单水平连续性抽样方案CSP-V的流向图方法

本文利用转移概率流图和转移概率母函数的方法推导并得到了连续性抽样方案CSP—V的平均检出质量 (AOQ)、平均检查比离 (AFI)、和操作特性函数 (OC)等三个基本特性函数     

对带有中止规则的调整型抽样方案的复合OC函数的研究

利用多元转移概率流图及转移概率母函数,对带有中止检查规则的调整型抽样方案进行了讨论,分别在(1)当检查始于正常检查时,(2)当检查始于加严检查时和(3)当检查始于放宽检查时,得到了三个复合OC函数.     

CSP-2-P方案的动态平均检出质量

本文运用转移概率流向图及事件的动态分解等方法 ,首次成功推导出了连续抽样方案 CSP- 2 - P的动态平均检出质量 AOP(t)的理论表达式 ,并在文章最后给出了具体的算例 .     

更新过程及流向图在链型抽样方案中的应用

本文首次将更新过程 ,多元转移概率流向图及多元转移概率母函数引入到链型抽样方案chsp- 1中 ,推导出链型抽样方案 chsp- 1的抽样特性函数 L(P) ,为探讨各类链型抽样方案的统计特性提供新途径     

连续抽样方案的多元转移概率流向图方法

本文通过由多元转移概率流向图寻求多元转移概率母函数的方法,对于使用概率抽样方式的CSP-1,CSP-2,CSP-T和CSP-V四类连续抽样方案进行了较全面的讨论。讨论表明了此种方法对属性抽样问题的适用性。     

随机抽样情况下CSP—3方案的流向图方法

本文将转移概率流向衅及转移概率母函数等方法引入到在的抽样检查阶段使用随机抽样方法的连续抽样方案ＣＳＰ－３的平均检出质量ＡＯＱ，平均检查比率ＡＦＩ和操作特性函数Ｌ（Ｐ）等三个指标的讨论中，为探讨ＣＳＰ－３方案提供新途径。     

转移概率流图的概率理论基础与应用方法(Ⅵ)——中止规则对调整型抽样方案复合OC函数影响的进一步讨论

解顺强．转移概率流向图的概率理论基础与应用方法（Ⅵ）—中止规则对调整型抽样方案复合ＯＣ函数影响的进一步讨论．数理统计与管理．１９９８．１７（６）本文运用转移概率流向图及其粘接方法，证明了当检查始于加严抽样方案时，不带中止规则的调整型抽样方案与带中止规则的相应的调整型抽样方案，两者的复合ＯＣ函数相同     

转移概率流图的概率理论基础与应用方法（Ⅵ）——中止规则对调整型抽样方案复

解顺强。转移概率流向图的概率理论基础与应用方法（Ⅵ）－中止规则对调整型抽样方案复合ＯＣ函数影响的进一步讨论。数理统计与管理。１９９８．１７（６）本文运用转移概率流向图及其粘接方法，证明了当检查始于加严抽样方案时，不带中止规则的调整型抽样方案与带中止规则的相应的调整型抽样方案，两者的复合ＯＣ函数相同。     

转移概率流图的概率理论基础与应用方法（Ⅴ）：中止规则对调整形抽样方案 …

本文运用转移概率流向图及其粘接方法，首次证明当检查始于正常抽样方案时，不带中止规则的调整型抽样方案与中止规则的相应的调整型抽样方案，两者的复合ＯＣ函数不相同，且前者小于后者。     

连续抽样方案的中止检查规则

本文借助于转移概率流向图及马尔可夫链的方法，证明了将仅在全检期间检出不合格品时才可能中止检查的中止检查规则添加在适用于被提交产品总数为无穷的各类连续抽样方案中，将不改变这些方案原有的基本统计特性。     

