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20052024
most citedMultiple Testing and Error Control in Gaussian Graphical Model Selection

140 citations · 296 across the 14 of their papers we have counts for

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6 papers · 1 filter

math.ST2024

Pure Significance Tests for Multinomial and Binomial Distributions: the Uniform Alternative

Michael D. Perlman

A {\it pure significance test} (PST) tests a simple null hypothesis {\it without specifying an alternative hypothesis} by rejecting for {\it small} values of $f…

math.ST2022

Estimating the Ratio of Means in a Zero-inflated Poisson Mixture Model

Michael D. Perlman

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., excess zero counts.…

math.ST2019

On the feasibility of parsimonious variable selection for Hotelling's -test

Michael D. Perlman

Hotelling's -test for the mean of a multivariate normal distribution is one of the triumphs of classical multivariate analysis. It is uniformly most powerful among invariant t…

math.ST2012

Reverse Exchangeability and Extreme Order Statistics

Yindeng Jiang, Michael D. Perlman

For a bivariate random vector (X,Y), symmetry conditions are presented that yield stochastic orderings among |X|, |Y|, |max(X,Y)|, and | min(X, Y)|. Partial extensions of these res…

math.ST2006★ 1 cited

On the structure of essential graphs for AMP chain graph models

Steen A. Andersson, Michael D. Perlman

Chain graphs (CG) use undirected and directed edges to represent both structural and associative dependences. Like acyclic directed graphs (ADGs), the CG associated with a statisti…

math.ST2005★ 140 cited

Multiple Testing and Error Control in Gaussian Graphical Model Selection

Mathias Drton, Michael D. Perlman

Graphical models provide a framework for exploration of multivariate dependence patterns. The connection between graph and statistical model is made by identifying the vertices of…