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Courses

Course material for USC PM522b Statistical Inference and USC PM569 Spatial Statistics.

Statistical Inference:

Course text Casella and Berger Statistical Inference, 2nd ed. 2002
  • Slides 1: Random sampling, sampling distributions, order statistics.
  • Slides 2: Sufficiency principle (sufficient, minimal sufficient, complete sufficient statistics), ancillary statistics, Basu's Theorem, Likelihood principle.
  • Slides 3: Methods for finding point estimators including maximum likelihood, numerical methods for maximum likelihood, moment generating functions, method of moments.
  • Slides 4: Evaluating estimators -- bias, MSE, MVUE
  • Slides 5: Hypothesis testing and interval estimation
  • Slides 6: Asymptotic evaluations -- consistency, effeciency, robustness, asymptotic LRT, asymptotic interval estimates, bootstrap.
  • Slides 7: ANOVA and linear regression

Spatial Statistics:

  • Introduction
  • Geostatistics 1
  • Geostatistics 2
  • Geostatistics 3
  • Areal 1
  • Areal 2
  • Point pattern 1
  • Point pattern 2