Institute of Mathematical Statistics Lecture Notes - Monograph Series

$L\sb 1$-statistical procedures and related topics: Papers from the 3rd International Conference on $L\sb 1$-Norm and Related Methods held in Neuchâtel, August 11--15, 1997

Editor: Yadolah Dodge

Lecture Notes--Monograph Series, Volume 31
Hayward, CA: Institute of Mathematical Statistics, 1997.
498 pp.

Subjects:

62-06 (primary)
Permanent link to this monograph: http://projecteuclid.org/euclid.lnms/1215454115
Mathmatical Reviews number (MathSciNet): MR1833578
ISBN:0-940600-43-9

Copyright © 1997, Institute of Mathematical Statistics.

Miscellaneous Frontmatter

i-ii

Preface

Yadolah Dodge; iii-viii

Table of Contents

ix-xii

Introduction

Yadolah Dodge; xv-xviii

Abstracts

xix-xxiv

Contributors

xxv-xxx

Prologue

Prologue

Measuring the performance of boundary-estimation methods

Peter Hall, and Marc Raimondo; 1-14

$l\sb 1$ computation: an interior monologue

Roger Koenker; 15-32

I. Estimation, Testing, and Characterization

Regression rank statistics

C. Gutenbrunner; 33-46

Unimodality and the asymptotics of $M$-estimators

Marc Hallin, and Ivan Mizera; 47-56

$L\sb 1$-test procedures for detection of change

M. Huskova; 57-70

Inadmissibility of robust estimators with respect to $L\sb 1$ norm

Jana Jureckovà, and L. B. Klebanov; 71-78

Properties of $L\sp 1$ residuals

Stephan Morgenthaler; 79-90

$L\sb 1$-tests in linear models: tests with maximum relative power

Christine Müller; 91-99

On $L\sb 1$-norm estimators in nonlinear regression and in nonlinear error-in-variables models

Silvelyn Zwanzig; 101-118

II. Computational Procedures and Algorithms

A comparison of two LP solvers and a new IRLS algorithm for L1 estimation

C. Adcock, and N. Meade; 119-132

Exact algorithms for computing the least median of squares estimate in multiple linear regression

José Agulló; 133-146

Polynomial algorithms for isotonic regression

Victor Chepoi, Daniel Cogneau, and Bernard Fichet; 147-160

Notes on the early history of elemental set methods

Richard William Farebrother; 161-170

Computational aspects of censored quantile regression

Bernd Fitzenberger; 171-186

On computation of regression quantiles: Making the Laplacian Tortoise faster

Stephen Portnoy; 187-200

Recent developments in PROGRESS

Peter J. Rousseeuw, and Mia Hubert; 201-214

III. Statistical Graphics: Foundations and Methodology

Dimension reduction via parametric inverse regression

Efstathia Bura; 215-228

A reduction paradigm for multivariate laws

Francesca Chiaromonte; 229-240

Exploring data sets using partial residual plots based on robust fits

Joseph W. McKean, and Simon J. Sheather; 241-256

Bayes factors for intrinsic and fractional priors in nested models. Bayesian robustness

Elias Moreno; 257-270

A comparison of procedures based on inverse regression

Simon J. Sheather, and Joseph W. McKean; 271-278

Interactive graphical modeling methods for regression

Nate Wetzel; 279-286

Time Series Analysis and Financial Statistics

Nonparametric bounds for the probability of future prices based on option values

Gilbert W. Bassett; 287-300

The marginal distributions of returns and volatility

Simon R. Hurst, and Eckhard Platen; 301-314

Some limit theory for $L\sb 1$-estimators in autoregressive models under general conditions

Keith Knight; 315-328

A Lagrange multiplier approach to testing for serially dependent error terms

Hans Nyquist; 329-336

Gaussianity and nonlinearity of foreign exchange rates

Nobuhiko Terui, and Takeaki Kariya; 337-350

Nonparametric Inference

Rank plots in the affine invariant case

B.M. Brown, T.P. Hettmansperger, J. Möttönen, and H. Oja; 351-362

Target estimation and implications to robustness

Luisa Turrin Fernholz; 363-372

Model checks in statistics: an innovation process approach

Winfried Stute; 373-383

Bootstrap selection of the smoothing parameter in density estimation under the Koziol-Green model

Jacobo de Uña-Álvarez, Wenceslao González-Manteiga, and Carmen Cadarso-Suárez; 385-398

Multivariate Analysis

On multivariate rank regression

Biman Chakraborty, and Probal Chaudhuri; 399-414

Multivariate density estimation by probing depth

Ricardo Fraiman, Regina Y. Liu, and Jean Meloche; 415-430

Modes, caps and concentration: a geometric approach to estimation on the sphere

Philip Milasevic, and Deborah Nolan; 431-442

Classification

An $L\sb 1$-norm procedure for fitting overlapping clustering models to proximity data

Anil Chaturvedi, and J. Douglas Carroll; 443-456

Hierarchical clustering and the construction of (optimal) ultrametrics using Lp-norms

Lawrence Hubert, Phipps Arabie, and Jacqueline Meulman

$L\sb 1$ and $L\sb 2$ approximation clustering for mixed data: scatter decompositions and algorithms

Boris Mirkin; 473-486

Epilogue

Epilogue

Robustness: Where are we now?

P. J. Huber; 487-498

Institute of Mathematical Statistics Lecture Notes - Monograph Series

Institute of Mathematical Statistics Lecture Notes - Monograph Series