theorems of probability theory 中文意思是什麼
theorems of probability theory
解釋
概率論定理- theorems : 定理
- of : OF ＝Old French 古法語。
- probability : n 1 或有；或然性。2 【哲學】蓋然性〈在 certainly 和 doubt 或 posibility 之間〉。3 【數學】幾率，...
- theory : n. 1. 理論，學理，原理。2. 學說，論說 （opp. hypothesis）。3. 推測，揣度。4. 〈口語〉見解，意見。
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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
劉文教授在解決大數定律中，用首創的分析方法得到一類隨機變量序列的強偏差定理。后來，劉文教授把分析方法用於信息論中shannon - mcmillan定理和連續型隨機變量的偏差定理的研究，得到了若干強偏差定理。本文的第二章是引進任意信源相對熵密度偏差的概念，並利用這個概念研究任意信源二元函數的一類強偏差定理，得到了馬氏信源shannon - mcmillan定理的一個推廣。
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