And Examples, Fourth Edition: Probability: Theory

– Provides a deep dive into continuous-time stochastic processes. Key Features Math/Stat 831 -- Theory of Probability

– Analyzes discrete-time stochastic processes. Probability: Theory and Examples, Fourth Edition

– Details conditional expectations and martingale convergence theorems. – Provides a deep dive into continuous-time stochastic

– Examines the long-term behavior of dynamical systems. and renewal theory.

– Covers probability spaces, distributions, and the integration required for a rigorous foundation.

– Focuses on weak convergence, characteristic functions, and Poisson convergence.

– Includes stopping times, recurrence, and renewal theory.