Paulo Eduardo Oliveira Livres

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.

Statistics has been a main tool in almost every field of activity and an essential part of applied scientific work, supporting conclusions and offering insights into new uses for established methodologies, thus making it a valuable resource in looking for faceless facts. Model construction describing populations or phenomena subject to randomness use a wide range of methods. Data collection provides the basis for modelling and assumption verification. Modelling must be conducted using suitable techniques that give researchers the means to search for hidden facts or behaviours. This may be addressed by fitting pre-defined shapes and distributions to the data or by allowing the data to reveal its intrinsic properties by using nonparametric methods. This volume contains a selection of contributions presented at the XVIII Annual Congress of the Portuguese Statistical Society.