Math 2.0

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Discrete-time Markov Chains and Poisson Processes DJ9GZ69RSG

URIm2://res/DJ9GZ69RSG
Kindcourse
CreatorsAyon Ganguly Prof. Subhamay Saha (instructor)
Date2022-01-11
MSC60-XX
Scopein
Idscourse 0022nd079:111103158

Expressions

e1: edition

Languageen
Date2022-01-11
Contents
  • part 1: Week 1: Introduction to Discrete-time Markov Chains
  • session 1: Lec 1: Review of Basic Probability I
  • session 2: Lec 2: Review of Basic Probability II
  • session 3: Lec 3: Review of Basic Probability III
  • session 4: Lec 4: Stochastic Processes
  • session 5: Lec 5: Definition of Markov Chain and Transition Probabilities
  • part 2: Week 2: Chapman-Kolmogorov Equations and Communication
  • session 6: Lec 6: Markov Property and Chapman-Kolmogorov Equations
  • session 7: Lec 7: Chapman-Kolmogorov Equations: Examples
  • session 8: Lec 8: Accessibility and Communication of States
  • part 3: Week 3: Hitting Times and Strong Markov Property
  • session 9: Lec 9: Hitting Time I
  • session 10: Lec 10: Hitting Time II
  • session 11: Lec 11: Hitting Time III
  • session 12: Lec 12: Strong Markov Property
  • part 4: Week 4: Classification of States
  • session 13: Lec 13: Passage Time and Excursion
  • session 14: Lec 14: Number of Visits
  • session 15: Lec 15: Class Property
  • session 16: Lec 16: Transience and Recurrence of Random Walks
  • part 5: Week 5: Stationary Distribution
  • session 17: Lec 17: Stationary Distribution I
  • session 18: Lec 18: Stationary Distribution II
  • session 19: Lec 19: Stationary Distribution III
  • part 6: Week 6: Limit Theorems & Time Reversibility
  • session 20: Lec 20: Limit Theorems I
  • session 21: Lec 21: Limit Theorems II
  • session 22: Lec 22: Some Problems I
  • session 23: Lec 23: Some Problems II
  • session 24: Lec 24: Time Reversibility
  • part 7: Week 7: Exponential Distribution and Poisson Processes
  • session 25: Lec 25: Properties of Exponential Distribution
  • session 26: Lec 26: Some Problems
  • session 27: Lec 27: Order Statistics
  • session 28: Lec 28: Poisson Processes
  • part 8: Week 8: Poisson Processes
  • session 29: Lec 29: Poisson Thinning I
  • session 30: Lec 30: Poisson Thinning II
  • session 31: Lec 31: Conditional Arrival Times
  • session 32: Lec 32: Independent Poisson Processes
  • session 33: Lec 33: Some Problems
  • session 34: Lec 34: Compound Poisson Processes
  • part 9: Live Session
  • session 35: Live Session 15-03-2022

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