A test of homogeneity for age-dependent branching processes with immigration
نویسندگان
چکیده
منابع مشابه
Limit Theorems for Subcritical Age-dependent Branching Processes with Two Types of Immigration
For the classical subcritical age-dependent branching process the effect of the following two-type immigration pattern is studied. At a sequence of renewal epochs a random number of immigrants enters the population. Each subpopulation stemming from one of these immigrants or one of the ancestors is revived by new immigrants and their offspring whenever it dies out, possibly after an additional ...
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We consider a branching process with Poissonian immigration where individuals have inheritable types. At rate θ, new individuals singly enter the total population and start a new population which evolves like a supercritical, homogeneous, binary Crump-Mode-Jagers process: individuals have i.i.d. lifetimes durations (non necessarily exponential) during which they give birth independently at cons...
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A general multi-type branching process where new individuals immigrate according to some point process is considered. An intrinsic submartingale is defined and a convergence result for processes counted with random characteristics is obtained. Some examples are given. GENERAL BRANCHING PROCESS; MULTI-TYPE; IMMIGRATION AMS 1991 SUBJECT CLASSIFICATION: PRIMARY 60180
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This is a survey on recent progresses in the study of branching processes with immigration, generalized Ornstein-Uhlenbeck processes and affine Markov processes. We mainly focus on the applications of skew convolution semigroups and the connections in those processes.
متن کاملBackbone decomposition for continuous-state branching processes with immigration
In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: MSC: 60J80 60E10 Keywords: Backbone decomposition N-measure Continuous state branching process with immigration a b s t r a ...
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ژورنال
عنوان ژورنال: Electronic Journal of Statistics
سال: 2015
ISSN: 1935-7524
DOI: 10.1214/15-ejs1024