THE ERDOS-RENYI LAWS OF LARGE NUMBERS FOR NON-IDENTICALLY DISTRIBUTED RANDOM VARIABLES-中国期刊网

摘要 TheErdos-Renyilawoflargenumbers(1970)isthefirstimportantresultforasymptoticbehavioursofincrementsofpartialsamsofasequenceofrandomvariableswithapan[ClogN].Somegeneralizationshavebeendonesinoethen,suchasconver-gencerateofthelimit,someresultswhenorderofspanbeingeitherhigherorlowerthanlogN.Butalltheseresultsareonlyobtainedinthecaseofi.i.d.randomvariables.Thispaperaimsatthegeneralizationoftheseresultstotheeasewhenrandomvariablesareindependent,butnotnecessarilyidenticallydistributed.TothisendChernoffTheoremisgeneralizedtothecorlespondingcaseatfirst.

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THE ERDOS-RENYI LAWS OF LARGE NUMBERS FOR NON-IDENTICALLY DISTRIBUTED RANDOM VARIABLES

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THE ERDOS-RENYI LAWS OF LARGE NUMBERS FOR NON-IDENTICALLY DISTRIBUTED RANDOM VARIABLES

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