Order restricted inference for hypotheses concerning qualitative dispersion

摘要: We discuss likelihood-based order restricted inference for hypotheses concerning the qualitative dispersion associated with a probability vector; levels of are compared using concept Schur majorization. In particular, we show how to compute maximum likelihood estimates vector under certain equality and inequality constraints on dispersions, that corresponding estimators consistent. Asymptotic null distributions ratio statistics also derived. Two data sets analyzed methods developed in this paper.