# Michael Perlman

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Preprints
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Pure Significance Tests for Multinomial and Binomial Distributions: the Uniform Alternative
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Michael D. Perlman
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A {\it pure significance test} (PST) tests a simple null hypothesis $H_f:Y\sim f$ {\it without specifying an alternative hypothesis} by rejecting $H_f$ for {…

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Estimating the Ratio of Means in a Zero-inflated Poisson Mixture Model
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Michael D. Perlman
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The problem of estimating the ratio of the means of a two-component Poisson mixture model is considered, when each component is subject to zero-inflation, i.e…

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On the structure of essential graphs for AMP chain graph models
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Steen A. Andersson, Michael D. Perlman
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Chain graphs (CG) use undirected and directed edges to represent both structural and associative dependences. Like acyclic directed graphs (ADGs), the CG…

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On the feasibility of parsimonious variable selection for Hotelling's $T^2$-test
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Michael D. Perlman
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Hotelling's $T^2$-test for the mean of a multivariate normal distribution is one of the triumphs of classical multivariate analysis. It is uniformly most…

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How Uniform is the Uniform Distribution on Permutations?
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Michael D. Perlman
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For large $q$, does the (discrete) uniform distribution on the set of $q!$ permutations of the vector $(1,2,\dots,q)$ closely approximate the (continuous)…