标题:
随机寿命数据威布尔分布的二维γ1 - γ2图Two Dimensional γ1 - γ2 Plots of Weibull Distribution for Random Life Data Sets
作者:
王桂金
关键字:
威布尔分布, 斜度, 过剩峭度Weibull Distribution, Skewness, Excess Kurtosis
期刊名称:
《Statistics and Application》, Vol.4 No.1, 2015-02-28
摘要:
本文首先根据形状参数计算威布尔分布的斜度和过剩峭度的理论值，再画出相应的二维γ1 - γ2图。然后对一组100个随机数产生的寿命及两组实测轴承寿命数据计算截尾数10到全样本的实际斜度和过剩峭度。结果表明，实验数据随斜度的增加逐步逼近威布尔理论分布。First, the two dimensional γ1 - γ2 Plot of Weibull distribution is drawn by calculating skewness and excess kurtosis defined by the shape parameter, then one set of 100 random life data and two sets of bearing life data are used to evaluate skewness and excess kurtosis when they are right censored from 10 up to full sample size. It is found that random life dataset and lab-test datasets both are able to gradually approach to the expected two dimensional γ1 - γ2 plot of Weibull distribution.