GENERALIZED INVERSE OF A MATRIX AND ITS APPLICATIONS

Kapitel in diesem Buch

1. Frontmatter I
2. PREFACE IX
3. CONTENTS XI
4. UPPER AND LOWER RISKS AND MINIMAX PROCEDURES 1
5. ON INEQUALITIES OF CRAMÉR-RAO TYPE AND ADMISSIBILITY PROOFS 17
6. THE LIKELIHOOD RATIO TEST FOR THE MULTINOMIAL DISTRIBUTION 31
7. ON THE EXISTENCE OF PROPER BAYES MINIMAX ESTIMATORS OF THE MEAN OF A MULTIVARIATE NORMAL DISTRIBUTION 51
8. ON THE WIENER PROCESS APPROXIMATION TO BAYESIAN SEQUENTIAL TESTING PROBLEMS 57
9. SOME NEW RESULTS IN SEQUENTIAL ESTIMATION THEORY 85
10. SEQUENTIAL RANK TESTS ONE SAMPLE CASE 97
11. EXAMPLES OF EXPONENTIALLY BOUNDED STOPPING TIME OF INVARIANT SEQUENTIAL PROBABILITY RATIO TESTS WHEN THE MODEL MAY BE FALSE 109
12. SOME ASYMPTOTIC PROPERTIES OF LIKELIHOOD RATIOS ON GENERAL SAMPLE SPACES 129
13. ON THE NORMAL APPROXIMATION FOR A CERTAIN CLASS OF STATISTICS 153
14. LOCAL ASYMPTOTIC MINIMAX AND ADMISSIBILITY IN ESTIMATION 175
15. APPLICATIONS OF CONTIGUITY TO MULTIPARAMETER HYPOTHESES TESTING 195
16. ITERATED LOGARITHM ANALOGUES FOR SAMPLE QUANTILES WHEN 227
17. LIMITS OF EXPERIMENTS 245
18. EFFICIENCY ROBUSTNESS OF ESTIMATORS 283
19. ISOTONIC TESTS FOR CONVEX ORDERINGS 293
20. ASYMPTOTICALLY DISTRIBUTION FREE STATISTICS SIMILAR TO STUDENT'S 325
21. DECISION THEORY FOR SOME NONPARAMETRIC MODELS 331
22. A FEW SEEDLINGS OF RESEARCH 345
23. CLASSES OF DISTRIBUTIONS APPLICABLE IN REPLACEMENT WITH RENEWAL THEORY IMPLICATIONS 395
24. SPACINGS REVISITED 417
25. ON LARGE SAMPLE PROPERTIES OF CERTAIN NONPARAMETRIC PROCEDURES 429
26. ASYMPTOTIC DISTRIBUTION OF THE LOG LIKELIHOOD RATIO BASED ON RANKS IN THE TWO SAMPLE PROBLEM 437
27. ON SOME RESULTS AND PROBLEMS IN CONNECTION WITH STATISTICS OF THE KOLMOGOROV-SMIRNOV TYPE 459
28. EFFICIENT ESTIMATION OF REGRESSION COEFFICIENTS IN TIME SERIES 471
29. THE SPECTRAL ANALYSIS OF STATIONARY INTERVAL FUNCTIONS 483
30. CREDIBILITY PROCEDURES 515
31. SOME EFFECTS OF ERRORS OF MEASUREMENT ON LINEAR REGRESSION 527
32. ESTIMATION FOR A REGRESSION MODEL WITH AN UNKNOWN COVARIANCE MATRIX 541
33. ON THE STATISTICAL THEORY OF ANALYTIC GRADUATION 569
34. GENERALIZED INVERSE OF A MATRIX AND ITS APPLICATIONS 601
35. METRIC CONSIDERATIONS IN CLUSTER ANALYSIS 621
36. MEASUREMENT OF DIVERSITY 631
37. SOME MULTIPLICATIVE MODELS FOR THE ANALYSIS OF CROSS CLASSIFIED DATA 649
38. A MISSING INFORMATION PRINCIPLE: THEORY AND APPLICATIONS 697
39. RECENT RESULTS ON USING THE PLAY THE WINNER SAMPLING RULE WITH BINOMIAL SELECTION PROBLEMS 717
40. EXACT SIGNIFICANCE TESTS FOR CONTINGENCY TABLES EMBEDDED IN A V CLASSIFICATION 737