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1. Introduction and Probability Review |
Maths |
76 min |
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2. More Review; The Bernoulli Process |
Maths |
68 min |
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3. Law of Large Numbers, Convergence |
Maths |
81 min |
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4. Poisson (the Perfect Arrival Process) |
Maths |
77 min |
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5. Poisson Combining and Splitting |
Maths |
85 min |
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6. From Poisson to Markov |
Maths |
79 min |
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7. Finite-state Markov Chains; The Matrix Approach |
Maths |
56 min |
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8. Markov Eigenvalues and Eigenvectors |
Maths |
84 min |
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9. Markov Rewards and Dynamic Programming |
Maths |
84 min |
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10. Renewals and the Strong Law of Large Numbers |
Maths |
82 min |
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11. Renewals: Strong Law and Rewards |
Maths |
78 min |
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12. Renewal Rewards, Stopping Trials, and Walds Inequality |
Maths |
86 min |
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13. Little, M/G/1, Ensemble Averages |
Maths |
75 min |
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14. Review |
Maths |
79 min |
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15. The Last Renewal |
Maths |
76 min |
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16. Renewals and Countable-state Markov |
Maths |
80 min |
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17. Countable-state Markov Chains |
Maths |
84 min |
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18. Countable-state Markov Chains and Processes |
Maths |
76 min |
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19. Countable-state Markov Processes |
Maths |
82 min |
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20. Markov Processes and Random Walks |
Maths |
83 min |
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21. Hypothesis Testing and Random Walks |
Maths |
85 min |
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22. Random Walks and Thresholds |
Maths |
81 min |
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23. Martingales (Plain, Sub, and Super) |
Maths |
83 min |
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24. Martingales: Stopping and Converging |
Maths |
81 min |
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25. Putting It All Together |
Maths |
81 min |
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