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Estimation of Weibull parameters by omission of some data in a sample
Authors:N. Kamiya  O. Kamigaito
Affiliation:(1) Toyota Central Research and Development Laboratories, 41-1 Aza Yokomichi, Oaza Nagakute, Nagakute-cho, Aichi-gun, 480-11 Aichi-ken, Japan
Abstract:Methods of estimating Weibull parameters by omission of some data in a sample are considered for various functions for survival probability in linear Weibull plots. Computer simulation is used for the consideration. A use of the survival probability function, (P(i) = 1 – (i – 0.5)N, in whichP(i) is survival probability,i is thei-th order of failure strength andN is the total number of data in the sample, and the omission of 2 to 4% of the data, which are of the smallest value, the largest one and their neighbours, are recommended to get the best value of the Weibull parameters.
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