基于貝葉斯思想產(chǎn)生無(wú)窮維偽隨機(jī)數(shù)的方法及應(yīng)用.pdf

1、武漢理工大學(xué)碩士學(xué)位論文基于貝葉斯思想產(chǎn)生無(wú)窮維偽隨機(jī)數(shù)的方法及應(yīng)用姓名：王文娟申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：童恒慶20091101武漢理I人學(xué)碩l：學(xué)位論文AbstractWiththerapiddevelopmentofcomputersandtheincreaseinthedegreeofsocialinformation，informationeverywhere，andinformationsecurityprob

2、lemsalsogetmoreandmorepeople’SattentionIntheinformationsecurityissueshowgett11eexcellentpseudo—randomnumberisveryimportantbecauseintheinformationsecuritythepseudorandomnumberplaysabasicandcrucialroleWesaythatthefinepseud

3、o—randomnumberiSthecornerstoneofinformationsecurityfora11Inordertogetalongercyclebetterstatisticalpropertiesofrandomseriesthispaperfirstintroducesthecommonpseudorandomnumbergenerators：linearcongruencegeneratornon。linearc

4、ongruencegeneratorsfeedbackshiRgeneratorandgeneratorcombinationsAtthesametime，Testthestatisticalpropertiesofpseudo—randomnumberwhichmakebythesepseudorandomnumbergeneratorBasedonthelinearcongruencegeneratorandthecombinati

5、onofgeneratorthispaperpresentsanewcombinationgeneratormethod，whichiSbasedonBayesiantheorytogenerateinfinitedimensionalpseudo—randomnumberWewanttouseBayesiantheorytogeneratepseudorandomnumbersifwegeneratepseudo—randomnumb

6、erwhichcanbesubjecttoaspecificdistribution，andwecanhavethesespecificparametersofthedistributionofrandomization，thenBayesianmethodscantheoreticallybetogeneratepseudorandomnumberTheMonteCarlomethodiSabletoconnecttheBayesia

7、ntheoryandtherandomnumberwellButtheMonteCarlomethodcanonlybeappliedtosomesimpleBayesianstatisticalanalysis；itdoesnotmeetourneedwhenBayesianposteriordistributioniScomplex，highdimensionalsituationBasedonthissituationwehave

8、proposedMarkovchainMonteCarlomethods，whichwillintegrateBayesiantheoryandrandomnumbersverywelltogetherandwhichiSsuitableforamorecomplicatedsituationtheBayesianposteriordistilbutionFinallyweuseGibbssamplingcombinedwithinfi

9、nite—dimensionaltheorytogetpseudorandomnumberswiththelongerthecycle，thatweneed，andthispseudorandomnumberiSgeneratedbasedonBayesiantheoryofinfinite—dimensionalpseudorandomnumberAttheendofthisarticle，basedonBayesiantheorie

10、s，infinitedimensionalpseudorandomnumberappliedtothefieldofinformationsecurity：RFIDauthenticationprotoc01FirstlyweanalyzedalltheexistingRFIDauthenticationprotocol；secondlypresentedaninfinitedimensionalpseudorandomnumberge

11、neratortoenhanceprotocolsecurity；andthenbasedontheBayesianinfinitedimensionalpseudorandomnumberweproposedatheorygeneratorcertifiedagreementComparedwiththetraditionalvarietyofprotocols，OurmethodcanresistavarietyofaRackmet