Abstract The multiple-try Metropolis method is an interesting extension of the classical Metropolis–Hastings algorithm. However, theoretical understanding about its usefulness and convergence behavior still lacking. We here derive exact rate for Independent sampler (MTM-IS) via explicit eigen analysis. As a by-product, we prove that naive application MTM-IS less efficient than using simpler app...

In this paper, a new criterion for the evaluation of theoretical efficiency greedy algorithm is suggested. Using criterion, we prove some results on rate convergence algorithms, which provide expansions. We consider both case Hilbert spaces and more general Banach spaces. The component paper that bound error approximation by product two norms—the norm f A1-norm f. Typically, only used. particul...

This paper studies how long it takes the orbit of chaos game to reach a certain density inside attractor strictly contracting iterated function system which we only assume that its lower dimension is positive. We show rate growth this cover time determined by Minkowski push-forward shift invariant measure with exponential decay correlations driving game. Moreover, bound expected value from abov...