Robust Rank-Based and Nonparametric Methods: Michigan, USA, April 2015: Selected, Revised, and Extended Contributions (Springer Proceedings in Mathematics & Statistics Book 168)

The contributors to this volume include many of the distinguished researchers in this area. Many of these scholars have collaborated with Joseph McKean to develop underlying theory for these methods, obtain small sample corrections, and develop efficient algorithms for their computation. The papers cover the scope of the area, including robust nonparametric rank-based procedures through Bayesian and big data rank-based analyses. Areas of application include biostatistics and spatial areas. Over the last 30 years, robust rank-based and nonparametric methods have developed considerably. These procedures generalize traditional Wilcoxon-type methods for one- and two-sample location problems. Research into these procedures has culminated in complete analyses for many of the models used in practice including linear, generalized linear, mixed, and nonlinear models. Settings are both multivariate and univariate. With the development of R packages in these areas, computation of these procedures is easily shared with readers and implemented. This book is developed from the International Conference on Robust Rank-Based and Nonparametric Methods, held at Western Michigan University in April 2015. Includes theoretical research, novel applications of the methods, and research in computational procedures for these methods Topics span robust rank-based procedures for current models, like general linear models and cluster correlated models; robust rank-based multivariate methods, including affine invariant procedures; robust procedures for spatial analyses; and robust rank-based Bayesian procedures Includes implementation in R packages where possible Front Matter....Pages i-xiv Rank-Based Analysis of Linear Models and Beyond: A Review....Pages 1-24 Robust Signed-Rank Variable Selection in Linear Regression....Pages 25-45 Generalized Rank-Based Estimates for Linear Models with Cluster Correlated Data....Pages 47-60 Iterated Reweighted Rank-Based Estimates for GEE Models....Pages 61-79 On the Asymptotic Distribution of a Weighted Least Absolute Deviation Estimate for a Bifurcating Autoregressive Process....Pages 81-100 Applications of Robust Regression to “Big” Data Problems....Pages 101-120 Rank-Based Inference for Multivariate Data in Factorial Designs....Pages 121-139 Two-Sample Rank-Sum Test for Order Restricted Randomized Designs....Pages 141-161 On a Partially Sequential Ranked Set Sampling Paradigm....Pages 163-174 A New Scale-Invariant Nonparametric Test for Two-Sample Bivariate Location Problem with Application....Pages 175-187 Influence Functions and Efficiencies of k-Step Hettmansperger–Randles Estimators for Multivariate Location and Regression....Pages 189-207 New Nonparametric Tests for Comparing Multivariate Scales Using Data Depth....Pages 209-226 Multivariate Autoregressive Time Series Using Schweppe Weighted Wilcoxon Estimates....Pages 227-247 Median Stable Distributions....Pages 249-260 Confidence Intervals for Mean Difference Between Two Delta-Distributions....Pages 261-272 Back Matter....Pages 273-277