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Probability and Statistics I (Estimation (Sampling Distributions, Central…
Probability and Statistics I
Probability
Sample Spaces and Events
Counting
Definitions of Probability
Independence
Conditional Probability
Bayes Rule
Single Random Variables
Discrete
Binomial
Poisson
Negative Binomial
Geometric
Hypergeometric
Continuous
Uniform
Gamma
Beta
Normal (Gaussian)
Exponential
Chi-Squared
Moments
Expectation
Variance
Moment-generating Functions
Multiple Random Variables
Multivariate Distributions
Marginal Distributions
Conditional Distributions
Conditional Expectations
Multinomial Distribution
Multinormal Distribution
Independence
Functions of Random Variables
Expectations
Obtaining Distributions of Functions of RVs
Method of Distributions
Method of Transformations
Method of Moment-Generating Functions
Order Statistics
Covariance
Estimation
Sampling Distributions
Central Limit Theorem
Point Estimators
Confidence Intervals
Method of Moments
Consistency and Sufficiency
Method of Maximum Likelihood