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