INEQUA ANAL & PROBAB (3RD ED)

Focusing on classical inequalities in vector and functional spaces, this book explores their applications in probability theory. It presents innovative analytical inequalities that provide improved bounds and generalizations for various mathematical concepts, including the sum and supremum of random variables, martingales, and transformed Brownian motions. Additionally, it delves into Markov processes, point processes, and various stochastic processes like renewal, branching, and shock processes, making it a valuable resource for advanced studies in probability and analysis.