正題名/作者 : A first look at rigorous probability theory // Jeffrey S. Rosenthal.
出版者 : Singapore ;World Scientific,c2000.
面頁冊數 : xiv, 177 p. ;22 cm.
標題 : Probabilities. -
ISBN : 9810243030 (hbk.)
ISBN : 9810243227 (pbk.)
LEADER 01156nam 2200193 a 450
001 126299
003 OCoLC
005 20030721153632.0
008 000905s2000 si b 001 0 eng d
020 $a9810243030 (hbk.)
020 $a9810243227 (pbk.)
035 $a00108785
082 1 $a519.2$213
090 $aQA273$b.R67 2000
090 $a519.2/R727/////UM015629
100 1 $aRosenthal, Jeffrey Seth.$3239336
245 12$aA first look at rigorous probability theory /$cJeffrey S. Rosenthal.
260 $aSingapore ;$aRiver Edge, NJ :$bWorld Scientific,$cc2000.
300 $axiv, 177 p. ;$c22 cm.
504 $aIncludes bibliographical references (p. 168-170) and index.
505 0 $a1. The need for measure theory -- 2. Probability triples -- 3. Further probabilistic foundations -- 4. Expected values -- 5. Inequalities and laws of large numbers -- 6. Distributions of random variables -- 7. Stochastic processes and gambling games -- 8. Discrete Markov chains -- 9. Some further probability results -- 10. Weak convergence -- 11. Characteristic functions -- 12. Decomposition of probability laws -- 13. Conditional probability and expectation -- 14. Martingales -- 15. Introduction to other stochastic processes -- Appendix. Mathematical Background.
650 0$aProbabilities.$3139898
650 0$aMeasure theory.$3143583
650 0$aProbability measures.$3239337