6 citations · 14 across the 8 of their papers we have counts for
8 papers
-linked coupling for drifting Brownian motions
Motoya Machida
We raise a question on whether a dynamical system driven by Markov process is Markovian, for which we are able to propose a criterion and examples of positive case. This investigat…
Scott functions, their representations on domains, and applications to random sets
Motoya Machida, Alexander Shibakov
Choquet theorems (1954) on integral representation for capacities are fundamental to probability theory. They inspired a growing body of research into different approaches and gene…
Stack and register complexity of radix conversions
Motoya Machida, Alexander Shibakov
We investigate the question of computational resources (such as stacks and counters) necessary to perform radix conversions. To this end it is shown that no PDA can compute the sig…
Capacities on a finite lattice
Motoya Machida
In his influential work Choquet systematically studied capacities on Boolean algebras in a topological space, and gave a probabilistic interpretation for completely monotone (and c…
Extension of Fill's perfect rejection sampling algorithm to general chains (Extended abstract)
James Allen Fill, Motoya Machida, Duncan J. Murdoch +1
We provide an extension of the perfect sampling algorithm of Fill (1998) to general chains, and describe how use of bounding processes can ease computational burden. Along the way,…
Extension of Fill's perfect rejection sampling algorithm to general chains
James Allen Fill, Motoya Machida, Duncan J. Murdoch +1
By developing and applying a broad framework for rejection sampling using auxiliary randomness, we provide an extension of the perfect sampling algorithm of Fill (1998) to general…