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## Details

Genre/Form: | Electronic book Electronic books |
---|---|

Additional Physical Format: | Printed edition: |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Galen R Shorack |

ISBN: | 9783319522074 3319522078 |

OCLC Number: | 1005133263 |

Description: | 1 online resource (xxii, 510 pages) : illustrations (some color) |

Contents: | 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. |

Series Title: | Springer texts in statistics |

Responsibility: | Galen R. Shorack. |

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

"It discusses measure theoretic probability from the viewpoint of what a theoretical statistician needs to know, and includes many details that an applied statistician may need to look up on occasion. Reading it frequently feels like you are sitting next to the author, with him pointing out the important parts, and suggesting how to think about things. I enjoyed that aspect very much, and it helps to solidify the readers understanding." (Peter Rabinovitch, MAA Reviews, January, 2018) Read more...

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