected maximum likelihood estimation method is
presented, and it is proposed that this method is used
for analysis of brittle materials.
AB - The Weibull distribution is extensively used in analysing
brittle materials such as ceramics. Usually the
distribution is fitted to data sets based on less than 50
specimens. This number of specimens is so small that the
reliability of the fit can become questionable. The fit
can also be unreliable due to the fact that there exists
a large number of different methods to determine the
Weibull parameters, all of which yield different results.
Therefore, it is imperative to use a method yielding
optimum reliability for the parameters. In this report
the accuracy of different methods for determining the
Weibull distribution parameters are compared. A bias
corrected maximum likelihood estimation method is
presented, and it is proposed that this method is used
for analysis of brittle materials.
KW - mechanical properties
KW - ceramics
KW - statistical analysis
M3 - Report
SN - 951-38-3414-X
T3 - Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports
BT - Optimized estimation of the Weibull distribution parameters
PB - VTT Technical Research Centre of Finland
CY - Espoo
ER -