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Note on the variance of the sum of Gaussian functionals

100%

Beśka M.

Applicationes Mathematicae

2010

tom 37

nr 2

231-236

Let $(X_i, i=1,2,...)$ be a Gaussian sequence with $X_i ∈ N(0,1)$ for each i and suppose its correlation matrix $R=(ρ_{ij})_{i,j≥ 1}$ is the matrix of some linear operator R:l₂→ l₂. Then for $f_i ∈ L²(μ)$, i=1,2,..., where μ is the standard normal distribution, we estimate the variation of the sum of the Gaussian functionals $f_i(X_i)$, i=1,2,... .

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Convexity and variation diminishing property for Bernstein polynomials in higher dimensions

100%

Beśka M.

Banach Center Publications

1989

tom 22

nr 1

45-53

Note on the multidimensional Gebelein inequality

63%

Beśka M., Wałachowska A.

Applicationes Mathematicae

2013

tom 40

nr 1

91-97

We generalize the Gebelein inequality for Gaussian random vectors in $ℝ^d$.

Ograniczanie wyników

2 Applicationes Mathematicae

1 Banach Center Publications

3 Beśka M.

1 Wałachowska A.

1 2013

1 2010

1 1989

Wyniki wyszukiwania

Note on the variance of the sum of Gaussian functionals

Convexity and variation diminishing property for Bernstein polynomials in higher dimensions

Note on the multidimensional Gebelein inequality