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.