Springer, 2018. — 140 p. — (SpringerBriefs in Statistics). — ISBN: 4431558861.
This book focuses on statistical inferences related to various combinatorial stochastic processes. Specifically, it discusses the intersection of three subjects that are generally studied independently of each other: partitions, hypergeometric systems, and Dirichlet processes. The Gibbs partition is a family of measures on integer partition, and several prior processes, such as the Dirichlet process, naturally appear in connection with infinite exchangeable Gibbs partitions.
Measures on Partitions
A-Hypergeometric Systems
Dirichlet Processes
Methods for Inferences