02615nam 22004575a 450 991015193700332120091109150325.03-03719-527-410.4171/027(CKB)3710000000953805(CH-001817-3)44-091109(PPN)178155179(EXLCZ)99371000000095380520091109j20070110 fy 0engurnn|mmmmamaatxtrdacontentcrdamediacrrdacarrierLectures on Empirical Processes[electronic resource] Theory and Statistical Applications /Eustasio del Barrio, Paul Deheuvels, Sara van de GeerZuerich, Switzerland European Mathematical Society Publishing House20071 online resource (263 pages)EMS Series of Lectures in Mathematics (ELM) ;2523-5176The theory of empirical processes constitutes the mathematical toolbox of asymptotic statistics. Its growth was accelerated by the 1950s work on the Functional Central Limit Theorem and the Invariance Principle. The theory has developed in parallel with statistical methodologies, and has been successfully applied to a large diversity of problems related to the asymptotic behaviour of statistical procedures. The three sets of lecture notes in the book offer a wide panorama of contemporary empirical processes theory. Techniques are developed in the framework of probability in Banach spaces, Hungarian-style strong approximations, using tools from general stochastic process theory. Other tools appear in this text in connection with historical as well as modern applications, such as goodness-of-fit tests, density estimation or general M-estimators. This book gives an excellent overview of the broad scope of the theory of empirical processes. It will be an invaluable aid for students and researchers interested in an advanced and well-documented approach to the selected topics.Probability & statisticsbicsscStochasticsbicsscProbability theory and stochastic processesmscStatisticsmscProbability & statisticsStochasticsProbability theory and stochastic processesStatistics60-xx62-xxmscdel Barrio Eustasio1071022Deheuvels Paulvan de Geer Sarach0018173BOOK9910151937003321Lectures on Empirical Processes2565668UNINA