连续型随机变量 meaning in English
random variable of continuous type
Examples
- 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，介绍本论文的选题背景，对已有的工作进行扼要的介绍；第二章，利用似然比的概念研究相依连续型非负随机变量序列的极限性质，得到一类强偏差定理，其偏差界依赖于正常数c ；第三章，利用对数似然比的概念得到一类随机偏差定理，其偏差界依赖于r ( ) ，证明中引进了尾概率和尾概率的laplace变换的概念；第四章，利用对数似然比的概念，得到了一类关于任意连续型随机变量序列的泛函的强偏差定理。 - 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
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。 - 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
本论文继续这方面的工作，利用似然比、对数似然比的概念研究相依连续型随机变量序列的极限性质，得到相应的用不等式表示的强偏差定理。证明中提出了将laplace变换的工具应用于强极限定理研究的一种方法。 - We also give the reliability analysis of cold - , warm standby repairable system of two components with continuous lifetime switch and priority , under the condition that the operating time and maintained time of the two components and the lifetime and repair - time of the switch are all exponential distributions . all the variables are independent , and the lifetime of operating components have nothing to do with its maintained time , and the failure components and switch can be as good as new after repair
对于由两个不同型部件组成的、有优先权的、开关寿命为连续型随机变量的冷、温贮备可修系统，本文在两部件的工作时间、维修时间以及转换开关的寿命和修理时间均服从指数分布、所有随机变量均相互独立、工作部件的寿命分布与其贮备时间无关、故障部件和转换开关均可修复如新的情况下作了研究。