Thisdefinitivetextbookprovidesasolidintroductiontodiscreteandcontinuousstochasticprocesses,tacklingacomplexfieldinawaythatinstilsadeepunderstandingoftherelevantmathematicalprinciples,anddevelopsanintuitivegraspofthewaytheseprinciplescanbeappliedtomodellingreal-worldsystems.ItincludesacarefulreviewofelementaryprobabilityanddetailedcoverageofPoisson,GaussianandMarkovprocesseswithrichlyvariedqueuingapplications.Thetheoryandapplicationsofinference,hypothesistesting,estimation,randomwalks,largedeviations,martingalesandinvestmentsaredeveloped.Writtenbyoneoftheworld'sleadinginformationtheorists,evolvingovertwentyyearsofgraduateclassroomteachingandenrichedbyover300exercises,thisisanexceptionalresourceforanyonelookingtodeveloptheirunderstandingofstochasticprocesses.
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