A large deviation approach to some transportation cost inequalities
نویسندگان
چکیده
منابع مشابه
Transportation Approach to Some Concen- Tration Inequalities in Product Spaces
Using a transportation approach we prove that for every probability measures P,Q1, Q2 on Ω N with P a product measure there exist r.c.p.d. νj such that ∫ νj(·|x)dP (x) = Qj(·) and ∫ dP (x) ∫ dP dQ1 (y) dP dQ2 (z)(1 + β(1 − 2β))N dν1(y|x)dν2(z|x) ≤ 1 , for every β ∈ (0, 1/2). Here fN counts the number of coordinates k for which xk 6= yk and xk 6= zk. In case Q1 = Q2 one may take ν1 = ν2. In the ...
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2006
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s00440-006-0045-y