01956nam a2200229Ia 4500 CTU_134119 210402s9999 xx 000 0 und d 1824000 516.3 B275 Del Barrio, Eustasio Lectures on empirical processes Theory and statistical applications Eustasio del Barrio, Paul Deheuvels, Sara van de Geer Zurich, Switzerland European Mathematical Society 2007 The 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. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society. Mathematical statistics,Thống kê toán Asymptotic theory.,Thuyết tiệm cận Nguyễn Kim Chung Trung tâm Học liệu Trường Đại học Cần Thơ