Small Sample Asymptotics for Higher-Order Spacings
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In this chapter, we give conditional representations for families of statistics based on higher-order spacings and spaing frequencies. This allows us to compute accurate approximations to the distribution of such statistics, including tail probabilities and critical values. These results generalize those discussed in (1999) and are essential in using such statistics in various testing contexts.
Keywords and phrasesGoodnes-of-fit tests nonparametric tests rank tests m-step spacings m-step spacing frequencies two-sample tests Dirichlet gamma negative binomial distributions
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