# Michael Perlman

### Emeritus, University of Washington

 Email mdperlma@uw.edu Phone +1 206 543-7735 UW Box Number 354322 Homepage Personal Home Page ORCID iD 0000-0003-3287-6616

Research: Multivariate analysis, graphical Markov models, decision theory, probability inequalities, convexity.

Notes:

MATH/STAT 396 Notes

STAT 512 MDP Notes

Solutions:

STAT 512 Solutions

STAT 513 Solutions

Preprints

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…

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…

On the feasibility of parsimonious variable selection for Hotelling's $T^2$-test
Michael D. Perlman
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…

How Uniform is the Uniform Distribution on Permutations?
Michael D. Perlman
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)…