LEADER 01824nam a2200337 i 4500 001 991000895109707536 005 20020507175416.0 008 010308s2000 si a b 001 0 eng d 020 $a9810243030 035 $ab10772388-39ule_inst 035 $aLE01303966$9ExL 040 $aDip.to Matematica$beng 082 0 $a519.2 084 $aAMS 60-01 084 $aLC QA273.R72 100 1 $aRosenthal, Jeffrey Seth$0281907 245 12$aA first look at rigorous probability theory /$cJeffrey S. Rosenthal 260 $aSingapore :$bWorld Scientific,$cc2000 300 $axiv, 177 p. :$bill. ;$c22 cm 500 $aIncludes bibliographical references (p. 168-170) and index 505 0 $a1. The need for measure theory ; 2. Probability triples ; 3. Further probabilistic foundations ; 4. Expected values ; 5. Inequalities and laws of large numbers ; 6. Distributions of random variables ; 7. Stochastic processes and gambling games ; 8. Discrete Markov chains ; 9. Some further probability results ; 10. Weak convergence ; 11. Characteristic functions ; 12. Decomposition of probability laws ; 13. Conditional probability and expectation ; 14. Martingales ; 15. Introduction to other stochastic processes ; Appendix. Mathematical Background 650 0$aMeasure theory 650 0$aProbabilities 650 0$aProbability measures 907 $a.b10772388$b19-10-06$c28-06-02 912 $a991000895109707536 945 $aLE013 60-XX ROS31 C. 1 (2000)$g1$i2013000125916$lle013$o-$pE0.00$q-$rl$s- $t0$u1$v0$w1$x0$y.i1087088x$z28-06-02 945 $aLE013 60-XX ROS31 C. 2 (2000) $cC. 2$g2$i2013000203478$lle013$op$pE42.39$q-$rl$s- $t0$u1$v0$w1$x0$y.i14303929$z19-10-06 996 $aFirst look at rigorous probability theory$9747959 997 $aUNISALENTO 998 $ale013$b01-01-01$cm$da $e-$feng$gsi $h2$i1