applied probability theory meaning in English
应用概率论
应用概论
Examples
- The strong deviation theorems are new type theorems established by using the notion of the likelihood ratio . professor liu wen frist applied an analysis method in solving a class of strong deviation theorems for a sequense of random variables . later professor liu wen studied the shannon - mcmillan theorem in information theorems [ 2 ] - [ 8 ] and deviation theorems of non - negative continuous random variables [ 10 ] - [ 11 ] by using the analytic technique and obtained some strong deviation theorems . the chapter 2 of the paper studied a class of strong deviation theorems of function of two variables of information sources and obtained a further study of shannon - mcmillan theorem of markov information sourses by definning the using concept of entropy density divergence . the chapter 3 of the paper studied a class of strong deviation theorems of non - negative continuous random variables by using tool of transformation of laplace . information theory , as a branch of applied probability theory , becomes more and more important in appling
刘文教授在解决大数定律中，用首创的分析方法得到一类随机变量序列的强偏差定理。后来，刘文教授把分析方法用于信息论中shannon - mcmillan定理和连续型随机变量的偏差定理的研究，得到了若干强偏差定理。本文的第二章是引进任意信源相对熵密度偏差的概念，并利用这个概念研究任意信源二元函数的一类强偏差定理，得到了马氏信源shannon - mcmillan定理的一个推广。