and “Mathematical Statistics and ” (2nd edition) and the accompanying volume and “Mathematical Problems and Detailed Solutions and ” complement each other perfectly. Together they are very suitable for self-study. The first book provides a broad and solid introduction to mathematical statistics, including 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. The second book contains 250 problems, varying in difficulty, together with their solution, as well as a summary of each chapter of the textbook. For students with some elementary mathematical background. With many exercises. Prerequisites from measure theory and linear algebra are presented.

Mathematical Statistics. 2009. Mathematical Statistics: Problems and Detailed Solutions. 1998. Set (de Gruyter Textbook) PDF

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