On Additive Transformation based Markov Chain Monte Carlo
Kushal Dey
Broschiertes Buch

On Additive Transformation based Markov Chain Monte Carlo

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In this book, we introduce a single variable transformation based Markov Chain Monte Carlo approach for simulating from distributions with appreciable dimensional and computational complexity. We present here an introduction and theoretical background to this method, focussing mainly on ergodic behavior (in particular geometric ergodicity) and scaling properties under a large class of target distributions. We also propose an R software (tmcmcR) for modeling our algorithm as well adaptive versions of the algorithm and through our wide ranging simulation studies, show the performance gain of thi...