Frontmatter -- Preface -- Table of 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 distribution functions -- List of elementary probability densities -- Frequently used symbols -- Statistical tables -- References -- Indexweiterlesen