It is well known that the convolution equivalent distributions have wide and important applications in risk theory, queueing system, branching process and infinite devisibility and so on. 周知,卷积等价族在风险理论,排队系统,分支过程,无穷可分分布等领域有重要的应用,因而受到广泛的重视。
The Controlled Branching Process with Random Control Function in Random Environments 随机环境中具有随机控制函数的受控分枝过程
Start the branching process by using the new team project wizard to create the second team project. 使用“新建团队项目向导”创建第二个团队项目,开始分支过程。
The linear controlled branching process in random environment 随机环境中的线性控制分枝链
Branching Diffusion Process and Schrodinger Equation 分枝扩散过程与Schrodinger方程
With a reasonable hypothesis and a limit procedure the random distribution of the particles at certain time can be described by a measure-valued branching process. 通过合理的假设和极限过程,粒子在空间的散布可由一测度值分枝过程来刻划。
The Model and Existence of Branching Process in Random Environment 随机环境中的分支过程的模型及存在性
Pre-dual Process of Markov Branching Process 分支过程的前对偶过程
The definition of linear controlled branching process in random environment is introduced, and the relations of all kinds of generating functions are studied. 引进了随机环境中线性控制分枝链的概念,讨论了各类母函数的关系,并用生成母函数精确表达了其他母函数;
Let { z n| n ∈ N 0} be a linear controlled branching process and y n be the total number of all members up to n th generation, including n th generation. 设{znn∈N0}为线性调控分枝过程,yn为到第n代为止(含第n代)的所有成员总数。
Finally, the tool of martingale is used to study the proliferation rate of linear controlled branching process in a random environment. 基于以上的结果,采用鞅方法,严格表达了随机环境中线性控制分枝链的增殖速度。
Multi-Type Branching Process 多类型分枝过程
In this CPM programme, resource-based precedence relationships resulted from the resource assignments are added to a programme during the branching process as soft relationships to distinguish them from technological relationships in a traditional CPM programme. 在该CPM施工进度计划中,在分枝过程中由资源分配所产生的“资源使用顺序关系”作为软逻辑关系添加到CPM计划中,以便和工艺逻辑关系相区别。
The present paper mainly approach involves the asymptotic behaviors of this measure-valued branching process, and further the absolute continuity for its state at certain time is also demonstrated. 本文主要研究这类测度值分枝过程长时间的渐近行为即灭绝和非灭绝性以及特定时间所处状态的测度的绝对连续性。
The entropy indices of QCD branching process are calculated from the data of 400GeV/ c pp collisions. The nonzero values of entropy indices are obtained. The entropy indices are increased with decreasing average multiplicity's of the final states. 利用400GeV/cpp碰撞多粒子产生的实验数据计算了QCD分支过程的熵指数,得到了非零值,熵指数随末态粒子平均多重数的减小而增大。
In this paper the evolution of bird populations is simulated as a branching process in random environments. 以随机环境分枝过程模拟鸟类繁衍过程中种群大小的演变。
Application of Branching Process in Epidemic Modeling 分支过程在传染病模型中的应用
Properties of Probability for Linear Controlled Branching Process in Random Environment 随机环境中线性控制分枝链的概率性质
The strong law of large numbers and the invariant principle of Markov chain in random environment, and the growth rate of multi-type branching process in random environment. 随机环境中多维分枝链的增长率。
Markov Branching Process is one of extremely important stochastic process, it is very widely used. 分支过程是一类非常重要且应用广泛的随机过程。
The paper mainly considers a special kind of branching process, that is the collision branching process with instantaneous resurrection. 文章主要研究了一类特殊的分枝过程,即带瞬态拯救的碰撞分枝过程。
This paper studies the extinction of branching process in varying environments. 本文研究变化环境下分枝过程与灭绝有关的几个基本性质。
The axillary branching process generally involves two developmental stages: the formation of axillary meristems in the leaf axils and subsequent axillary bud growth. 植物的侧枝发生一般分为两个步骤:在叶腋处形成侧芽原基,随后侧芽原基生长发育成侧枝。
Since the classical branching processes is proposed, Branching process has developed both from simpleness to the complex, and from unitarily to multiplicity for more than one century. 从经典分支过程的提出到今天,分支过程已经发展了一个多世纪,经历了从简单到复杂的发展历程,逐渐从单一性走向多样性。
Based on a latest static parameter branching process model, this research improves the parameters and build a dynamic parameter branching process model. 在一个最近提出的静态参数分支过程模型的基础上,改进了模型参数,建立了随机性的动态参数分支过程模型。
In this foundation we considered a modified Markov Branching Process incorporation with both state independent immigration and migration by means of changing the q-matrix. 本文在定义经典分支过程的基础上,通过改变q-矩阵的状态讨论了一类状态独立的移民分支过程。
Branching process, as an important branch of stochastic process, is widely used. 分支过程作为应用随机过程中一个重要的分支,其应用领域相当广泛。
Markov branching process ( MBPS) is a very important stochastic process in the process of branch, it has extensive application in many natural science and edge science, such as, medicine, queuing theory, modern physics, biology maths and so on. 马尔可夫分枝过程(MBPS)是一个非常重要的随机过程,在医学、排队论、现代物理、生物数学等等许多自然科学和边缘科学中都有着广泛的应用。
So, we can say the classical branching process is the foundation of other branching processes. 可以说,经典分支过程是其它分支过程的基础。