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Focusing on the concept of association in probability and statistics, this book consolidates previously scattered findings on positive dependence notions that gained traction in recent decades. It presents a unified theory, complete with definitions, characterizations, and relevant inequalities. The text explores applications of these concepts in understanding convergence of associated variables and their implications for nonparametric statistics. Aimed at researchers and graduate students, it serves as a comprehensive reference for courses on dependent variables and their asymptotic behavior.
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Asymptotics for Associated Random Variables, Paulo Eduardo Oliveira
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- 2012
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