Advances in Order Restricted Statistical Inference

Chapter 1 Introduction

Chapter 2 Bayesian and Maximum Likelihood Approaches to Order-Restricted Inference for Models for Ordinal Categorical Data

Chapter 3 A Method for Finding Projections onto the Intersection of Convex Sets in Hilbert Spaces

Chapter 4 Isotonic M-Estimation

Chapter 5 An Application of Isotonic Regression to Multivariate Density Estimation

Chapter 6 Least-Squares Regression Under Convexity and Higher-Order Difference Constraints with Application to Software Reliabiilty

Chapter 7 Dose-Response Analysis under Unimodality of Response-to-Dose

Chapter 8 On Nonparametric Tests for Ordered Alternatives in Two-Way Layouts

Chapter 9 A Class of Distribution-Free Tests for Testing Homogeneity of Variances Against Ordered Alternatives

Chapter 10 Robustness of $${\overline {\rm{\chi }} ^2}$$ and $${\overline {\rm{E}} ^2}$$ : A Case for a Ranked Test in Order-Restricted Inference

Chapter 11 Multiple Contrast Tests for Testing Against a Simple Tree Ordering

Chapter 12 On Testing Symmetry and Unimodality

Chapter 13 On Tests Under Order Restrictions in Reduction of Dimensionality

Chapter 14 Power Series Approximations to the Null Distributions of Some Chi-Bar-Square Statistics

Chapter 15 Conditional Tests with an Order Restriction as a Null Hypothesis