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Perfect Simulation (Paperback)
Loot Price: R1,942
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Perfect Simulation (Paperback)
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Exact sampling, specifically coupling from the past (CFTP), allows
users to sample exactly from the stationary distribution of a
Markov chain. During its nearly 20 years of existence, exact
sampling has evolved into perfect simulation, which enables
high-dimensional simulation from interacting distributions. Perfect
Simulation illustrates the application of perfect simulation ideas
and algorithms to a wide range of problems. The book is one of the
first to bring together research on simulation from statistics,
physics, finance, computer science, and other areas into a unified
framework. You will discover the mechanisms behind creating perfect
simulation algorithms for solving an array of problems. The author
describes numerous protocol methodologies for designing algorithms
for specific problems. He first examines the commonly used
acceptance/rejection (AR) protocol for creating perfect simulation
algorithms. He then covers other major protocols, including CFTP;
the Fill, Machida, Murdoch, and Rosenthal (FMMR) method; the
randomness recycler; retrospective sampling; and partially
recursive AR, along with multiple variants of these protocols. The
book also shows how perfect simulation methods have been
successfully applied to a variety of problems, such as Markov
random fields, permutations, stochastic differential equations,
spatial point processes, Bayesian posteriors, combinatorial
objects, and Markov processes.
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