| 定时截尾情形下几何分布参数的估计和检验 |
| |
| 引用本文： | 刘银萍,秦青,张雨嫡.定时截尾情形下几何分布参数的估计和检验[J].吉林师范大学学报（自然科学版）,2014(4):36-39. |
| |
| 作者姓名： | 刘银萍 秦青 张雨嫡 |
| |
| 作者单位： | 吉林师范大学 数学学院,吉林 四平,136000 |
| |
| 摘 要： | 本文讨论了定时截尾情形几何分布参数的极大似然估计,证明了参数的极大似然估计的相合性质和进一步的渐近正态性质,给出了检验两几何总体参数相等的检验统计量以及检验统计量的极限分布.其结果对于离散型总体分布的参数估计问题具有普遍的现实意义.
|
| 关 键 词： | 定时截尾 极大似然估计 极限分布 |
The Parameter Estimation and Testing of Geometric Distribution under Type-Censoring |
| |
| LIU Yin-ping,QIN Qing,ZHANG Yu-di.The Parameter Estimation and Testing of Geometric Distribution under Type-Censoring[J].Jilin Normal University Journal(Natural Science Edition),2014(4):36-39. |
| |
| Authors: | LIU Yin-ping QIN Qing ZHANG Yu-di |
| |
| Institution: | ( College of Mathematics ,Jilin Normal University, Siping 136000, China) |
| |
| Abstract: | In this paper,the maximum likelihood estimation of geometric distribution under type-Π censoring is discussed,and the further asymptotic normality and its strong consistency are proved. Moreover,statistic on testing equality of two geometric distributions and its limit distribution are given. These results have common and practical sense about the parameter estimation of other discrete distributions. |
| |
| Keywords: | Type-Π censoring maximum likelihood estimation limiting distribution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
