Polarization Test for the multinomial Distribution
针对多项分布提出极化度量标准，并给出检验极化程度是否大于给定值的无偏统计检验方法，适用于判断分布是否集中于少数类别。
Abstract A multinomial distribution with k cells is said to be polarized if the total probability mass of the distribution is essentially concentrated into a fewer number of cells. In this article a criterion is developed for measuring polarization, and a statistical test is given for testing the hypothesis that a multinomial distribution has a given measure of polarization against the alternative hypothesis that the measure of polarization is larger. The given test is called a polarization test and is shown to be unbiased.