Intro. to Mathematical Statistics

February 1, 2021 June 1, 2021

University of Colorado Boulder

Gadruate

Examines point and confidence interval estimation. Principles of maximum likelihood, sufficiency, and completeness: tests of simple and composite hypotheses, linear models, and multiple regression analysis if time permits. Analyzes various distribution-free methods. Same as MATH 5520 and STAT 4520 and STAT 5520.

  1. Point Estimation

    1. Unbiased Estimators
    2. Efficiency
    3. Consistency
    4. Sufficiency
    5. Method of Moments
    6. Principles of maximum likelihood
  2. Interval Estimation

    1. Estimation of Means
    2. Estimation of Differences Between Means
    3. Estimation of Proportions
    4. Estimation of Variances
  3. Hypothesis Testing

  4. Linear Models

    1. Linear Regression
    2. Method of Least Squares
    3. Multiple Linear Regression