带有中止检查规则（n－i）的CSP－1方案

本文引人转移概率母函数及幂级数等方法讨论带有中止规则（ｎ＊－ｉ）的连续抽样方案ＣＳＰ－１的中止概率Ｐ＊得到了Ｐ＊作为ＣＳＰ－１方案的度量的理论特性，证明了Ｄｏｄｇｅ型ＣＳＰ－１方案与带有中止规则（ｎ＊－ｉ）的ＣＳＰ－１方案具有相同的ＡＯＱ，ＡＦＩ，ＯＣ函数．文末还给出了一些数值结果．     

Boundaries and Harmonic Functions for Random Walks with Random Transition Probabilities

The usual random walk on a group (homogeneous both in time and in space) is determined by a probability measure on the group. In a random walk with random transition probabilities this single measure is replaced with a stationary sequence of measures, so that the resulting (random) Markov chains are still space homogeneous, but no longer time homogeneous. We study various notions of measure theoretical boundaries associated with this model and establish an analogue of the Poisson formula for (random) bounded harmonic functions. Under natural conditions on transition probabilities we identify these boundaries for several classes of groups with hyperbolic properties and prove the boundary triviality (i.e., the absence of non-constant random bounded harmonic functions) for groups of subexponential growth, in particular, for nilpotent groups.     

具有随机控制函数的受控分枝过程

本文研究了具有随机控制函数的受控分枝过程的各类概率母函数间的关系.利用对概率母函数求导的方法,获得了过程的期望和方差,推广了该过程概率母函数和矩量的一些基本结果.     

Performance Analysis for Mobile Ad Hoc Network in Random Graph Models with Spatial Reuse

In this paper,we present a random graph model with spatial reuse for a mobile ad hoc network(MANET) based on the dynamic source routing protocol.Many important performance parameters of theMANET are obtained,such as the average flooding distance (AFD),the probability generating function of theflooding distance,and the probability of a flooding route to be symmetric.Compared with the random graphmodel without spatial reuse,this model is much more effective because it has a smaller value of AFD and alarger probability for finding a symmetric valid route.     

Galton-Watson分支过程的谱半径的概率刻画

谱半径是不可约马尔可夫链的一个很重要的特征数字.Galton-Watson分支过程是一类特殊的马尔可夫链,我们已经证明了在不可约的条件下,Galton-Watson分支过程的谱半径等于其对应的概率母函数f(s)在灭绝概率q点的导数值.本文主要从理论上刻画从过程的任何状态逃离速度的Galton-Watson分支过程的谱半径的概率意义.     

Estimation in integer‐valued moving average models

The paper presents new characterizations of the integer‐valued moving average model. For four model variants, we give moments and probability generating functions. Yule–Walker and conditional least‐squares estimators are obtained and studied by Monte Carlo simulation. A new generalized method of moment estimator based on probability generating functions is presented and shown to be consistent and asymptotically normal. The small sample performance is in some instances better than those of alternative estimators. Copyright © 2001 John Wiley & Sons, Ltd.     

Bisexual Galton‐Watson Branching Process in Varying Environments

Abstract

In this paper we introduce a bisexual Galton‐Watson branching process (BGWP) in which the offspring probability distribution is different in each generation. We obtain some relations among the probability generating functions (pgf) involved in the model and, making use of mean growth rates and fractional linear functions (flf), we provide sufficient and necessary conditions for its almost sure extinction.     

Probability Distribution Functions of Succession Quotas in the Case of Markov Dependent Trials

The exact probability distribution functions (pdf's) of the sooner andlater waiting time random variables (rv's) for the succession quota problemare derived presently in the case of Markov dependent trials. This is doneby means of combinatorial arguments. The probability generating functions(pgf's) of these rv's are then obtained by means of enumerating generatingfunctions (enumerators). Obvious modifications of the proofs provideanalogous results for the occurrence of frequency quotas and such a resultis established regarding the pdf of a frequency and succession quotas rv.Longest success and failure runs are also considered and their jointcumulative distribution function (cdf) is obtained.