- 連續(xù)隨機變量
- continuous: adj. 1.連續(xù)的，繼續(xù)的，無間斷的。 2.【植物；植 ...
- random variable: 【數(shù)、統(tǒng)】隨機變數(shù)。
- random variables: 隨機變量
- correlated random variables: 相關(guān)隨機變數(shù)
- independence of random variables: 隨機變量的獨立性
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continuous random variables中文什么意思
- 連續(xù)隨機變量
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- In chapter l , we introduce the relative background on this paper and give some simple expressions of the work which have been studied . in chapter 2 , in virtue of the notion of likelihood ratio the limit properties of the sequences of dependent nonnegative continuous random variables are studied , and a class of strong limit theorems represented by inequalities are obtained . the bounds given by these theorems depend on positive constant c . in chapter 3 , by means of the notion of log likelihood ratio , a kind random strong deviation theorem are obtained , and the bounds given by these theorems depend on r ( )
第一章，介紹本論文的選題背景，對已有的工作進行扼要的介紹；第二章，利用似然比的概念研究相依連續(xù)型非負隨機變量序列的極限性質(zhì)，得到一類強偏差定理，其偏差界依賴于正常數(shù)c ；第三章，利用對數(shù)似然比的概念得到一類隨機偏差定理，其偏差界依賴于r ( ) ，證明中引進了尾概率和尾概率的laplace變換的概念；第四章，利用對數(shù)似然比的概念，得到了一類關(guān)于任意連續(xù)型隨機變量序列的泛函的強偏差定理。 - 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(shù)定律中，用首創(chuàng)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于信息論中shannon - mcmillan定理和連續(xù)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，并利用這個概念研究任意信源二元函數(shù)的一類強偏差定理，得到了馬氏信源shannon - mcmillan定理的一個推廣。 - In this paper , by means of the notion of likelihood ratio and log likelihood ratio the limit properties of the sequences of dependent continuous random variables are studied , and a class of strong limit theorems represented by inequalities are obtained . in the proof an approach of applying the tool of laplace transform to the study of strong limit theorem is proposed
本論文繼續(xù)這方面的工作，利用似然比、對數(shù)似然比的概念研究相依連續(xù)型隨機變量序列的極限性質(zhì)，得到相應(yīng)的用不等式表示的強偏差定理。證明中提出了將laplace變換的工具應(yīng)用于強極限定理研究的一種方法。 - In chapter 4 , the purpose of this chapter is to establish a kind of strong deviation theorems of functional for the sequences of arbitrary continuous random variables , by using the conception of log likelihood ratio , and extend the strong deviation theorems on the differential entropy for dependent arbitrary continuous information sources on the the probability space ( , . f , p )
使得對于在概率空間( ， f ， p )上的任意連續(xù)型信源的微分熵的強偏差定理是本文的推論；第五章，總結(jié)本文的主要結(jié)論。 - Then we get ruin probability , actuarial diagnostics and lundberg inequality in the new model . as to the risk model with random premium rate , we concerned with discrete random variable , continuous random variable and general random variable . we derive the formula of ruin probability , the extreme during the total duration of negative surplus and the joint distribution of the surplus immediately before ruin and the deficit at ruin
對于保費率為隨機變量的一類風險模型，本文就離散的隨機變量、連續(xù)的隨機變量、一般的隨機變量三個方面進行討論，運用概率方法和風險理論的方法推導(dǎo)出破產(chǎn)概率、末離前最大盈余分布、破產(chǎn)前瞬時盈余與破產(chǎn)赤字的聯(lián)合分布等精算量分布的一般公式。
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