Wiebe R. Pestman 
Mathematical Statistics [PDF ebook] 
An Introduction

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 — Index