Probability: A Survey of the Mathematical Theory by John W. Lamperti
The brand new edition of this classic text--with more exercises andeasier to use than ever Like the first edition, this new version ofLamperti's classic text succeeds in making this fascinating area ofmathematics accessible to readers who have limited knowledge ofmeasure theory and only some familiarity with elementaryprobability. Streamlined for even greater clarity and with moreexercises to help develop and reinforce skills, Probability isideal for graduate and advanced undergraduate students--both in andout of the classroom. Probability covers:
* Probability spaces, random variables, and other fundamentalconcepts
* Laws of large numbers and random series, including the Law of theIterated Logarithm
* Characteristic functions, limiting distributions for sums andmaxima, and the "Central Limit Problem"
* The Brownian Motion process
* Probability spaces, random variables, and other fundamentalconcepts
* Laws of large numbers and random series, including the Law of theIterated Logarithm
* Characteristic functions, limiting distributions for sums andmaxima, and the "Central Limit Problem"
* The Brownian Motion process