STABLE AND SEMISTABLE PROBABILITY MEASURES ON CONVEX CONE

Autor:	Phuc Ho Dang, Nam Bui Quang
Rok vydání:	2014
Předmět:	Combinatorics Multiplicative group General Mathematics Domain (ring theory) Convex combination Convex cone Element (category theory) Stability (probability) Mathematics Probability measure
Zdroj:	Journal of the Australian Mathematical Society. 98:390-406
ISSN:	1446-8107 1446-7887
DOI:	10.1017/s1446788714000597
Popis:	The study concerns semistability and stability of probability measures on a convex cone, showing that the set$S(\boldsymbol{{\it\mu}})$of all positive numbers$t>0$such that a given probability measure$\boldsymbol{{\it\mu}}$is$t$-semistable establishes a closed subgroup of the multiplicative group$R^{+}$; semistability and stability exponents of probability measures are positive numbers if and only if the neutral element of the convex cone coincides with the origin; a probability measure is (semi)stable if and only if its domain of (semi-)attraction is not empty; and the domain of attraction of a given stable probability measure coincides with its domain of semi-attraction.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a193b281145e1cd87ee2c1fa83abc2ca https://doi.org/10.1017/s1446788714000597 Zobrazit plný text záznamu