S–S method for stochastically ordered multinomial populations with missing data |
| |
Authors: | Hai-Yan Song Jian Tao Ning-Zhong Shi |
| |
Institution: | Key Laboratory of Applied Statistics of MOE, School of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin 130024, PR China |
| |
Abstract: | Stochastic ordering is a useful concept in order restricted inferences. In this paper, we propose a new estimation technique for the parameters in two multinomial populations under stochastic orderings when missing data are present. In comparison with traditional maximum likelihood estimation method, our new method can guarantee the uniqueness of the maximum of the likelihood function. Furthermore, it does not depend on the choice of initial values for the parameters in contrast to the EM algorithm. Finally, we give the asymptotic distributions of the likelihood ratio statistics based on the new estimation method. |
| |
Keywords: | Likelihood ratio testing Maximum likelihood estimate Missing data S&ndash S method Multinomial distribution Stochastic ordering |
本文献已被 ScienceDirect 等数据库收录! |