PERMANENTAL VECTORS WITH NONSYMMETRIC KERNELS

• 成果类型: Article
• 署名作者: Eisenbaum, Nathalie
• 署名单位: Centre National de la Recherche Scientifique (CNRS); Sorbonne Universite
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/15-AOP1008
• 发表日期: 2017
• 页码: 210-224
• 关键词: squared gaussian-processes

摘要

A permanental vector with a symmetric kernel and index 2 is a squared Gaussian vector. The definition of permanental vectors is a natural extension of the definition of squared Gaussian vectors to nonsymmetric kernels and to positive indexes. The only known permanental vectors either have a positive definite kernel or are infinitely divisible. Are there some others? We present a partial answer to this question.