This textbook provides a broad and solid introduction to mathematical statistics, including the classical subjects hypothesis testing, normal regression analysis, and normal analysis of variance. In addition, non-parametric statistics and vectorial statistics are considered, as well as applications of stochastic analysis in modern statistics, e.g., Kolmogorov-Smirnov testing, smoothing techniques, robustness and density estimation. - For students with some elementary mathematical background. - With many exercises. - Updated, completeSolutions Manual available on request - Prerequisites from measure theory and linear algebra are presented.

Wiebe R. Pestman, University of Utrecht, The Netherlands.