Object structure

Publication Details:

«ՀՀ ԳԱԱ Տեղեկագիր: Մաթեմատիկա»-ն լույս է տեսնում 1966 թվականից՝ տարին 6 անգամ։

Journal or Publication Title:

ՀՀ ԳԱԱ Տեղեկագիր: Մաթեմատիկա =Известия НАН Армении: Математика =Proceedings of the NAS Armenia: Mathematics

Date of publication:

2011

Volume:

46

Number:

6

ISSN:

00002-3043

Official URL:


Additional Information:

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Title:

The Pólya sum process: A Cox representation

Creator:

M. Rafler

Contributor(s):

Գլխավոր խմբ․՝ Մ․ Մ․ Ջրբաշյան (1966-1994) ; Ռ․ Վ․ Համբարձումյան (1994-2009) ; Ա․ Ա․ Սահակյան (2010-)

Subject:

Science ; Mathematics

Uncontrolled Keywords:

Point process; Campbell measure; integration by parts; infinite divisibility; Cox process.

Coverage:

77-86

Abstract:

In [1], Zessin constructed the so-called Polya sum process via partial integration. Here we use the technique of integration by parts to the Polya sum process to derive representations of the Polya sum process as an infinitely divisible point process and a Cox process directed by an infinitely divisible random measure. This result is related to the question of the infinite divisibilty of a Cox process and the infinite divisibility of its directing measure. Finally we consider a scaling limit of the Polya sum process and show that the limit satisfies an integration by parts formula, which we use to determine basic properties of this limit.

Place of publishing:

Երևան

Publisher:

Հայաստանի ԳԱԱ

Date created:

2011-12-19

Type:

Հոդված

Format:

pdf

Call number:

АЖ 411

Digitization:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան