Live lectures for Stats 325
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| L1: Introduction |
Ch 1, 4-15 |
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| Conditional probability |
Ch 2, 16-22 |
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| L2: Partition & Bayes Thms |
Ch 2, 22-27 |
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| L3: First-step analysis |
Ch 2, 27-30 |
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| Gambler's Ruin |
Ch 2, 30-34 |
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| L4: Random variables, Expectation |
Ch 2 & 3, 35-46 |
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| L5: Variance, covariance |
Ch 3, 47-50 |
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| Conditional expectation |
Ch 3, 51-55 |
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| L6: Total expectation & variance |
Ch 3, 55-59 |
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| L7: Randomly stopped sum |
Ch 3, 59-62 |
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| Expected reaching times (FSA) |
Ch 3, 63-67 |
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| L8: Prob as cond expect |
Ch 3, 67-71 |
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| L9: Gene spread; Markov chains |
Ch 3&5, 71-73,83-86 |
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| Transition matrices |
Ch 5, 86-91 |
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| L10: Trajectories, Class structure |
Ch 5, 91-97 |
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| L11: Hitting probs / Reaching times |
Ch 5, 98-107 |
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| Equilibrium distributions |
Ch 6, 108-112 |
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| L12: Converging to equilibrium |
Ch 6, 113-117 |
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| L13: Test tips, Periodicity |
Ch 6, 118-122 |
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| Examples, Two-armed Bandit |
Ch 6, 122-128 |
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| L15: Test Feedback |
(no picture) |
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| L15: Mathematical Induction |
Ch 4, 75-78 |
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| Induction continued |
Ch 4, 79-82, Ch6 123-125 |
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| L16: Probability Generating Funcs |
Ch 7, 129-133 |
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| L17: PGF for probabilities and sums |
Ch 7, 133-138 |
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| Moments, randomly stopped sums |
Ch 7, 136-141 |
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| L18: Heron (end), Random Walk |
Ch 7, 141-151 (No sound |
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| for first 13 mins - sorry!) |
| L19: Random Walk with PGFs |
Ch 7, 151-155 |
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| Defective r.v.s |
Ch 7, 155-159 |
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| L20: P(never reach goal), branching proc |
Ch 7/8, 160-162 |
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| L21: Branching Processes |
Ch 8, 163-167 |
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| G_n(s) = G(G(...G(s)...)) |
Ch 8, 167-173 |
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| L22: E(Z_n), Var(Z_n), Extinction |
Ch 8/9, 174-180 |
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| L23: Probability of extinction |
Ch 9, 181-184 |
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| Conditions for extinction |
Ch 9, 182-187 |
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| L24: Time to extinction |
Ch 9, 187-194 |
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Annotated PDFs are available from the Notes page.
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