Information Theory and StatisticsCourier Corporation, 11 sept 2012 - 416 páginas Highly useful text studies logarithmic measures of information and their application to testing statistical hypotheses. Includes numerous worked examples and problems. References. Glossary. Appendix. 1968 2nd, revised edition. |
Índice
| 1 | |
| 3 | |
| 10 | |
| 12 | |
INEQUALITIES OF INFORMATION THEORY | 37 |
Exponential family | 44 |
Neighboring parameters | 55 |
Efficiency | 64 |
CHAPTER PAGE | 159 |
MULTIVARIATE NORMAL POPULATIONS | 189 |
THE LINEAR HYPOTHESIS | 211 |
CHAPTER PAGE | 239 |
MULTIVARIATE ANALYSIS THE MULTIVARIATE LINEAR HYPOTHESIS | 253 |
OTHER HYPOTHESES | 297 |
CHAPTER PAGE | 304 |
LINEAR DISCRIMINANT FUNCTIONS | 342 |
LIMITING PROPERTIES | 70 |
CHAPTER PAGE | 81 |
MULTINOMIAL POPULATIONS | 109 |
POISSON POPULATIONS | 142 |
CONTINGENCY TABLES | 155 |
REFERENCES | 353 |
Log n and n log n for values of n from 1 through 1000 | 367 |
Noncentral x² | 380 |
APPENDIX | 389 |
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Términos y frases comunes
additive alternative analysis applications approximation asymptotic binomial classification column Component due component in table Compute conditional Consider convex corollary correlation corresponding covariance matrix defined definition degrees of freedom density derived discrimination information distribution divergence efficiency elements equality equations error example expressed fi(x Fisher given H₁ homogeneous illustrate independent observations k₁ lemma linear discriminant function log f(x mathematical matrix mean multivariate N₁ N₂ normal distribution normal populations notation Note null hypothesis H₂ P₁ P₂ parameters partitioning Poisson Prob probability measure problem procedure Proof properties random relation respectively roots sample satisfies Savage Show similar space specified statistic sufficient Suppose theorem theory transformation unbiased estimates variables variance variates write x₁ Xijk y₁ yields zero