Advances in Applied Probability · 1998 · 10 citations · 2 references
EngineeringMathematicsProbability TheoryStochastic ProcessesBranching ProcessesDiffusion ProcessesLaw Of Large NumbersLimit TheoremsMarkov ChainsMarkov ProcessesBranching Markov ChainsEmpirical Cumulative Distribution FunctionEmpirical DistributionEmpirical Distribution FunctionsEmpirical Process Limit TheoremsGalton-watson ProcessesLimit Theorems For Markov ChainsMarkov Branching Processes
In this paper we consider a Galton-Watson process in which particles move according to a positive recurrent Markov chain on a general state space. We prove a law of large numbers for the empirical position distribution and also discuss the rate of this convergence.
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Applied Probability and Queues
Upendra Dave · Journal of the Operational Research Society · 1987 · 167 citations