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Introduction to Stochastic Processes by Raghu Pasupathy is licensed under a Creative Commons Attribution 4.0 International License.
raghu pasupathy

Stochastic Processes (MA,STAT 532)

Lecture Notes

lecture number 1 chapter 0 of lecture notes preliminaries
lecture number 2 chapter 0 of lecture notes preliminaries
lecture number 3 chapter 1 of lecture notes stochastic processes
lecture number 4 chapter 2 of lecture notes Poisson Process: Axioms and Construction
lecture number 5 chapter 2 of lecture notes Poisson Process: Distribution of Arrival and Waiting Times
lecture number 6 chapter 2 of lecture notes Poisson Process: Conditional Distribution of Arrival and Waiting Times
lecture number 7 chapter 2 of lecture notes Pure Birth Process
lecture number 8 chapter 2 of lecture notes nonstationary Poisson process construction
lecture number 9 chapter 2 of lecture notes nonstationary Poisson process
lecture number 10 chapter 2 of lecture notes nonstationary Poisson process simulation, cond. distn. calculation
lecture number 11 chapter 2 of lecture notes nonstationary Poisson process arrival time calculation
lecture number 12 chapter 2 of lecture notes Poisson point process
lecture number 13 chapter 3 of lecture notes Poisson point process, Markov process
lecture number 14 chapter 3 of lecture notes Markov chain
lecture number 15 chapter 3 of lecture notes MC hitting time calculation, recurrence, transience
lecture number 16 chapter 3 of lecture notes equivalence classes
lecture number 17 chapter 3 of lecture notes state space decomposition
lecture number 18 chapter 3 of lecture notes birth death chain, branching chain
lecture number 19 chapter 4 of lecture notes MC infinite time behavior
lecture number 20 chapter 4 of lecture notes MC infinite time behavior
lecture number 21 chapter 4 of lecture notes MC infinite time behavior
lecture number 22 chapter 4 of lecture notes MC infinite time behavior
lecture number 23 chapter 5 of lecture notes jump processes
lecture number 24 chapter 5 of lecture notes Markov jump processes, Chapman-Kolmogorov backward eqns
lecture number 25 chapter 5 of lecture notes Markov jump processes, Chapman-Kolmogorov backward eqns
lecture number 26 chapter 6 of lecture notes Second order processes
lecture number 27 chapter 6 of lecture notes Second order processes
lecture number 28 chapter 6 of lecture notes Second order processes
lecture number 29 chapter 6 of lecture notes Second order processes
lecture number 30 chapter 6 of lecture notes Second order processes: integration, differentiation

Assignments

Assignment I
Assignment II
Assignment III
Assignment IV
Assignment V
Practice Problems
Assignment VII
Assignment VIII
Assignment IX
More Practice