Functional central limit theorems for seeds in a linear birth and growth model

• Autorzy: A. Dziwisz , W. Szczotka
• Języki publikacji: EN

Abstrakty

EN

A problem of heredity of mixing properties (α-mixing, β-mixing and ρ-mixing) from a stationary point process on ℝ × ℝ₊ to a sequence of some of its points called 'seeds' is considered. Next, using the mixing properties, several versions of functional central limit theorems for the distances between seeds and the process of the number of seeds are obtained.

Kategorie tematyczne

• 60F17: Functional limit theorems; invariance principles
• 60G55: Point processes

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2016
• Tom: 43
• Numer: 1
• Strony: 1-24

Daty

wydano

2016

Twórcy

autor

A. Dziwisz

• Institute of Mathematics, University of Wrocław, 50-384 Wroclaw, Poland

autor

W. Szczotka

• Institute of Mathematics, University of Wrocław, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/am2283-2-2016