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About the density of spectral measure of the two-dimensional SaS random vector

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Borowiecka-Olszewska M., Misiewicz J.

Discussiones Mathematicae Probability and Statistics

2003

tom 23

nr 1

77-81

In this paper, we consider a symmetric α-stable p-sub-stable two-dimensional random vector. Our purpose is to show when the function $exp{-(|a|p + |b|p)^{α/p}}$ is a characteristic function of such a vector for some p and α. The solution of this problem we can find in [3], in the language of isometric embeddings of Banach spaces. Our proof is based on simple properties of stable distributions and some characterization given in [4].

Ograniczanie wyników

1 Discussiones Mathematicae Probability and Statistics

1 Borowiecka-Olszewska M.

1 Misiewicz J.

1 2003

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About the density of spectral measure of the two-dimensional SaS random vector