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The University of Texas at ArlingtonThe University of Texas at Arlington

College of Science


MATH 5313: Mathematical Statistics II


This course studies basic theory of statistics. Applications of statistics are given.


  • Sampling distributions of statistics
  • Point estimation
  • Unbiaedness
  • Sufficiency
  • Efficiency
  • Completeness
  • Exponential family
  • Bayes estimate
  • Interval estimation
  • Bayesian interval
  • Tests of hypotheses
  • Neyman-Pearson Lemma
  • Uniformly most powerful tests
  • Likelihood ratio tests
  • Sequential tests
  • Contingency tables
  • Linear regression


Bain, Lee J. and Engelhardt, Max (1992) Introduction to Probability and Mathematical

Statistics, 2nd edition. Duxbury

Casella, George and Berger, Roger, L. (1990) Statistical Inference. Wadsworth