数表による極値分布と2母数ワイブル分布の母数およびパーセント点の信頼限界値推定

概要

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The objective of this paper is to provide the tables in order to estimate the confidence limits for the parameters and percentile points of the extreme-value and two-parameter Weibull distributions. The confidence limits of percentile points are sometimes called the tolerance limits. Two different methods were selected as parameter estimators in this paper. They were : a combination of the median ranks and the method of least squares and the best linear unbiased estimators (BLUES)' Since these tables are not analytically obtainable, Monte-Carlo techniques were used. The Monte-Carlo simulation generated 100 000 sets of complete samples for each sample size. By using these data and pivotal (parameter-free) quantities, the desired tables were derived. The sample sizes were 3(1)20, 25(5)50, and 60(10)100 for the combination of the median ranks and the method of least squares, and 3(1)25 for the BLUEs.
社団法人日本材料学会の論文
1992-09-15