馬氏骨架過(guò)程在廣義分支過(guò)程中的應(yīng)用.pdf

1、中南大學(xué)碩士學(xué)位論文馬氏骨架過(guò)程在廣義分支過(guò)程中的應(yīng)用姓名：徐娟申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：概率論與數(shù)理統(tǒng)計(jì)指導(dǎo)教師：侯振挺20081101ABSTRACTBranchingprocess，asanimportantbranchofstochasticprocess，iswidelyusedSincetheclassicalbranchingprocessesisproposed，Branchingprocesshasdevelopedbo

2、thfromsimplenesstothecomplexandfromunitarilytomultiplicityformorethanonecenturySo，wecansaytheclassicalbranchingprocessisthefoundationofotherbranchingprocessesThegeneratingfunctionwasadoptedtesearchthebehaviorofbranchingp

3、rocessesintheformerresearchBasedontheformerresearchresults，thispapertakingaparticlespliRingsystemasanexample，firstlyextendstheMarkovbranchingprocesstothegeneralizedbranchingprocesses，andthenextendsthegeneralizedbranching

4、processtothetwo—typebranchingprocesses；I圮雞discussestheinstantaneousdistributionofthegeneralizedbranchingprocessesandthetwotypebranchingprocesseswiththeMarkovskeletonprocesstheory；finallygivesouttheequationsofinstantaneou

5、sdistributionoftheparticlespliUingsystemMarkovskeletonprocessisakindofcomprehensivestochasticprocess，whichisfirstlyputforwardbyprofHouzhentingandhiscolleaguesin1997Theprocesscontainsmanyclassicalstochasticprocessmodels，s