Probability for statisticians /
Galen R. Shorack.
- 2nd ed.
- xxii, 510 p. : ill. ; 25 cm.
- Springer texts in statistics, 1431-875X .
Includes bibliographical references and index [pg. 497 - 510 ].
Preface -- Use of This Text -- Definition of Symbols -- Chapter 1. Measures -- Chapter 2. Measurable Functions and Convergence -- Chapter 3. Integration -- Chapter 4 Derivatives via Signed Measures -- Chapter 5. Measures and Processes on Products -- Chapter 6. Distribution and Quantile Functions -- Chapter 7. Independence and Conditional Distributions -- Chapter 8. WLLN, SLLN, LIL, and Series -- Chapter 9. Characteristic Functions and Determining Classes -- Chapter 10. CLTs via Characteristic Functions -- Chapter 11. Infinitely Divisible and Stable Distributions -- Chapter 12. Brownian Motion and Empirical Processes -- Chapter 13. Martingales -- Chapter 14. Convergence in Law on Metric Spaces -- Chapter 15. Asymptotics Via Empirical Processes -- Appendix A. Special Distributions -- Appendix B. General Topology and Hilbert Space -- Appendix C. More WLLN and CLT -- References -- Index.