renewal theorem meaning in Chinese
更新定理
Examples
- The renewal theorem approach is extended to construct the cost model for our proposed control charts , and optimization method is used to determine the optimal design parameters of the proposed control charts
我们提出以更新理论方法推导出制程成本模式而且以最适化方法决定管制图之最适设计参数值。 - In this paper , we use the idea of the classical risk model and consider a continuous - time risk model with inter - occurrence times following the deficit - time geometric distribution . by an application of the key renewal theorem in the case of the lattice distribution we derive lundberg bounds , cramer - lundberg approximations to the ruin probability and finite - horizon lundberg inequalities
本文利用经典风险模型的思想，对索赔到达时间间隔服从亏时几何分布的连续时间风险模型做了进一步的研究，应用关键更新定理(格点分布的情形) ，得到了破产概率的lundberg界， cram r - lundberg逼近以及有限时间破产概率的lundberg不等式。 - This paper consists of three chapters . the first one is the preparatory knowledge underlying this paper , including the basic concepts of the piece - wise deterministic markov processes ( pdmp ) , the renewal equation , the key renewal theorem and some results about the classical risk model , which come from [ 2 ] , [ 8 ] and [ 9 ] . the second one introduces the results about the general ruin probability in a kind of continuous - time risk model with the deficit - time geometric distribution of inter - occurrence times , in which claim sizes are discretly distributed . these come from [ 6 ] . the main body of this paper is the third one where we derive lundberg bounds , cramer - lundberg approximations to the ruin probability and finite - horizon lundberg inequalities
本文共三章，第一章是奠定本论文基础的相关知识，包括逐段决定马尔可夫过程的一些基本概念、更新方程与关键更新定理的内容以及经典风险模型的介绍，主要取自[ 2 ] 、 [ 8 ]和[ 9 ] 。第二章介绍了该风险模型在索赔额分布为一般分布下的破产概率的一般表达式及相关定理，内容来自[ 6 ] 。第三章是本文的主体，求得了该模型的破产概率的lundberg界， cram r - lundberg逼近以及有限时间破产概率的lundberg不等式。 - But in more situations the random variables generating counting processes may not independent identically distributed , and in all kinds of dependent relations , negative association ( na ) and positive association ( pa ) are commonly seen . the research and apply in this aspect are rather valuable . in chap 2 we prove wald inequalities and fundamental renewal theorems of renewal counting processes generated by na sequences and pa sequences ; in chap 3 we are enlightened by cheng and wang [ 8 ] , extend some results in gut and steinebach [ 7 ] , obtain the precise asymptotics for renewal counting processes and depict the convergence rate and limit value of renewal counting processes precisely ; at last , in the study of na sequences , su , zhao and wang ( 1996 ) [ 9 ] , lin ( 1997 ) [ 10 ] have proved the weak convergence for partial sums of stong stationary na sequences . however product sums are the generalization of partial sums and also the special condition of more general u - statistic
但在更多的场合中，构成计数过程的随机变量未必相互独立，而在各种相依关系中，负相协( na )和正相协( pa )是颇为常见的关系，这方面的研究和应用也是颇有价值的，本文的第二章证明了na列和pa列构成的更新计数过程的wald不等式和基本更新定理的一些初步结果；本文的第三章则是受到cheng和wang [ 8 ]的启发，推广了gut和steinebach [ 7 ] )中的一些结论，从而得到了更新计数过程在一般吸引场下的精致渐近性，对更新计数过程的收敛速度及极限状态进行精致的刻画；最后，在有关na列的研究中，苏淳，赵林成和王岳宝( 1996 ) 》 [ 9 ] ，林正炎( 1997 ) [ 10 ]已经证明了强平稳na列的部分和过程的弱收敛性，而乘积和是部分和的一般化，也是更一般的u统计量的特况，它与部分和有许多密切的联系又有一些实质性的区别，因此，本文的第四章就将讨论强平稳na列的乘积和过程的弱收敛性，因为计数过程也是一种部分和，也可以构成乘积和，这个结果为研究计数过程的弱收敛性作了一些准备。