Statistical Data Analysis: Based on the L1-Norm and Related Methods

by Yadolah Dodge (Editor)

Quantile Functions and Spread for Multivariate Distributions.- A New Definition of Multivariate M-quantiles.- A Depth Function and a Scale Curve Based on Spatial Quantiles.- Sample Quantiles for Locally Dependent Processes.- What are the Limiting Distributions of Quantile Estimators?.- New Selection Indices for University A Quantile Approach.- Exploring Transition Data Through Quantile Regression An Application to U.S. Unemployment Duration.- How to be Choquet Risk and Portfolio Optimization.- Expected Shortfall and Beyond.- Credit Scoring Using Binary Quantile Regression.- Prediction of 0-1-Events for Short- and Long-memory Time Series.- Nonparametric Quantile Regression with Applications to Financial Time Series.- An Algorithm for Optimal Bandwidth Selection for Smooth Nonparametric Quantile Estimation.- Orthogonal L1-norm Estimation.- L1-Derivatives, Score Functions and Tests.- Optimal Bias Robust M-estimates of Regression.- Robust Bootstrap for S-estimators of Multivariate Regression.- M-tests for Detection of Structural Changes in Regression.- Change Point Detection Based on Empirical Quantiles.- A Class of Probability Metrics and its Statistical Applications.- Whose Hare and Whose Tortoise.- Sign and Rank Covariance Statistical Properties and Application to Principal Components Analysis.- Multivariate Signed Randies' Interdirections or Tyler's Angles?.- L1-Depth, Depth Relative to a Model, and Robust Regression.- Perturbation Properties of Depth Regions.- Multivariate Trimmed Means Based on Data Depth.- Graphs, L1-Metrics and Clustering.- Classification Based on the Support Vector Machine and on Regression Depth.- A Robust Clustering Method and Visualization Tool Based On Data Depth.- The Median Extension of Data Analysis Metric Structures.- Text Classification for Mining Massive Aviation Inspection Reports.- A Comparison Between L1 Markov Random Field-Based and Wavelet-Based Estimators.- Elastic and Plastic Some Experimental Comparisons.- On the Bitplane Compression of Microarray Images.- Overdispersed Regression Models for Air Pollution and Human Health.- Atmospheric Pollution and Mortality in São Paulo.- Contributors.

478 pages, Hardcover

First published November 1, 1987