Chi-squared tests for and against uniform stochastic ordering on multinomial parameters

@inproceedings{Lee2002ChisquaredTF,
  title={Chi-squared tests for and against uniform stochastic ordering on multinomial parameters},
  author={Chu-in Charles Lee and Xiaosong Yan},
  year={2002}
}
Cressie and Read's directed divergence is a useful criterion in multinomial inferential procedures. In this paper, we obtained the directed divergence estimate of a multinomial parameter that is smaller than or larger than a given distribution in the uniform stochastic ordering. Asymptotic distributions of test statistics for and against the uniform stochastic ordering are also derived. 

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