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Beschreibung
1 BASIC CONCEPTS
1. Probability and Relative Frequency
2. Rudiments of Combinatorial Analysis
Problems
2 COMBINATION OF EVENTS
3. Elementary Events. The Sample Space
4. The Addition Law for Probabilities
Problems
3 DEPENDENT EVENTS
5. Conditional Probability
6. Statistical Independence
Problems
4 RANDOM VARIABLES
7. Discrete and Continuous Random Variables. Distribution Functions
8. Mathematical Expectation
9. Chebyshev's Inequality. The Variance and Correlation
Coefficient
Problems
5 THREE IMPORTANT PROBABILITY DISTRIBUTIONS
10. Bernoulli Trials. The Binomial and Poisson Distributions
11. The De Moivre-Laplace Theorem. The Normal Distribution
Problems
6 SOME LIMIT THEOREMS
12. The Law of Large Numbers
13. Generating Functions. Weak Convergence of Probability Distributions
14. Characteristic Functions. The Central Limit Theorem
Problems
7 MARKOV CHAINS
15. Transition Probabilities
16. Persistent and Transient States
17. Limiting Probabilities. Stationary Distributions
Problems
8 CONTINUOUS MARKOV PROCESSES
18. Definitions. The Sojourn Time
19. The Kolmogorov Equations
20. More on Limiting Probabilities. Erlang's Formula
Problems
APPENDIX 1 INFORMATION THEORY
APPENDIX 2 GAME THEORY
APPENDIX 3 BRANCHING PROCESSES
APPENDIX 4 PROBLEMS OF OPTIMAL CONTROL
BIBLIOGRAPHY
INDEX
1. Probability and Relative Frequency
2. Rudiments of Combinatorial Analysis
Problems
2 COMBINATION OF EVENTS
3. Elementary Events. The Sample Space
4. The Addition Law for Probabilities
Problems
3 DEPENDENT EVENTS
5. Conditional Probability
6. Statistical Independence
Problems
4 RANDOM VARIABLES
7. Discrete and Continuous Random Variables. Distribution Functions
8. Mathematical Expectation
9. Chebyshev's Inequality. The Variance and Correlation
Coefficient
Problems
5 THREE IMPORTANT PROBABILITY DISTRIBUTIONS
10. Bernoulli Trials. The Binomial and Poisson Distributions
11. The De Moivre-Laplace Theorem. The Normal Distribution
Problems
6 SOME LIMIT THEOREMS
12. The Law of Large Numbers
13. Generating Functions. Weak Convergence of Probability Distributions
14. Characteristic Functions. The Central Limit Theorem
Problems
7 MARKOV CHAINS
15. Transition Probabilities
16. Persistent and Transient States
17. Limiting Probabilities. Stationary Distributions
Problems
8 CONTINUOUS MARKOV PROCESSES
18. Definitions. The Sojourn Time
19. The Kolmogorov Equations
20. More on Limiting Probabilities. Erlang's Formula
Problems
APPENDIX 1 INFORMATION THEORY
APPENDIX 2 GAME THEORY
APPENDIX 3 BRANCHING PROCESSES
APPENDIX 4 PROBLEMS OF OPTIMAL CONTROL
BIBLIOGRAPHY
INDEX
1 BASIC CONCEPTS
1. Probability and Relative Frequency
2. Rudiments of Combinatorial Analysis
Problems
2 COMBINATION OF EVENTS
3. Elementary Events. The Sample Space
4. The Addition Law for Probabilities
Problems
3 DEPENDENT EVENTS
5. Conditional Probability
6. Statistical Independence
Problems
4 RANDOM VARIABLES
7. Discrete and Continuous Random Variables. Distribution Functions
8. Mathematical Expectation
9. Chebyshev's Inequality. The Variance and Correlation
Coefficient
Problems
5 THREE IMPORTANT PROBABILITY DISTRIBUTIONS
10. Bernoulli Trials. The Binomial and Poisson Distributions
11. The De Moivre-Laplace Theorem. The Normal Distribution
Problems
6 SOME LIMIT THEOREMS
12. The Law of Large Numbers
13. Generating Functions. Weak Convergence of Probability Distributions
14. Characteristic Functions. The Central Limit Theorem
Problems
7 MARKOV CHAINS
15. Transition Probabilities
16. Persistent and Transient States
17. Limiting Probabilities. Stationary Distributions
Problems
8 CONTINUOUS MARKOV PROCESSES
18. Definitions. The Sojourn Time
19. The Kolmogorov Equations
20. More on Limiting Probabilities. Erlang's Formula
Problems
APPENDIX 1 INFORMATION THEORY
APPENDIX 2 GAME THEORY
APPENDIX 3 BRANCHING PROCESSES
APPENDIX 4 PROBLEMS OF OPTIMAL CONTROL
BIBLIOGRAPHY
INDEX
1. Probability and Relative Frequency
2. Rudiments of Combinatorial Analysis
Problems
2 COMBINATION OF EVENTS
3. Elementary Events. The Sample Space
4. The Addition Law for Probabilities
Problems
3 DEPENDENT EVENTS
5. Conditional Probability
6. Statistical Independence
Problems
4 RANDOM VARIABLES
7. Discrete and Continuous Random Variables. Distribution Functions
8. Mathematical Expectation
9. Chebyshev's Inequality. The Variance and Correlation
Coefficient
Problems
5 THREE IMPORTANT PROBABILITY DISTRIBUTIONS
10. Bernoulli Trials. The Binomial and Poisson Distributions
11. The De Moivre-Laplace Theorem. The Normal Distribution
Problems
6 SOME LIMIT THEOREMS
12. The Law of Large Numbers
13. Generating Functions. Weak Convergence of Probability Distributions
14. Characteristic Functions. The Central Limit Theorem
Problems
7 MARKOV CHAINS
15. Transition Probabilities
16. Persistent and Transient States
17. Limiting Probabilities. Stationary Distributions
Problems
8 CONTINUOUS MARKOV PROCESSES
18. Definitions. The Sojourn Time
19. The Kolmogorov Equations
20. More on Limiting Probabilities. Erlang's Formula
Problems
APPENDIX 1 INFORMATION THEORY
APPENDIX 2 GAME THEORY
APPENDIX 3 BRANCHING PROCESSES
APPENDIX 4 PROBLEMS OF OPTIMAL CONTROL
BIBLIOGRAPHY
INDEX
Details
| Erscheinungsjahr: | 1977 |
|---|---|
| Fachbereich: | Wahrscheinlichkeitstheorie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9780486635446 |
| ISBN-10: | 0486635449 |
| UPC: | 800759635443 |
| EAN: | 0800759635443 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Rozanov, Y a |
| Auflage: | Revised edition |
| Hersteller: | Dover Publications |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 208 x 144 x 8 mm |
| Von/Mit: | Y a Rozanov |
| Erscheinungsdatum: | 21.08.1978 |
| Gewicht: | 0,172 kg |