Mathematical Statistics / / Wiebe R. Pestman.

• Superior document: Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
• VerfasserIn: Pestman, Wiebe R.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2009]; ©2009
• Year of Publication: 2009
• Language: English
• Series: De Gruyter Textbook
• Physical Description: 1 online resource (597 p.) :; Num. figs. 1 frontispiece
• Other title: Frontmatter --; Contents --; Chapter I. Probability theory --; Chapter II. Statistics and their probability distributions, estimation theory --; Chapter III. Hypothesis tests --; Chapter IV. Simple regression analysis --; Chapter V. Normal analysis of variance --; Chapter VI. Non-parametric methods --; Chapter VII. Stochastic analysis and its applications in statistics --; Chapter VIII. Vectorial statistics --; Appendix A. Lebesgue’s convergence theorems --; Appendix B. Product measures --; Appendix C. Conditional probabilities --; Appendix D. The characteristic function of the Cauchy distribution --; Appendix E. Metric spaces, equicontinuity --; Appendix F. The Fourier transform and the existence of stoutly tailed distributions --; Backmatter
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110208535; 9783110238570; 9783110238471; 9783110637205; 9783110219517; 9783110219524; 9783110219463
• DOI: 10.1515/9783110208535
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Wiebe R. Pestman.

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. Prerequisites from measure theory and linear algebra are presented.