
 IUPUI Department of Mathematical Sciences  Course Information 
  Sufficiency and completeness, the exponential family of distributions, theory of point estimation, CramerRao inequality, RaoBlackwell theorem with applications, maximum likelihood estimation, asymptotic distributions of ML estimators, hypothesis testing, NeymanPearson lemma, UMP tests, generalized likelihood ratio test, asymptotic distribution of the GLR test, sequential probability ratio test. 
  Sufficiency and completeness, the exponential family of distributions, theory of point estimation, CramerRao inequality, RaoBlackwell Theorem with applications, maximum likelihood estimation, asymptotic distributions of ML estimators, hypothesis testing, NeymanPearson Lemma, UMP tests, generalized likelihood ratio test, asymptotic distribution of the GLR test, sequential probability ratio test. 
  Descriptive statistics; elementary probability; random variables and their distributions; expectation; normal, binomial, Poisson, and hypergeometric distributions; sampling distributions; estimation and testing of hypotheses; oneway analysis of variance; correlation and regression. 
 www.math.iupui.edu /programs/courses/stat.html (1711 words) 
