TY - BOOK AU - Spokoiny, V.; Dickhaus, Thorsten, AU - Vladimir Spokoiny,; Thorsten Dickhaus TI - Basics of modern mathematical statistics SN - 9783642399084 U1 - 519.5 SPO PY - 2015/// CY - Germany PB - Springer KW - Mathematical statistics KW - Computer science KW - Statistics N1 - Alpha/2240 & 08- Mar-16/Rs.4014/-; Basic notions.- Parameter Estimation for an i.i.d. Model.- Regression Estimation.- Estimation in Linear Models.- Bayes Estimation.- Testing a Statistical Hypothesis.- Testing in Linear Models.- Some other Testing Methods.- Deviation Probability for Quadratic Forms N2 - This textbook provides a unified and self-contained presentation of the main approaches to and ideas of mathematical statistics. It collects the basic mathematical ideas and tools needed as a basis for more serious study or even independent research in statistics. The majority of existing textbooks in mathematical statistics follow the classical asymptotic framework. Yet, as modern statistics has changed rapidly in recent years, new methods and approaches have appeared. The emphasis is on finite sample behavior, large parameter dimensions, and model misspecifications. The present book provides a fully self-contained introduction to the world of modern mathematical statistics, collecting the basic knowledge, concepts and findings needed for doing further research in the modern theoretical and applied statistics. This textbook is primarily intended for graduate and postdoc students and young researchers who are interested in modern statistical methods UR - http://www.springer.com/gp/book/9783642399084 ER -