Bernoulli Processes
Identifieur interne : 000003 ( Istex/Corpus ); précédent : 000002; suivant : 000004Bernoulli Processes
Auteurs : Philip Feinsilver ; René SchottSource :
- Mathematics and Its Applications
Abstract
Abstract: This Chapter and the next present the main application of the theory developed in this text — the algebraic structure underlying the basic distributions and processes of probability theory. In this Chapter, first we present the Bernoulli systems based on the underlying Lie algebra structures. Then we discuss the associated stochastic processes: Bernoulli processes. In Chapter 6, various aspects of the analytic structure of Bernoulli systems are considered.
Url:
DOI: 10.1007/978-94-011-1648-0_6
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I</OrgName><OrgAddress><City>Vandoeuvre-les-Nancy</City><Country>France</Country></OrgAddress></Affiliation></AuthorGroup><Abstract Language="En" ID="Abs1" OutputMedium="Online"><Heading>Abstract</Heading><Para>This Chapter and the next present the main application of the theory developed in this text — the algebraic structure underlying the basic distributions and processes of probability theory. In this Chapter, first we present the Bernoulli systems based on the underlying Lie algebra structures. Then we discuss the associated stochastic processes: Bernoulli processes. In Chapter 6, various aspects of the analytic structure of Bernoulli systems are considered.</Para></Abstract></ChapterHeader><NoBody></NoBody></Chapter></Book></Series></Publisher></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Bernoulli Processes</title></titleInfo><titleInfo type="alternative" contentType="CDATA"><title>Bernoulli Processes</title></titleInfo><name type="personal"><namePart type="given">Philip</namePart><namePart type="family">Feinsilver</namePart><affiliation>Department of Mathematics, Southern Illinois University, Carbondale, Illinois, USA</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">René</namePart><namePart type="family">Schott</namePart><affiliation>CRIN, Université de Nancy I, Vandoeuvre-les-Nancy, France</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre displayLabel="OriginalPaper" authority="ISTEX" authorityURI="https://content-type.data.istex.fr" type="research-article" valueURI="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</genre><originInfo><publisher>Springer Netherlands</publisher><place><placeTerm type="text">Dordrecht</placeTerm></place><dateIssued encoding="w3cdtf">1993</dateIssued><copyrightDate encoding="w3cdtf">1993</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><abstract lang="en">Abstract: This Chapter and the next present the main application of the theory developed in this text — the algebraic structure underlying the basic distributions and processes of probability theory. 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