1.

Record Nr.

UNISALENTO991000895109707536

Autore

Rosenthal, Jeffrey Seth

Titolo

A first look at rigorous probability theory / Jeffrey S. Rosenthal

Pubbl/distr/stampa

Singapore : World Scientific, c2000

ISBN

9810243030

Descrizione fisica

xiv, 177 p. : ill. ; 22 cm

Classificazione

AMS 60-01

LC QA273.R72

Disciplina

519.2

Soggetti

Measure theory

Probabilities

Probability measures

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Includes bibliographical references (p. 168-170) and index

Nota di contenuto

1. The need for measure theory ; 2. Probability triples ; 3. Further probabilistic foundations ; 4. Expected values ; 5. Inequalities and laws of large numbers ; 6. Distributions of random variables ; 7. Stochastic processes and gambling games ; 8. Discrete Markov chains ; 9. Some further probability results ; 10. Weak convergence ; 11. Characteristic functions ; 12. Decomposition of probability laws ; 13. Conditional probability and expectation ; 14. Martingales ; 15. Introduction to other stochastic processes ; Appendix. Mathematical Background