Learn · Probabilistic Systems Analysis and Applied Probability

Lecture 4 of 25Video Lectures52 min

Lecture 4: Counting

Prof. John Tsitsiklis · Massachusetts Institute of Technology

At MIT OpenCourseWare Transcript

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Probabilistic Systems Analysis and Applied Probability, Massachusetts Institute of Technology (at MIT OpenCourseWare)
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CC BY-NC-SA 4.0, as MIT OpenCourseWare states it. Non-commercial use only.
Attribution
Prof. John Tsitsiklis. Probabilistic Systems Analysis and Applied Probability. Fall 2010. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu/. License: Creative Commons BY-NC-SA.
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All the lectures

  1. Lecture 1: Probability Models and Axioms 52 min · Video
  2. Lecture 2: Conditioning and Bayes' Rule 52 min · Video
  3. Lecture 3: Independence 47 min · Video
  4. Lecture 4: Counting 52 min · Video
  5. Lecture 5: Discrete Random Variables; Probability Mass Functions; Expectations 51 min · Video
  6. Lecture 6: Discrete Random Variable Examples; Joint PMFs 51 min · Video
  7. Lecture 7: Multiple Discrete Random Variables: Expectations, Conditioning, Independence 51 min · Video
  8. Lecture 8: Continuous Random Variables 51 min · Video
  9. Lecture 9: Multiple Continuous Random Variables 51 min · Video
  10. Lecture 10: Continuous Bayes' Rule; Derived Distributions 49 min · Video
  11. Lecture 11: Derived Distributions; Convolution; Covariance and Correlation 52 min · Video
  12. Lecture 12: Iterated Expectations; Sum of a Random Number of Random Variables 48 min · Video
  13. Lecture 13: Bernoulli Process 51 min · Video
  14. Lecture 14: Poisson Process I 53 min · Video
  15. Lecture 15: Poisson Process II 50 min · Video
  16. Lecture 16: Markov Chains I 53 min · Video
  17. Lecture 17: Markov Chains II 52 min · Video
  18. Lecture 18: Markov Chains III 52 min · Video
  19. Lecture 19: Weak Law of Large Numbers 51 min · Video
  20. Lecture 20: Central Limit Theorem 52 min · Video
  21. Lecture 21: Bayesian Statistical Inference I 49 min · Video
  22. Lecture 22: Bayesian Statistical Inference II 53 min · Video
  23. Lecture 23: Classical Statistical Inference I 50 min · Video
  24. Lecture 24: Classical Inference II 52 min · Video
  25. Lecture 25: Classical Inference III; Course Overview 53 min · Video