| | | | | 平稳无后效流的特征 | | | 朱光锐 | | | 本文在很弱的分布函数假定下，给出了平稳无后效流特征的几个新结果。定理１、２ 的结果与全寿命有关。定理３、４用有关的条件分布来刻划平稳无后效流，而且其中的 分布类似于均匀分布，应用中容易检验。全部结果都可平行推到Ｐｏｉｓｓｏｎ流的情形。
【作者单位】：应用数学系
【关键词】：平稳无后效流;Poisson流;全寿命;顾客批数;排队论
【DOI】：cnki:ISSN:1000-0054.0.1986-04-008
【正文快照】：
一、引言1.定义及记号定义 1定义在(Q, x, P)上的随机过程｛X,, t>0｝称为一个流,如果1.对任何t>0,X,只取非负整数值2.除一个零概集外,Kt,t>0｝的样本函数在【0,+co)上是非降右连续的。定义 2流｛X;, tDeo｝称为平稳无后效流,如果它是时齐的独立增量过程。以下是将要用到的记号。设｛Xt,tpeo｝是一个流,S是任给正数,令设F(x)是某非负随机变量的分布函数,记2.结构定理定理1“‘设(兄,t>0｝是流,则它是平稳无后效流的充要条件是:1)｛0。, n71｝独立、同指数分布幻(P。,n>1｝独立、同分布,且氏与P。相互独立。定N 2“‘设｛Xt, tpeo｝为… | | |  推荐 CAJ下载  PDF下载 | | | CAJViewer7.0阅读器支持所有CNKI文件格式，AdobeReader仅支持PDF格式 | | | | Characters of Stationary Non-after-effect Streams | | | Zhu Guangrui (Department of Applied Mathematics) | | | This article gives several new results of the characters of stationary non-after-effect streams under rather weak assumptions on distribution functions. The results in theorem 1 and 2 are concerned with total life. In theorem 3 and 4, the stationary non-after-effect streams are defined by using relevant conditional distribution, which is quite heuristic, and moreover, the distributions concerned are very similar to uniform distribution and can thus be easily tested. All of the result can be used in Poisson stream parallelly.
【Keyword】：stationary non-after-effect stream, poisson stream, total life, number of arrivals, queuing theory. |
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