Testing Statistical Hypotheses

This classic textbook, now available from Springer, summarizes developments in the field of hypotheses testing. Optimality considerations continue to provide the organizing principle. However, they are now tempered by a much stronger emphasis on the robustness properties of the resulting procedures. This book is an essential reference for any graduate student in statistics. TOC:1. The general decision problem; 2. The probability background; 3. Uniformly most powerful tests; 4. Unbiasedness: Theory and first applications; 5. Unbiasedness: Applications to normal distributions; Confidence intervals; 6. Invariance; 7. Linear hypotheses; 8. Multivariate linear hypotheses; 9. The minimax principle; 10. Conditional inference