01824nam a2200337 i 450099100089510970753620020507175416.0010308s2000 si a b 001 0 eng d9810243030b10772388-39ule_instLE01303966ExLDip.to Matematicaeng519.2AMS 60-01LC QA273.R72Rosenthal, Jeffrey Seth281907A first look at rigorous probability theory /Jeffrey S. RosenthalSingapore :World Scientific,c2000xiv, 177 p. :ill. ;22 cmIncludes bibliographical references (p. 168-170) and index1. 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 BackgroundMeasure theoryProbabilitiesProbability measures.b1077238819-10-0628-06-02991000895109707536LE013 60-XX ROS31 C. 1 (2000)12013000125916le013-E0.00-l- 01010.i1087088x28-06-02LE013 60-XX ROS31 C. 2 (2000) C. 222013000203478le013pE42.39-l- 01010.i1430392919-10-06First look at rigorous probability theory747959UNISALENTOle01301-01-01ma -engsi 21