A strong mixing condition for second-order stationary random fields

Raymond Cheng

Displaying similar documents to “A strong mixing condition for second-order stationary random fields”

Two problems in prediction theory

Takahiko Nakazi (1984)

Studia Mathematica

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Inequalities between the sum of powers and the exponential of sum of positive and commuting selfadjoint operators

Berrabah Bendoukha, Hafida Bendahmane (2011)

Archivum Mathematicum

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Let $ℬ (ℋ)$ be the set of all bounded linear operators acting in Hilbert space $ℋ$ and $ℬ^{+} (ℋ)$ the set of all positive selfadjoint elements of $ℬ (ℋ)$ . The aim of this paper is to prove that for every finite sequence ${(A_{i})}_{i = 1}^{n}$ of selfadjoint, commuting elements of $ℬ^{+} (ℋ)$ and every natural number $p \geq 1$ , the inequality $\frac{e^{p}}{p^{p}} (\sum_{i = 1}^{n} A_{i}^{p}) \leq exp (\sum_{i = 1}^{n} A_{i}),$ holds.

Metric entropy and the central limit theorem in $C (S)$

R. M. Dudley (1974)

Annales de l'institut Fourier

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Central limit theorems with hypotheses in terms of $ϵ$ -entropy are proved first in $C (S)$ where $S$ is a compact metric space and then in an arbitrary separable Banach space.

A note on the Ehrhard inequality

Rafał Latała (1996)

Studia Mathematica

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We prove that for λ ∈ [0,1] and A, B two Borel sets in $ℝ^{n}$ with A convex, $Φ^{- 1} (γ_{n} (λ A + (1 - λ) B)) \geq λ Φ^{- 1} (γ_{n} (A)) + (1 - λ) Φ^{- 1} (γ_{n} (B))$ , where $γ_{n}$ is the canonical gaussian measure in $ℝ^{n}$ and $Φ^{- 1}$ is the inverse of the gaussian distribution function.

Idele characters in spectral synthesis on $𝐑 / 2 π 𝐙$

John J. Benedetto (1973)

Annales de l'institut Fourier

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Let $s \in C$ , $x \in R / 2 π Z$ . We construct Dirichlet series $F (x, x)$ where for each fixed $s$ in a half plane, $Re F (x, x)$ , as a function of $x$ , is a non-synthesizable absolutely convergent Fourier series. Because of the way the frequencies in $F$ are chosen, we are motivated to introduce a class of synthesizable absolutely convergent Fourier series which are defined in terms of idele characters. We solve the “problem of analytic continuation” in this setting by constructing pseudo-measures, determined by idele characters, when...

Limit theorems for subcritical branching processes in random environment

Jochen Geiger, Götz Kersting, Vladimir A. Vatutin (2003)

Annales de l'I.H.P. Probabilités et statistiques

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Displaying similar documents to “A strong mixing condition for second-order stationary random fields”

Two problems in prediction theory

Inequalities between the sum of powers and the exponential of sum of positive and commuting selfadjoint operators

Metric entropy and the central limit theorem in C ( S )

A note on the Ehrhard inequality

Idele characters in spectral synthesis on 𝐑 / 2 π 𝐙

Limit theorems for subcritical branching processes in random environment

Metric entropy and the central limit theorem in $C (S)$

Idele characters in spectral synthesis on $𝐑 / 2 π 𝐙$