FUNDAMENTALS OF PROBABILITY THEORY is a text comprising the major theorems of Probability and its Measure theoretic foundations. The main topics covered are independence, interchangeability. No prior knowledge of measure theory is assumed, and a unique feature of the book is the combined presentation of measure and probability. Special features include: An up-to-date treatment of U-statistics, a comprehensive treatment of the law of iterated logarithm, Infinitely divisible and stable laws, complete treatment of Borel-cantelli lemmas and laws of large numbers.
FUNDAMENTALS OF PROBABILITY THEORY is a text comprising the major theorems of Probability and its Measure theoretic foundations. The main topics cover...
This is a text comprising the major theorems of Martingales and Stochastic Processes. The main topics covered are stopping times. Martingales, stochastic calculus. A unique feature of the book is the combined presentation of measure, probability and stochastic processes. Special features include: Poisson Processes, Brownian Motion, Markov Processes, Continuous Time Markov Chains, Stochastic Integration, Ergodic Theorems.
This is a text comprising the major theorems of Martingales and Stochastic Processes. The main topics covered are stopping times. Martingales, stochas...