Admissibility conditions for estimators of exponential type functions

Chapters in this book

1. I-X I
2. Section 1: Probability Theory
3. Asymptotic normality of the solutions of the multidimensional Burger equation with random data 1
4. Multivariate minimal moments 15
5. A geometric approach to the Gaussian law 25
6. Axiomatic foundations of the theory of interval-probability 47
7. Section 2: Probabilistic Expert Systems
8. AKTALYST—a causal probabilistic expert system for stock market analysis 65
9. Focusing and learning in possibilistic dependency networks 79
10. A Bayesian approach to imprecision in belief nets 91
11. Causal probabilistic networks and their application to metabolic processes 107
12. Maximum likelihood estimation and learning in large systems 131
13. Section 3: Statistical Decision Theory
14. An independence transformation in decision theory 145
15. Set-valued decision functions and reduction of dimensionality by selection of variables 161
16. Empirical Bayes two-stage procedures for selecting the best normal population compared with a control 171
17. Four concepts in decision theory based on order completeness of L1 197
18. Admissibility conditions for estimators of exponential type functions 205
19. Section 4: Simulation and Resampling
20. Variance estimation in generalized linear models using the bootstrap 217
21. Using the jackknife in the analysis of contingency tables for the estimation of the common odds ratio 227
22. A certain robustness for tests in the case of discrete distributions 239
23. Section 5: Linear Models and Design of Experiments
24. Estimating linear measurement error models via M-estimation 247
25. Bayesian generalized errors in variables (GEIV) models for censored regressions 261
26. Experimental design for linear models with higher interaction terms 281
27. Missing values in regression: mixed and weighted mixed estmation 289
28. Section 9: General Methods and Applications
29. The amount of information and the bound for the order of consistency for a location parameter family of densities 303
30. An ordinal model for constructing a quadratic objective function of economic policy 313
31. Selection of prognostic factors concerning prospective studies with censored observations: comparison of Cox-regression and CART-method 331
32. Alphabetical List of Contributors 339
33. Author Index 342