工程数学学报
工程數學學報
공정수학학보
CHINESE JOURNAL OF ENGINEERING MATHEMATICS
2014年
5期
675-686
,共12页
离散指数分布%无规则性%似然比%相对熵%强偏差%强逼近
離散指數分佈%無規則性%似然比%相對熵%彊偏差%彊逼近
리산지수분포%무규칙성%사연비%상대적%강편차%강핍근
discrete exponential distribution%irregularity%likelihood ratio%relative entropy%strong deviation%strong approximation
本文研究一类特殊相依随机序列-离散指数分布序列,利用随机序列似然比与相对熵概念作为刻画随机序列相依性的随机性度量,借助B-C引理与纯分析方法,给出了离散指数分布序列无规则性的若干强偏差定理以及与独立连续型指数分布序列间的强逼近定理。
本文研究一類特殊相依隨機序列-離散指數分佈序列,利用隨機序列似然比與相對熵概唸作為刻畫隨機序列相依性的隨機性度量,藉助B-C引理與純分析方法,給齣瞭離散指數分佈序列無規則性的若榦彊偏差定理以及與獨立連續型指數分佈序列間的彊逼近定理。
본문연구일류특수상의수궤서렬-리산지수분포서렬,이용수궤서렬사연비여상대적개념작위각화수궤서렬상의성적수궤성도량,차조B-C인리여순분석방법,급출료리산지수분포서렬무규칙성적약간강편차정리이급여독립련속형지수분포서렬간적강핍근정리。
In this paper, we introduce a special class of dependent random sequence-discrete exponential distribution sequence at first. Then we apply the likelihood ratio and relative entropy as the random measure for depicting the dependent random sequence with respect to independent case. Furthermore, we obtain some strong deviation theorems for discrete exponential distribution sequence of irregularity and approximation theorems of irregularity between independent continuous exponential distribution sequence and independent discrete one.