矩母函數 的英文怎麼說
中文拼音 [jǔmǔhánshǔ]
矩母函數
英文
moment generating function- 矩 : 名詞1. (畫直角或正方形、矩形用的曲尺) carpenter's square; square2. (法度; 規則) rules; regulations 3. [物理學] moment
- 母 : Ⅰ名詞1 (母親) mother 2 (泛指女性長輩) one s elderly female relatives 3 (配套的兩件東西里的凹...
- 函 : 名詞1. [書面語] (匣; 封套) case; envelope 2. (信件) letter 3. (姓氏) a surname
- 數 : 數副詞(屢次) frequently; repeatedly
- 函數 : [數學] function函數計算機 function computer; 函數計算器 function calculator; 函數運算 functional operation
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Secondly we study the properties of moment generating functions of probability measures, calculate its sub - differential by the convex analysis, use it to characterize the quasi - symmetric probability
本文研究了概率測度的矩母函數的性質,用凸分析的方法算出了矩母函數的次微分,並用此完全刻畫了c . j . stone提出的擬對稱概率測度的性質。A strong limit theorem for fair game and the approach of conditional moment generating function
關于公平賭博的一個強極限定理與條件矩母函數方法By using conditional moment generating functions and differentiation of measures on a net, some limit theorems and a class of deviation theorems of multivariate function sequences of arbitrary random variables ralated to the conditional expectations are obtained
本論文利用條件矩母函數和網微分法,得到任意隨機變量多元函數序列相對于條件期望的偏差定理和極限定理。Professor liu wen, who first invented analysis method in solving large number theorem, connected it with moment generating functions, conditional moment generating functions and differentiation of measures on a net, and some strong limit theorems are obtained. this paper continue to study and expand these results
劉文教授在解決大數定律中把首創的分析方法和矩母函數、條件矩母函數以及測度的網微分法結合起來,得出一系列極限結果,本論文繼續並拓廣這方面的研究。Thirdly, we study the a - invariant radon measures for random walks and levy processes and give some nice ratio limit theorems that is relative to the a - invariant radon measures
同時我們研究了隨機游動和l vy過程的-過分函數和-過分測度,並給出過程沿著矩母函數的次微分方向趨于-不變radon測度的一些比例極限定理。Later, professor liu wen studied the sequences of discrete random variables by combining the analytic technique with the approach of generating function and moment generating function and obtained a class of deviation theorems [ 10 ] ~ [ 121
后來,劉文教授把分析方法結合母函數和矩母函數的方法研究了離散型隨機變量,得到了一類強偏差定理。The research methods are : using the conditional probability theory to work out the moment generating function of process s ( t ) and its distribution function ; using the increasing and declining character and the convexity to compare the lundberg exponent and the ruin probability of different processes
研究方法為:利用條件概率證明過程s ( t )的矩母函數以及其分佈函數;利用增減性以及凹凸性比較lundberg指數,從而比較其相關性對破產概率的影響。Fourthly we use the infimum of the moment generating function to study the a - transient and a - recurrent for random walks and levy processes, give a dichotomy theorem for not one - sided processes and prove tha t the process x is quasi - symmetric if and only if x is not a - recurrent for all a < 0 which is the probability explanation of quasi - symmetry
對于隨機游動和l vy過程,我們用矩母函數的最小值討論了他們的-常返性和-暫留性,給出非單邊過程的一個二分定理,並證明了擬對稱過程等價于過程對任意0都是-常返的,這是擬對稱的概率意義。分享友人