摘要
首先提出了一种新的寿命分布——两参数对数Laplace分布,研究该分布的密度函数、失效率函数的图像特征以及数字特征,其次在全样本、定数截尾样本以及缺失数据场合下,分别研究了位置参数、刻度参数的点估计与区间估计问题,为满足实际工作者的需要,列出了与枢轴量对应的分位数表,最后通过一个实例说明方法的应用。
A new life distribution called two-parameter logarithmic Laplace distribution was proposed. The image characteristics of density function and failure rate function as well as the numerical characteristics were studied for this distribution. Then the point estimates and interval estimates of location parameter and scale parameter were respectively researched under complete sample,type-I censored sample and missing data. To meet the needs of practitioners,we listed parts of quantile tables of pivotal quantity. Finally,one example was illustrated for the application of methods.
作者
徐晓岭
顾蓓青
王蓉华
XU Xiao-ling GU Bei-qing WANG Rong-hua(School of Statistics and Information, Shanghai University of International Business and Economics, Shanghai 201620, China College of Mathematics and Physics, Shanghai Normal University, Shanghai 200234, China)
出处
《兵器装备工程学报》
CAS
2017年第4期169-178,共10页
Journal of Ordnance Equipment Engineering
基金
国家自然科学基金资助项目(11671264)
关键词
两参数对数Laplace分布
全样本
定数截尾样本
缺失数据
点估计
区间估计
two-parameter logarithmic Laplace distribution
complete sample
type-Ⅰ censored sample
missing data
point estimate
interval estimate
