DISPERSION COMPARISONS OF TWO PROBABILITY VECTORS UNDER MULTINOMIAL SAMPLING |
| |
Authors: | Xiong Shifeng Li Guoying |
| |
Institution: | Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China |
| |
Abstract: | We consider testing hypotheses concerning comparing dispersions between two parameter vectors of multinomial distributions in both one-sample and two-sample cases. The comparison criterion is the concept of Schur majorization. A new dispersion index is proposed for testing the hypotheses. The corresponding test for the one-sample problem is an exact test. For the two-sample problem, the bootstrap is used to approximate the null distribution of the test statistic and the p-value. We prove that the bootstrap test is asymptotically correct and consistent. Simulation studies for the bootstrap test are reported and a real life example is presented. |
| |
Keywords: | Multinomial distribution dispersion diversity bootstrap hypothesis testing majorization |
本文献已被 CNKI 维普 万方数据 ScienceDirect 等数据库收录! |