| 1. | Continuous random variable
连续随机变量 |
| 2. | Calculating skill on the distribution of2 - dimensional continuous random variable functions
二维连续型随机变量函数的分布计算技巧 |
| 3. | The approximation of exponential distribution on the sequences of dependent nonnegative continuous random variable
指数分布对任意非负连续型随机变量的逼近 |
| 4. | Differing from the two assumptions , the problem is studied further taking the replenishing interval as a continuous random variable in cyclical replenishment
笔者在不同于以上两个假定条件下研究多阶段存贮问题，周期补货但补货间隔取为连续型随机变量。 |
| 5. | In this paper , the optional model on the seasonal order of goods when the demand is a continuous random variable is set up and is simply illustrated in practice according to maximum expected profits
从供求关系的角度,考虑预期利润最大,建立了需求为连续型随机变量时的阶段性货物订购的优化模型,分别得到了与存贮费用有关、考虑缺货损失以及多阶段订购毋需订购费用时的最优进货量。 |
| 6. | 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。 |
| 7. | 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。 |
| 8. | 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。 |
| 9. | 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 )
使得对于在概率空间( ， f ， p )上的任意连续型信源的微分熵的强偏差定理是本文的推论；第五章，总结本文的主要结论。 |
| 10. | 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
对于保费率为随机变量的一类风险模型，本文就离散的随机变量、连续的随机变量、一般的随机变量三个方面进行讨论，运用概率方法和风险理论的方法推导出破产概率、末离前最大盈余分布、破产前瞬时盈余与破产赤字的联合分布等精算量分布的一般公式。 |
