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Introduction to Probability Theory and Its Applications, Volume 2

Introduction to Probability Theory and Its Applications, Volume 2 - 2nd edition

Introduction to Probability Theory and Its Applications, Volume 2 - 2nd edition

ISBN13: 9780471257097

ISBN10: 0471257095

Introduction to Probability Theory and Its Applications, Volume 2 by William Feller - ISBN 9780471257097
Edition: 2ND 71
Copyright: 1971
Publisher: John Wiley & Sons, Inc.
Published:
International: No
Introduction to Probability Theory and Its Applications, Volume 2 by William Feller - ISBN 9780471257097

ISBN13: 9780471257097

ISBN10: 0471257095

Edition: 2ND 71

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Summary

Chapter I The Exponential and the Uniform Densities

1. Introduction

2. Densities. Convolutions

3. The Exponential Density

4. Waiting Time Paradoxes. The Poisson Process

5. The Persistence of Bad Luck

6. Waiting Times and Order Statistics

7. The Uniform Distribution

8. Random Splittings

9. Convolutions and Covering Theorems

10. Random Directions

11. The Use of Lebesgue Measure

12. Empirical Distributions

13. Problems for Solution

Chapter II Special Densities. Randomization

1. Notations and Conventions

2. Gamma Distributions

3. Related Distributions of Statistics

4. Some Common Densities

5. Randomization and Mixtures

6. Discrete Distributions

7. Bessel Functions and Random Walks

8. Distributions on a Circle

9. Problems for Solution

Chapter III Densities in Higher Dimensions. Normal Densities and Processes

1. Densities

2. Conditional Distributions

3. Return to the Exponential and the Uniform Distributions

4. A Characterization of the Normal Distribution

5. Matrix Notation. The Covariance Matrix

6. Normal Densities and Distributions

7. Stationary Normal Processes

8. Markovian Normal Densities

9. Problems for Solution

Chapter IV Probability Measures and Spaces

1. Baire Functions

2. Interval Functions and Integrals in Rr

3. sigma;-Algebras. Measurability

4. Probability Spaces. Random Variables

5. The Extension Theorem

6. Product Spaces. Sequences of Independent Variables

7. Null Sets. Completion

Chapter V Probability Distributions in Rr

1. Distributions and Expectations

2. Pre