摘要
For two normal populations with unknown means μi and variances σi2 > 0, i = 1,2, assume that there is a semi-order restriction between ratios of means and standard deviations and sample numbers of two normal populations are different. A procedure of obtaining the maximum likelihood estimators of μi’s and σi’s under the semi-order restrictions is proposed. For i = 3 case, some connected results and simulations are given.
For two normal populations with unknown means μi and variances σi2 > 0, i = 1,2, assume that there is a semi-order restriction between ratios of means and standard deviations and sample numbers of two normal populations are different. A procedure of obtaining the maximum likelihood estimators of μi’s and σi’s under the semi-order restrictions is proposed. For i = 3 case, some connected results and simulations are given.
基金
the National Natural Science Foundation of China (No.10431010)
the Science Foundation of the Educational Department of Liaoning Province (No. 20060409)
