Domains of attraction on Sturm-Liouville hypergroups of polynomial growth

• Autorzy: Scheffler H. - P. , Zeuner HM.
• Języki publikacji: EN

Abstrakty

EN

Let (Sn : n≥ 0) be a random walk on a hypergroup (R+, *) of polynomial growth. We show that the possible limit laws of the form cn • Sn→ μ, (weakly), cn > 0, are the stable laws of the Bessel-Kingman hypergroup (wzór) for a specific α ≥ - 1/2 depending on the growth of the hypergroup. Furthermore we describe the domain of attraction (with respect to the convolution *) of these stable laws in terms of the regular variation of the Fourier transform.

Słowa kluczowe

EN

domain of attraction; stable measure; randomized sum; random walk; Sturm-Liouville hypergroup

PL

obszar przyciągania; stabilna miara; randomizowana suma; błądzenie przypadkowe; hipergrupa Sturm-Liouville

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 1999
• Tom: Vol. 5, nr 2
• Strony: 153--170
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Scheffler H. - P.

• Fachbereich Mathematik der Universität Dortmund Vogelpothsweg 87 D-44221 Dortmund, Germany

autor

Zeuner HM.

• Fachbereich Mathematik der Universität Dortmund Vogelpothsweg 87 D-44221 Dortmund, Germany

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