TY - JOUR
T1 - A note on the σ-compactness of sets of probability measures on metric spaces
AU - Luque-Vásquez, Fernando
AU - Adolfo Minjárez-Sosa, J.
N1 - Funding Information:
Work supported partially by Consejo Nacional de Ciencia y Tecnologia (CONACyT) under grant CB2010/154612 and by Red de CA-PROMEP “Control de Sistemas Estocásticos” .
PY - 2014/1
Y1 - 2014/1
N2 - In this note we prove the σ-compactness of a set of probability measures with finite expectation, defined on metric spaces. Our result is motivated by the problem of the existence of measurable selectors for multifunctions in decision problems where the action space is a set of probability measures.
AB - In this note we prove the σ-compactness of a set of probability measures with finite expectation, defined on metric spaces. Our result is motivated by the problem of the existence of measurable selectors for multifunctions in decision problems where the action space is a set of probability measures.
KW - Measurable selection theorems
KW - Probability measures
KW - σ-compactness
UR - http://www.scopus.com/inward/record.url?scp=84887365655&partnerID=8YFLogxK
U2 - 10.1016/j.spl.2013.10.015
DO - 10.1016/j.spl.2013.10.015
M3 - Artículo
AN - SCOPUS:84887365655
SN - 0167-7152
VL - 84
SP - 212
EP - 214
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
IS - 1
ER -