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GENERALITIES ON PROBABILITYSurvey Sampling RevisitedMathematical Models for Random PhenomenaRandom ElementsDistribution Functions of Random VariablesDistribution Functions of Random Vectors Exercises SOME RANDOM SETS IN STATISTICS Probability Sampling Designs Confidence Regions Robust Bayesian Statistics Probability Density Estimation Coarse Data Analysis Perception-Based Information Stochastic Point Processes Exercises FINITE RANDOM SETS Random Sets and Their Distributions Set-Valued Observations Imprecise Probabilities Decision Making with Random Sets Exercises RANDOM SETS AND RELATED UNCERTAINTY MEASURES Some Set Functions Incidence Algebras Cores of Capacity Functionals Exercises RANDOM CLOSED SETS Introduction The Hit-or-Miss Topology Capacity Functionals Notes on the Choquet Theorem on Polish Spaces Exercises THE CHOQUET INTEGRAL Some Motivations The Choquet Integral Radon-Nikodym Derivatives Exercises CHOQUET WEAK CONVERGENCE Stochastic Convergence of Random Sets Convergence in Distribution Weak Convergence of Capacity Functionals Exercises SOME ASPECTS OF STATISTICAL INFERENCE WITH COARSE DATA Expectations and Limit Theorems A Statistical Inference Framework for Coarse Data A Related Statistical Setting A Variational Calculus of Set Functions Exercises APPENDIX: BASIC CONCEPTS AND RESULTS OF PROBABILITY THEORY References Index