期刊
JOURNAL OF THE EUROPEAN CERAMIC SOCIETY
卷 37, 期 1, 页码 369-380出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.jeurceramsoc.2016.07.008
关键词
Weibull; Extreme value distribution; Unbiased estimation; Weibull modulus; Linear least squares
The wide applicability of the Weibull distribution to fields such as hydrology and materials science has led to a large number of probability estimators being proposed, in particular for the widely used technique of obtaining the Weibull modulus, m, using unweighted linear least squares (LLS) analysis. In this work a systematic approach using the Monte Carlo method has been taken to determining the optimal probability estimators for unbiased estimation of in (mean, median and mode) using the general equation F = (i - a) / (N + b) whilst simultaneously minimising the coefficient of variation for each of the average values. A wide range of a and b values were investigated within the region 0 <= a <= 1 and 1 <= b <= 1000 with the form of F = (i - a) / (N + 1) being chosen as the recommend probability estimator equation due to its simplicity and relatively small coefficient of variation. Values of a as a function of N were presented for the mean, median and mode m values. (C) 2016 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据