Information Theory and Statistics

absolutely continuous alternative hypothesis H₁ analysis in table analysis of variance asymptotically distributed binomial canonical correlation chapter 9 coefficients Component due component in table conditional homogeneity conjugate distribution contingency table corollary covariance matrix dd(x defined degrees of freedom distributed as x² divergence E₁ equality equation example f₁(x f₂(x Fisher given H₁ H₂(R independent observations Information D.F. information theory k₁ k₂ lemma linear discriminant function log f(x log i=1 m₁ minimum discrimination information multinomial distribution multivariate normal populations N₁ n₂ noncentral normally distributed Note nữ null hypothesis H₂ p₁ partitioning Pijk Poisson distribution Poisson population Prob probability measure problem quadratic form regression sample Show specified sufficient statistic Suppose theorem 2.1 Total unbiased estimates variates x₁ Xijk y₁ α΄Στα βι λ₁ μ₁ μ₂ ρ² Σ₁ σ² σι ΣΣ