{"title":"Distributions of Polynomials in Gaussian Random Variables under Constraints on the Powers of Variables","authors":"E. D. Kosov","doi":"10.1134/S0016266322020034","DOIUrl":null,"url":null,"abstract":"<p> We study the densities of measures that are polynomial images of the standard Gaussian measure on <span>\\(\\mathbb{R}^n\\)</span>. We assume that the degree of a polynomial is fixed and each variable appears in the monomials of the polynomial to powers bounded by another fixed number. </p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1134/S0016266322020034","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
We study the densities of measures that are polynomial images of the standard Gaussian measure on \(\mathbb{R}^n\). We assume that the degree of a polynomial is fixed and each variable appears in the monomials of the polynomial to powers bounded by another fixed number.
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