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Discrepancy estimates for variance bounding Markov chain quasi-Monte Carlo

Discrepancy estimates for variance bounding Markov chain quasi-Monte Carlo

Markov chain Monte Carlo (MCMC) simulations are modeled as driven by true random numbers. We consider variance bounding Markov chains driven by a deterministic sequence of numbers. The star-discrepancy provides a measure of efficiency of such Markov chain quasi-Monte Carlo methods. We define a pull-back discrepancy of the driver sequence …