2013 lectures for Stats 325
The 2013 lectures are supplied as a back-up set for the 2014 versions.
These lectures were recorded in Shockwave Flash, which is no longer supported by Adobe.
As of 2022, they can be played in Chrome or Firefox using the Ruffle
browser extension.
- To play any lecture, first add the Ruffle browser
extension by clicking the button for your preferred browser (Chrome or Firefox) at the Ruffle download page. Then click play below.
The SWF file will automatically be converted by Ruffle and can be played in your browser as usual.
- To download a recording in Shockwave Flash format, right-click the SWF link and save.
If you succeed in converting the SWF file to a modern format such as MP4, please let me know as I would be keen to update all the files below.
Please send comments to Rachel
Fewster.
| L1: Introduction |
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| Processes |
Ch 1, 4-15 |
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| Conditional probability |
Ch 2, 16-22 |
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| L2: Partition & Bayes Thms |
Ch 2, 23-28 |
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| L3: First-step analysis |
Ch 2, 28-31 |
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| Gambler's Ruin |
Ch 2, 31-35 |
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| L4: Random variables, Expectation |
Ch 2 & 3, 35-47 |
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| L5: Variance, covariance |
Ch 3, 47-51 |
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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, 59-63 |
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| Expected reaching times (FSA) |
Ch 3, 64-67 |
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| L8: Lottery example; Gene Model |
Ch 3, 67-71 |
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| L9: Gene spread; PGF |
Ch 3&4, 71-75 |
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| Probability Generating Functions |
Ch 4, 75-80 |
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| L10: PGF sums, moments |
Ch 4, 80-84 |
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| L11: Randomly stopped sum; Heron |
Ch 4, 83-87 |
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| Heron, Martingale, Random walk |
Ch 4, 87-98 |
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| L12: PGF in Random Walk |
Ch 4, 98-101 |
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| L13: Revision & Defective r.v.s |
Ch 4, 101-104 |
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| Defectives |
Ch 4, 104-107 |
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| L14: Induction |
Ch 5, 108-114 |
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| L15: Induction end; Branching Proc |
Ch 5&6, 114-117 |
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| Branching processes |
Ch 6, 118-121 |
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| L16: Test |
| L17: Test Feedback & Braching Proc |
Ch 6, 122-124 |
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| Mean and variance of Zn |
Ch 6/7, 124-134 |
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| L18: Extinction |
Ch 7, 134-138 |
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| Diagram for Theorem 7.1: |
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| L19: Conditions for extinction |
Ch 7, 139-142 |
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| Time to extinction; Markov chains |
Ch 7/8, 143-150 |
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| L20: Markov Chains |
Ch 8, 151-156 |
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| L21: Trajectories, Classes |
Ch 8, 156-163 |
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| Hitting probabilities and times |
Ch 8, 164-171 |
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| L22: Equilibrium |
Ch 8, 171-178 |
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| L23: Convergence |
Ch 9, 179-183 |
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| Irreducible, Aperiodic |
Ch 9, 183-188 |
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| PDF of Convergence Criteria |
| L24: Equilibrium examples |
Ch 9, 188-194 |
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Annotated PDFs are available from the Notes page.
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