Curvature Measures in Data Analysis

Chapters in this book

1. Frontmatter I
2. Contents V
3. Preface IX
4. Kullback-Leibler Information for Ordering Genes Using Sperm Typing and Radiation Hybrid Mapping 1
5. Statistical Models For Forecasting Tornado Intensity 13
6. Incorporating Geographic Distribution into the Expected Number of Deaths in a Comparative Study 25
7. Fitting Random Coefficient Regression Models 33
8. Design and Analysis in Repeated Measurement Experiment : on Use of Preliminary Knowledge about Covariance Structure of Observations 41
9. Least Squares Estimators of Regression Coefficients by using Misspecified Covariance Structure for Error Process 49
10. Estimation of Regression Parameters When the Errors are Auto correlated 61
11. Centering and Scaling in Ridge Regression 77
12. Reparametrization Methods in Linear Minimax Estimation 87
13. Robust Tests for Linear Models 97
14. CIRCULAR REGRESSION 109
15. Properties of Least Squares Methods for Choosing the Parameter of the Simple Exponential Smoothing Predictor 129
16. Characterization of MTV model and its diagnostic checking 143
17. Limit theorems for statistical inference on stationary processes with strong dependence 151
18. Two Sample Problem in Time Series Analysis 165
19. Malliavin Calculus and Higher Order Statistical Inference 175
20. Estimation of Levels of Intensity in a Simple Self-Correcting Point Process 181
21. Additional Information and Precision of Estimators in Multivariate Structural Models 187
22. Sensitivity Analysis in Covariance Structure Analysis: A Numerical Investigation in the Case of Confirmatory Factor Analysis 197
23. Likelihood Ratio Tests for Means and Covariances with Incomplete Multinormal Observations 211
24. Maximally orthogonally invariant higher order moments and their application to testing elliptically-contouredness 225
25. Asymptotic Theory for the Concentrated Matrix Langevin Distributions on the Grassmann Manifold 237
26. On Canonical Correlations and the Degrees of Non-Orthogonality in the Three-way Layout 247
27. Partial Canonical Correlations Associated with the Inverse and Some Generalized Inverses of a Partitioned Dispersion Matrix 253
28. Approximation to the Upper Percentiles of T²_max – type Statistics 265
29. Curvature Measures in Data Analysis 277
30. Statistical Inference from Observations with Censoring and Grouping for Exponential Families 291
31. Pitman Closeness of the Equivariant Shrinkage Estimators of the Normal Variance 301
32. Normal Approximation to the Distribution of the Sample Mean in the Exponential Family 313
33. A New Approach to Asymptotic Distributions of Maximum Likelihood Ratio Statistics 325
34. Test of homogeneity of parameters 337
35. Determining the No-Observed-Adverse-Effect Level in Continuous Response 345
36. Asymptotics on the Statistics for a Family of Non-Regular Distributions 357
37. Error Bounds for Asymptotic Expansions of Some Distributions in a SUR Model 365
38. Second Order Asymptotic Bound for the Variance of Estimators for the Double Exponential Distribution 375
39. Asymptotic Expansions for E₀ {min ( t , m )} and E₀{x_min(t,m)} 383
40. Aspects of Goodness-of-Fit 395
41. On the Central Limit Theorem in Hilbert Space with Application to U-Statistics 407
42. Asymptotics of the Perturbed Sample Quantile for a Sequence of m—dependent Stationary Random Process 415
43. The L₁ Complete Convergence of Recursive Kernel Density Estimators Under Weak Dependence 427
44. MULTIVARIATE L₁-NORM ESTIMATION AND THE VULNERABLE BOOTSTRAP 441
45. Convergent Rates of M-Estimators for a Partly Linear Model 451
46. Discrete Distributions Related to Succession Events in a Two-State Markov Chain 467
47. How Large the Class of Waiting Distribution Can Be? 475
48. The use of the inverse Gaussian model for analysing the lognormal data 489
49. AN ANALISYS OF DEGRADATION DATA OF A CARBON FILM AND THE PROPERTIES OF THE ESTIMATORS 501
50. Bayesian Analysis for Exponential Zero-failure Data 513
51. The Estimation of Distribution under a Particular Random Censoring 521
52. New Main Effect Plus One Plans For 27 Factorial Experiments And Their Robustness Property Against Deletion Of Runs 529
53. PROFILES OF 2^m FACTORIAL DESIGNS 543
54. Characterization and Optimality of Block Designs with Estimation of Parameters Under Mixed Models 559