| 随机寿命间的TTT序关系的一个非参数检验 |
| |
| 引用本文： | 李效虎,程国栋.随机寿命间的TTT序关系的一个非参数检验[J].应用数学,2003,16(4):1-7. |
| |
| 作者姓名： | 李效虎 程国栋 |
| |
| 作者单位： | 1. 中国科学院寒区旱区环境与工程研究所,兰州,730000;兰州大学数学系,兰州,730000
2. 中国科学院寒区旱区环境与工程研究所,兰州,730000 |
| |
| 基金项目： | SupportedbyNSFCunderGrantNo .TY 10 12 6 0 14and 10 2 0 10 10 |
| |
| 摘 要： | 本文先建立了一个具有TTT序关系的两个非负随机变量之间距离的概率度量，然后构造了一个非参数检验方法以判断严格的TTT序关系，利用L-统计理论获得了检验统计量的渐近分布，数值模拟的结果也表明该方法的性能是令人满意的．
|
| 关 键 词： | 随机寿命 TTT序 非参数检验 NBUE序 L-统计量 渐近分布 |
A Nonparametric Test Method for Total Time on Test Transform Order Between Two Random Lives |
| |
| LI Xiaohu ,CHENG Guodong.A Nonparametric Test Method for Total Time on Test Transform Order Between Two Random Lives[J].Mathematica Applicata,2003,16(4):1-7. |
| |
| Authors: | LI Xiaohu CHENG Guodong |
| |
| Institution: | LI Xiaohu 1,2,CHENG Guodong 1 |
| |
| Abstract: | A probabilistic measurement of "distance" between two TTT transform ordered randomlives is built at first in this paper. Afterward, a nonparametric procedure is developed to test thestrict total time on test transform order between two random elements. The asymptotic normality ofthe test statistic is established by expressing the test statistic as L-statistic. Finally,some numericalsimulations are presented so as to demonstrate the performance of the presented test. |
| |
| Keywords: | TTT transform NBUE order Lstatistic |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
