Notes
APMA 1650 - Spring 2020

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Below are supplementary notes for various topics in the course. They will be updated and expanded as the course progresses.

  1. Basics of probability and set theory Email [HTML] -- Updated: Feb 3, 2020
  2. Discrete probability and combinatorics Email [HTML] -- Updated: Feb 5, 2020
  3. Conditional probability and independence Email [HTML] -- Updated: Mar 1, 2020
  4. Weak law of large numbers Email [PDF] - A chapter from Grinstead and Snell’s Introduction to Probability book.
  5. Central limit theorem. Email [MP4] - Short recorded lecture on the central limit theorem with associated handwritten notes
  6. Multivariate distributions Email [HTML] -- Updated: Apr 9th, 2020
  7. Multivariate distributions. Email [MP4] - 2 Hr recorded lecture on the multivariate distributions with associated handwritten notes
  8. Covariance and Correlation. Email [MP4] - recorded lecture on the covariance and correlations with associated handwritten notes
  9. Distribution Method. Email [MP4] - recorded lecture on the how to use distribution method to calculate how pdfs change with associated handwritten notes
  10. Point Estimators Email [MP4] - recorded lecture on point estimators with associated handwritten notes
  11. Confidence Intervals Email [MP4] - recorded lecture on confidence intervals with associated handwritten notes
  12. t-distributions Email [MP4] - recorded lecture on confidence intervals for normal samples and t-distributions with associated handwritten notes
  13. Efficiency, consistency and Sufficiency Email [MP4] - recorded lecture on efficiency, consistency and sufficient statistics for estimators with associated handwritten notes
  14. Method of moments and maximum likelihood estimators Email [MP4] - recorded lecture on the method of moments and maximum likelihood estimators with associated handwritten notes

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