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3

Point Estimation

Estimating Parameters from Data

Methods for estimating parameters: maximum likelihood, method of moments, and Bayesian estimation.

Lessons

3.1

Estimators, Risk, and Mean Squared Error

3.2

Method of Moments and Maximum Likelihood Estimation (MLE)

3.3

Properties of Estimators: Bias, Consistency, and Efficiency

3.4

The Cramér–Rao Lower Bound

3.5

Sufficiency, Rao–Blackwell, and Lehmann–Scheffé

3.6

Invariance and Equivariance in Estimation

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