| Description |
2 volumes : illustrations ; 24 cm |
| Series |
Wiley mathematical statistics series |
|
Wiley mathematical statistics series.
|
| Contents |
Volume I. Preface to the second edition. Preface to the first edition. Introduction: the nature of probabiltity theory. 1. The sample space. 2. Elements of combinatorial analysis. 3. Fluctuations in coin tossing and random walks. 4. Combination of events. 5. Coditional probability. Stochastic independence. 6. The binomial and the poisson distrubtions. 7. The normal approximation to the binomial distribution. 8. Unlimited sequences of bernoulli tirals. 9. Random varables; expectation. 10. Laws of large numbers. 11. Integral valued variables. Generating functions. 12. Compound distributions. Brancing processes. 13. Recurrent events. The renewal equation. 14. Random walk and ruin problems. 15. Markov chains. 16. Algebraic treatment of finite markov chains. 17. The simplest time-dependent stochastic processes. Answers to problems. Index |
|
Volume II. Preface. Abbreviations and conventions. 1. The exponential and the uniform densities. 2. Special densities. Randomization. 3. Densities in higher dimensions. Normal densities and processes. 4. Probability measures and spaces. 5. Probablity distribution in R r. 6. A survey of some important distributions and processes. 7. Laws of large numbers, applications in analysis. 8. The basic limit theorems. 9. Infinitely divisble distributions and semi-groups. 10. Markov processes and semi-groups. 11. Renewal theory. 12. Random walks in R1. 13. Laplace transforms. Tauberian theorems. Resolvents. 14. Applications of laplace transforms. 15. Characteristic functions. 16. Expansions related to the central limit theorem. 17. Infinitely divisible distributions. 18. Applications of fourier methods to random walks. 19. Harmonic analysis. Answers to problems. Some books on cognate subjects. Index |
| Notes |
Includes index |
|
Vol. 2 has series: Wiley series in probability and mathematical statistics |
| Bibliography |
Bibliographical footnotes. "Some books on cagnate subjects": volumes 2, pages 615-616 |
| Subject |
Probabilities.
|
| LC no. |
50008529 |
|
