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Likelihood Ratio Tests for and Against a Stochastic Ordering Between Multinomial Populations

Likelihood Ratio Tests for and Against a Stochastic Ordering Between Multinomial Populations

Likelihood ratio tests concerning the parameters of two multinomial populations are discussed. A stochastic ordering restriction is considered as a one sided alternative to equality. The one and two sample tests for equality versus stochastic ordering and stochastic ordering versus all alternatives are derived and their large sample distributions are …