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Accelerated Regeneration for Markov Chain Simulations
Accelerated Regeneration Markov Chain Simulations
2015/7/8
This paper describes a generalization of the classical regenerative method of simulation output analysis. Instead of blocking a generated sample path on returns to a fixed return state, a more general...
On the Small-Sample Optimality of Multiple-Regeneration Estimators
Small-Sample Optimality Multiple-Regeneration Estimators
2015/7/8
We describe a simulation output analysis methodology suitable for stochastic processes that are regenerative with respect to multiple regeneration sequences. Our method exploits this structure to cons...
Wide-sense Regeneration for Harris Recurrent Markov Processes: An Open Problem
Harris recurrence Markov chains Markov processes regeneration renewal theory
2015/7/6
Harris recurrence is a widely used tool in the analysis of queueing systems. For discrete time Harris chains, such systems automatically exhibit wide-sense regenerative structure, so that renewal theo...
A Regeneration Proof of the Central Limit Theorem for Uniformly Ergodic Markov Chains
Central limit theorem function Markov chain
2009/3/19
Central limit theorems for functionals of general state space Markov chains are of crucial importance in sensible implementation of Markov chain Monte Carlo algorithms as well as of vital theoretical ...