Some probability structures in multivariate discrete distributions where the decomposition of Kullback information is satisfied

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In this paper, we consider some discrete multivariate probability models where some of the parameters from the first sample and those from the second sample are the same. In the previous paper, we found that the total information may not be equal to the sum of the within information and the between information when we obtain two independent samples from the multinomial probability model. In this paper, we discuss similar problems under some discrete multivariate probability models.

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