「確率・統計学」講義
残念ながら、私の講義ではありません。
Stat 110 Harvard - Let's Get Started (Statistics Song)
Lecture 1: Probability and Counting
Lecture 2: Story Proofs, Axioms of Probability
Lecture 3: Birthday Problem, Properties of Probability
Lecture 4: Conditional Probability
Lecture 5: Conditioning Continued, Law of Total Probability
Lecture 6: Monty Hall, Simpson's Paradox
Lecture 7: Gambler's Ruin and Random Variables
Lecture 8: Random Variables and Their Distributions
Lecture 9: Expectation, Indicator Random Variables, Linearity
Lecture 10: Expectation Continued
Lecture 11: The Poisson distribution
Lecture 12: Discrete vs. Continuous, the Uniform
Lecture 13: Normal distribution
Lecture 14: Location, Scale, and LOTUS
Lecture 15: Midterm Review
Lecture 16: Exponential Distribution
Lecture 17: Moment Generating Functions
Lecture 18: MGFs Continued
Lecture 19: Joint, Conditional, and Marginal Distributions
Lecture 20: Multinomial and Cauchy
Lecture 21: Covariance and Correlation
Lecture 22: Transformations and Convolutions
Lecture 23: Beta distribution
Lecture 24: Gamma distribution and Poisson process
Lecture 25: Order Statistics and Conditional Expectation
Lecture 26: Conditional Expectation Continued
Lecture 27: Conditional Expectation given an R.V.
Lecture 28: Inequalities
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Lecture 29: Law of Large Numbers and Central Limit Theorem
Lecture 30: Chi-Square, Student-t, Multivariate Normal
Lecture 31: Markov Chains
Lecture 32: Markov Chains Continued
Lecture 33: Markov Chains Continued Further
Lecture 34: A Look Ahead
Joseph Blitzstein: "The Soul of Statistics"