郑州大学学报（理学版）2017，Vol.49Issue(2)：19-23,5.DOI:10.13705/j.issn.1671-6841.2016213
定时截尾缺失数据样本下Lomax分布总体形状参数的估计与检验
Shape Parameter Estimation and Hypothesis Testing of LomaxPopulation under Type I Censoring Sample with Missing Data
摘要
Abstract
The shape parameters estimation and hypothesis test were studied on Lomax distribution under type I censoring sample with missing data.Maximum likelihood estimation of the shape parameter was discussed on condition that the scale parameter had been known, and the consistency and asymptotic normality of the estimators were proved.Moreover, the confidence interval and hypothesis test of shape parameters were given.Finally, Monte Carlo simulation was used to illustrate the excellent performance of the estimator.关键词
Lomax分布/定时截尾/缺失数据/极大似然估计Key words
Lomax distribution/type I censored sample/missing data/maximum likelihood estimation分类
数理科学引用本文复制引用
龙兵,朱全新,习长新..定时截尾缺失数据样本下Lomax分布总体形状参数的估计与检验[J].郑州大学学报（理学版）,2017,49(2):19-23,5.基金项目
国家自然科学基金项目(61374080) （61374080）
湖北省教育厅科学研究项目(B2016264). （B2016264）
