On the discrepancy of Markov-normal sequences

M. B. Levin

Displaying similar documents to “On the discrepancy of Markov-normal sequences”

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Petr Mandl (1979)

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On convergence of homogeneous Markov chains

Petr Kratochvíl (1983)

Aplikace matematiky

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Let $p_{t}$ be a vector of absolute distributions of probabilities in an irreducible aperiodic homogeneous Markov chain with a finite state space. Professor Alladi Ramakrishnan conjectured the following strict inequality for norms of differences $∥p_{t + 2} - p_{t + 1}∥ < ∥p_{t + 1} - p_{t}∥$ . In the paper, a necessary and sufficient condition for the validity of this inequality is proved, which may be useful in investigating the character of convergence of distributions in Markov chains.

On the strong Cesàro summability of double orthogonal series

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F. Móricz (1985)

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On the a.e. Divergence of the arithmetic means of double orthogonal series

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Nonconvolution transforms with oscillating kernels that map $Ḃ_{1}^{0, 1}$ into itself

G. Sampson (1993)

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We consider operators of the form $(Ω f) (y) = ʃ_{- \infty}^{\infty} Ω (y, u) f (u) d u$ with Ω(y,u) = K(y,u)h(y-u), where K is a Calderón-Zygmund kernel and $h \in L^{\infty}$ (see (0.1) and (0.2)). We give necessary and sufficient conditions for such operators to map the Besov space $Ḃ_{1}^{0, 1}$ (= B) into itself. In particular, all operators with $h (y) = e^{{i | y |}^{a}}$ , a > 0, a ≠ 1, map B into itself.

On the existence of series solution of differential equations of generalized order

Al-Bassam, M.A. (1970)

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On nearly selfoptimizing strategies for multiarmed bandit problems with controlled arms

Ewa Drabik (1996)

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Two kinds of strategies for a multiarmed Markov bandit problem with controlled arms are considered: a strategy with forcing and a strategy with randomization. The choice of arm and control function in both cases is based on the current value of the average cost per unit time functional. Some simulation results are also presented.