| Testing for the maximum cell probabilities in multinomial distributions |
| |
| 作者姓名： | XIONG Shifeng & Li Guoying Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing China |
| |
| 作者单位： | XIONG Shifeng & Li Guoying Academy of Mathematics and System Sciences，Chinese Academy of Sciences，Beijing 100080，China |
| |
| 摘 要： | This paper investigates one-sided hypotheses testing for p, the largest cell probability of multinomial distribution. A small sample test of Ethier (1982) is extended to the general cases. Based on an estimator of p, a kind of large sample tests is proposed. The asymptotic power of the above tests under local alternatives is derived. An example is presented at the end of this paper.
|
| 收稿时间： | 20 August 2004 |
Testing for the maximum cell probabilities in multinomial distributions |
| |
| XIONG Shifeng & Li Guoying Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing ,China.Testing for the maximum cell probabilities in multinomial distributions[J].Science in China(Mathematics),2005,48(7):972-985. |
| |
| Authors: | XIONG Shifeng Li Guoying |
| |
| Institution: | Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China |
| |
| Abstract: | This paper investigates one-sided hypotheses testing for p, the largest cell probability of multinomial distribution. A small sample test of Ethier (1982) is extended to the general cases. Based on an estimator of p, a kind of large sample tests is proposed. The asymptotic power of the above tests under local alternatives is derived. An example is presented at the end of this paper. |
| |
| Keywords: | multinomial distribution hypothesis testing maximum multinomial probability order statistics asymptotic distribution local alternatives |
| 本文献已被 CNKI 万方数据 SpringerLink 等数据库收录！ |
