多重モード・ワイプル分布のパラメータ推定における多段相関係数法と多段最ゆう法の比較

概要

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Sakai et al. Eatablished the "correlation factor method"for estimating 3-parameters in Weibull distribution function. However, this method can only be applied to mono-modal fracture models. In this work, for analyzing multi-modal Weibull distribution function we suggested a new estimating method, namely the multi-correlation factor method, by employing Kaplan-Meier method which can separate the data into individual causes of fracture. By Monte Carlo simulation for bi-modal Weibull distribution function (6-parameters) we compared the multi-correlation factor method with the multi-maximum likedhood method. It was concluded that the multi-maximum likelihood method was more accurate than the multi-correlation factor method. Further, we estimated six Weibull parameters for 403 data of Si_3N_4 obtained by 3-point bending tests.
社団法人日本材料学会の論文
1985-12-15