泊松过程

In this paper, a self-adaptive algorithm is presented based on Poisson process analysis, which can adjust the revisiting pattern and revisiting frequency according to the estimated change frequency. This algorithm can also tune the parameters so that the estimated value will fall into the best applicable range of the estimator.

在此，基于泊松过程进行分析，对估测器的适用范围进行了讨论，根据估测结果的偏离值和有效性对估测公式进行参数调整，同时根据估测值的大小不断调整数据源的访问频率和次数，从而使数据源访问模式和估测器互相适应，使估测器在最佳估测范围内获得估测值。

Because the time series generated from finite difference equation with chaos may also possess exponential distribution of probability density. Additionally, irregular dynamics has ever been attributed to the presence of stochastic noise in many systems, but actually it may result from chaotic process in deterministic system.

近年来对非线性动力系统的深入研究发现：观察到某一过程具有指数型概率密度事件分布并不足以确定它就是泊松过程，由具有混沌行为的有限差分方程所产生的时间序列也可具有指数型概率密度分布；在许多系统中，过去归因于随机噪声的不规则动力学特性，实际上很有可能是由确定性系统中的混沌过程所致。

Studies on statistical properties of spontaneous spike trains of single auditory nerve have shown that the distributing patterns of interval in spike trains represent Poisson distribution. Since Poisson distribution is one of the simplest stochastic processes, previous studies on spontaneous spike trains of single auditory nerve were performed primarily by assuming them as stochastic processes. Recently, further studies on nonlinear dynamic system show that we have not enough evidence to demonstrate the process, whose distribution of probability density is exponential, is Poisson process.

中文题名豚鼠听神经单纤维放电序列的非线性特性分析副题名外文题名 Analysis on nonlinear properties in spike trains of single auditory nerve fiber in guinea pig 论文作者林龙年导师孙心德教授学科专业生理学研究领域\研究方向听觉神经生物学学位级别博士学位授予单位华东师范大学学位授予日期2001 论文页码总数91页关键词听神经听觉神经生理豚鼠馆藏号BSLW /2001 /Q42 /41 对听神经单纤维自发放电序列的统计特性研究表明，听神经单纤维放电间隔呈泊松分布，而泊松过程是最简单的随机过程之一，因此以往的研究主要将听神经单纤维自发放电序列作为随机过程来处理。

This paper proposes a software reliability growth model that consider software failure dependency and differences of testing and operational environment.

文中提出了一种随机过程类非齐次泊松过程中的考虑故障相关性、测试环境和运行环境差别的模型。

Based on fuzzy feature that the concrete crack width affects concrete structure durability, the membership function that the crack width belongs to the durability failure is established, the calculation method of fuzzy probability about structure durability failure is submitted, and classifing standard of the sturucture durability state is proposed, In accordance with the stochastic nature that cracks on concrete bridges occur and grow, and by assuming that crack occurrence obeys nonstable Poission process, predicting and evaluating methods about future crack condition and durability state of concrete bridge structures are suggested.

依混凝土裂缝宽度对混凝土结构耐久性影响的模糊特性，建立了裂缝宽度隶属耐久性失效的隶属函数，提出了结构耐久性失效的模糊概率计算方法，并建议了结构耐久性状态的划分标准；针对混凝土桥梁裂缝发生、发展的随机性，以裂缝的发生服从非稳态的泊松过程的假设为前提，提出了混凝土桥梁结构裂缝未来状况及耐久性未来状态的预测评估方法。

Topics include the Poisson process, Markov chains, renewal theory, models for queuing and reliability.

工程随机过程介绍：泊松过程，马尔可夫脸，更新理论，排队模型和可靠性。

The major topics are: Poisson process, renewal process, discrete time and continuous time Markov chains, stationary process, Brown motion and stochastic integral introduction

本课程的主要内容包括泊松过程与更新过程、离散时间与连续时间的马尔可夫链、平稳过程、布朗运动与随机积分初步。

The problem has been studied from two sides, firstly, from the viewpoint of applicability, based on the development strategic objectives of the oil company, with the aim to unify the exploration and extraction decisions of the resources in an integrated framework, and integrate the macro economic and technical objectives with micro economic and technical models of an oil well, an integrated non-linear dynamic optimal control model has been constructed, the objective is the benefit maximum of the exploration and extraction of the resources, and the optimalstrategies are obtained by changing the problem into a non-linear mathematical programming problem, on the other hand, from the more macro level, based on the analysis of the characteristics of the exploration and extraction activities of oil and gas resources, a conclusion is easily deduced that the procedure is full of randomicity, then discovering procedure of oil deposit is proved to be a Poisson process, and the reserves process is a supermartingale process, so the model of exploration discovery rate and the reserves model could be constructed.

其次从相对更宏观的层次上，通过对油气资源勘探与开发的特点分析，认为具有很强的随机性，证明了勘探活动发现油气藏的过程为一泊松过程，所发现的油气藏储量为一上鞅过程，在此基础上，建立了油气藏勘探发现率模型及储量模型，在油气价格服从几何布朗运动条件下，以油气开采收益最大化为目标，建立了一个油气资源勘探与开发的随机最优控制模型，采用动态规划方法得到了值函数的HJB方程，并针对方程的特点，以及方程及其变量所对应的经济学意义，对最优策略的求解进行了一些讨论。

Normal process, process with independent increaments,Wiener process, Poisson process, renewal process.

正态过程，独立增量过程，维纳过程，泊松过程，更新过程。

The main work of this thesis is the discussion of the multiple life actuarial reserve under the stochastic rate,and the rate is modeling by Wiener process and Possion process.

本文的主要工作就是对利息力采用维纳过程和泊松过程联合建模，由此得到两类联合寿险准备金的表达式。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。