A renewal-process-type expression for the moments of inverse subordinators
A renewal-process-type expression for the moments of inverse subordinators
复制标题
逆从属矩的更新过程型表达式
DOI：
10.1239/jap/1134587822
复制
发表时间：
2005
影响因子：
1
通讯作者：
Andreas N. Lagerås
中科院分区：
文献类型：
--
作者：
Andreas N. Lagerås
本文由四篇论文组成：第一篇证明了马氏链在（局部）压缩条件下的中心极限定理。作为推论，我们得到了具有压缩映射和位置依赖Dini-连续概率的迭代函数系统的马氏链的中心极限定理。在文献2中，我们研究了逆从属的性质，特别是与更新过程的相似性。本文的主要工具是关于更新过程和考克斯过程的一个定理。不朽分枝过程的边缘分布是复合几何分布.在文4中，给出了一个动态种群模型的描述，使得种群中的样本具有一个带有突变的Lambda-聚结所给出的谱系.根据样本是否根据窝或家庭分组，采样分布是再生或非再生。
This thesis consists of four papers.In paper 1, we prove central limit theorems for Markov chains under (local) contraction conditions. As a corollary we obtain a central limit theorem for Markov chains associated with iterated function systems with contractive maps and place-dependent Dini-continuous probabilities.In paper 2, properties of inverse subordinators are investigated, in particular similarities with renewal processes. The main tool is a theorem on processes that are both renewal and Cox processes.In paper 3, distributional properties of supercritical and especially immortal branching processes are derived. The marginal distributions of immortal branching processes are found to be compound geometric.In paper 4, a description of a dynamic population model is presented, such that samples from the population have genealogies as given by a Lambda-coalescent with mutations. Depending on whether the sample is grouped according to litters or families, the sampling distribution is either regenerative or non-regenerative.