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S‐inequality for certain product measures
Author(s) -
Nayar Piotr,
Tkocz Tomasz
Publication year - 2014
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201200294
Subject(s) - mathematics , weibull distribution , inequality , product (mathematics) , measure (data warehouse) , probability measure , type (biology) , statistics , econometrics , mathematical analysis , computer science , data mining , ecology , geometry , biology
In this paper we prove the S‐inequality for certain product probability measures and ideals in R n . As a result, for the Weibull and Gamma product distributions we derive concentration of measure type estimates as well as optimal comparison of moments.