On the weak laws of large numbers for weighted sums of dependent identically distributed random vectors in Hilbert spaces

Autor:	Vu T. N. Anh, Nguyen Thi Thanh Hien
Rok vydání:	2020
Předmět:	Independent and identically distributed random variables symbols.namesake Pure mathematics Negatively associated Law of large numbers General Mathematics Hilbert space symbols Pairwise comparison Negative association Algebra over a field Separable space Mathematics
Zdroj:	Rendiconti del Circolo Matematico di Palermo Series 2. 70:1245-1256
ISSN:	1973-4409 0009-725X
DOI:	10.1007/s12215-020-00555-w
Popis:	This note establishes the weak laws of large numbers with general normalizing sequences for weighted sums of dependent identically distributed random vectors taking values in real separable Hilbert spaces. The dependent structures include pairwise and coordinatewise negative dependence and coordinatewise negative association. The sharpness of the result for the case where the random vectors are coordinatewise negatively associated is illustrated by an example.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::67a3698e52dc1cd063873935389be4ac https://doi.org/10.1007/s12215-020-00555-w Zobrazit plný text záznamu Full text from SpringerLink