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Asymptotic expansions of the variance of the number of minimal points are given in (3). Thus the strong records are much more rare and the weak records are much more frequent than
Central limit theorems for Markov chains are considered, and in particular the relationships between various expressions for asymptotic variance known from the literature.. These
Liptser, Asymptotic stability of the Wonham filter: ergodic and nonergodic signals, SIAM J.. Blackwell, The entropy of functions of finite-state Markov chains, in Transactions of
In [6] homogeneous fragmentations are rather defined as exchangeable Markov processes whose semi-group have the fragmentation and homogeneity properties.. 3.2
Keywords: Pinning Model; Polymer Model; Linear Chain Model; Phase Transition; Localization Phenomena; Gradient Interaction; Laplacian Interaction; Free Energy; Markov
We present a tail inequality for suprema of empirical processes generated by vari- ables with finite ψ α norms and apply it to some geometrically ergodic Markov chains to derive
We prove the law of large numbers for U–statistics whose underlying sequence of random variables satisfies an absolute regularity condition ( β –mixing condition) under suboptimal
This version of the algorithm Context does not distinguish transition probabilities which are closer than the threshold level used in the pruning decision. Our first theorem proves