This textbook introduces the theory of stochastic processes, that is, randomness which proceeds in time. Using concrete examples like repeated gambling and jump
Features an introduction to probability theory using measure theory. This work provides proofs of the essential introductory results and presents the measure th
Building upon the previous editions, this textbook is a first course in stochastic processes taken by undergraduate and graduate students (MS and PhD students f
The ultimate objective of this book is to present a panoramic view of the main stochastic processes which have an impact on applications, with complete proofs a