书目

CombinatorialMethodsinDiscreteDistributions

内容简介

AuniqueapproachillustratingdiscretedistributiontheorythroughcombinatorialmethodsThisbookprovidesauniqueapproachbypresentingcombinatorialmethodsintandemwithdiscretedistributiontheory.Thismethod,particulartodiscreteness,allowsreaderstogainadeeperunderstandingoftheorybyusingapplicationstosolveproblems.Theauthormakesextensiveuseofthereductionapproachtoconditionaldistributionsofindependentrandomoccupancynumbers,andprovidesexcellentstudiesofoccupancyandsequentialoccupancydistributions,convolutionsoftruncateddiscretedistributions,andcompoundandmixturedistributions.CombinatorialMethodsinDiscreteDistributionsbeginswithabriefpresentationofsettheoryfollowedbybasiccountingprinciples.Fundamentalprinciplesofcombinatorics,finitedifferences,anddiscreteprobabilityareincludedtogivereadersthenecessaryfoundationtothetopicspresentedinthetext.Athoroughexaminationofthefieldisprovidedandfeatures:StirlingnumbersandgeneralizedfactorialcoefficientsOccupancyandsequentialoccupancydistributionsn-foldconvolutionsoftruncateddistributionsCompoundandmixturedistributionsThoroughlyworkedexamplesaidreadersinunderstandingcomplextheoryanddiscoveringhowtheorycanbeappliedtosolvepracticalproblems.Anappendixwithhintsandanswerstotheexerciseshelpsreadersworkthroughthemorecomplexsections.Referencenotesareprovidedattheendofeachchapter,andanextensivebibliographyoffersreadersaresourceforadditionalinformationonspecializedtopics.

作者简介

CHARALAMBOSA.CHARALAMBIDES,PHD,isaProfessorintheDepartmentofMathematics,UniversityofAthens,Greece.HeisAssociateEditorofCommunicationsinStatistics,authorofEnumerativeCombinatorics,andanelectedmemberoftheInternationalStatisticalInstitute.

丛书

WileySeriesinProabilityandStatistics

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