Search Results - subject:"Branching Process"

Splitting trees with neutral Poissonian mutations II: Largest and oldest families

Champagnat, Nicolas; Lambert, Amaury - In: Stochastic Processes and their Applications 123 (2013) 4, pp. 1368-1414

We consider a supercritical branching population, where individuals have i.i.d. lifetime durations (which are not necessarily exponentially distributed) and give birth (singly) at constant rate. We assume that individuals independently experience neutral mutations, at constant rate θ during...

Persistent link: https://www.econbiz.de/10011065053

Theoretical estimation of metabolic network robustness against multiple reaction knockouts using branching process approximation

Takemoto, Kazuhiro; Tamura, Takeyuki; Akutsu, Tatsuya - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 21, pp. 5525-5535

In our previous study, we showed that the branching process approximation is useful for estimating metabolic robustness …, measured using the impact degree. By applying a theory of random family forests, we here extend the branching process …

Persistent link: https://www.econbiz.de/10010742337

Estimation of the mean for critical branching process and its bootstrap approximation

Yang, Xiao-Rong - In: Metrika 76 (2013) 6, pp. 831-846

This article focuses attention on the estimation of the mean of a sequence of branching process with immigration in the …

Persistent link: https://www.econbiz.de/10010995196

Convergence rate of the limit theorem of a Galton–Watson tree with neutral mutations

Chen, Xinxin - In: Statistics & Probability Letters 83 (2013) 2, pp. 588-595

We consider a Galton–Watson branching process with neutral mutations (infinite alleles model), and we decompose the … limit in law is a certain continuous state-space branching process (CSBP). In the present work, we obtain a Central Limit …

Persistent link: https://www.econbiz.de/10010602920

Analysis of the impact degree distribution in metabolic networks using branching process approximation

Takemoto, Kazuhiro; Tamura, Takeyuki; Cong, Yang; … - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 1, pp. 379-387

impact degrees from metabolic network structures using the theory of branching process. We demonstrate the relevance of this …

Persistent link: https://www.econbiz.de/10010872158

Subcritical branching processes in a random environment without the Cramer condition

Vatutin, Vladimir; Zheng, Xinghua - In: Stochastic Processes and their Applications 122 (2012) 7, pp. 2594-2609

A subcritical branching process in random environment (BPRE) is considered whose associated random walk does not …

Persistent link: https://www.econbiz.de/10010875054

Moments, moderate and large deviations for a branching process in a random environment

Huang, Chunmao; Liu, Quansheng - In: Stochastic Processes and their Applications 122 (2012) 2, pp. 522-545

Let (Zn) be a supercritical branching process in a random environment ξ, and W be the limit of the normalized …

Persistent link: https://www.econbiz.de/10011064888

Splitting trees with neutral Poissonian mutations I: Small families

Champagnat, Nicolas; Lambert, Amaury - In: Stochastic Processes and their Applications 122 (2012) 3, pp. 1003-1033

We consider a neutral dynamical model of biological diversity, where individuals live and reproduce independently. They have i.i.d. lifetime durations (which are not necessarily exponentially distributed) and give birth (singly) at constant rate b. Such a genealogical tree is usually called a...

Persistent link: https://www.econbiz.de/10011064982

Backbone decomposition for continuous-state branching processes with immigration

Kyprianou, A.E.; Ren, Y.-X. - In: Statistics & Probability Letters 82 (2012) 1, pp. 139-144

-state branching process with a general branching mechanism and general immigration mechanism is equivalent in law to a continuous …

Persistent link: https://www.econbiz.de/10011039894

A statistical framework for the analysis of multivariate infectious disease surveillance data

Held, Leonhard; Höhle, Michael; Hofmann, Mathias - 2004

simplest form, the model can be seen as a Poisson branching process model with immigration. Extensions to include seasonal …

Persistent link: https://www.econbiz.de/10010266152