Statistical data analysis based on the L1-norm and related methods
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Statistical data analysis based on the L1-norm and related methods
North-Holland , Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1987
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注記
"Papers prepared at the First International Conference on Statistical Data Analysis Based on the L1-norm and Related Methods, held in Neuchâtel, Switzerland, from August 31-September 4, 1987"--Pref
内容説明・目次
内容説明
This book contains the invited papers presented at the First International Conference on Statistical Data Analysis based on the L 1 -Norm and Related Methods, held in Neuchatel (Switzerland) from August 31 to September 4, 1987. Recent results obtained in statistical data analysis, using the criterion of the least absolute value, are examined, and should be of interest to statisticians, economists, operations researchers, physicians, chemists, astronomers, management scientists and industrial engineers.
目次
An Introduction to Statistical Data Analysis L 1 -Norm Based (Y. Dodge). The Place of the L 1 -Norm in Robust Estimation (P.J. Huber). I. Historical Development. The Historical Development of the L 1 and L # Estimation Procedures (R.W. Farebrother). Bounded Influence Inference in Regression: A Review (E. Ronchetti). II. Computational Algorithms and Computer Packages. Algorithms for Unconstrained L 1 Linear Regression (J.E. Gentle, S.C. Narula, V.A. Sposito). The Reduced Gradient Algorithm (M.R. Osborne). The L 1 -Estimate as Limiting Case of an L p - or Huber-Estimate (H. Ekblom). A Review of Computational Methods for Solving the Nonlinear L 1 -Norm Estimation Problem (R. Gonin, A.H. Money). Fitting Data Through Homotopy Methods (J.-P. Schellhorn). BLINWDR: A Fortran Program for Robust and Bounded Influence Regression (R. Dutter). Solving Bounded Influence Regression Problems with ROBSYS (A. Marazzi). XploRe - A Computing Environment for eXploratory Regression (W. Hardle). III. Estimation, Characterization, Properties and Selection of Variables. L 1 -Distances in Statistical Inference: Comparison of Topological, Functional and Statistical Properties (I. Vajda). The Role Played by L 1 in Data Analysis (B. Fichet). L 1 -Embeddings of a Data Structure (I,D) (G. Le Calve). Assessing the Accuracy of the Sample Median: Estimated Standard Errors vs. Interpolated Confidence Intervals (S.J. Sheather). The Median of a Finite Measure on a Banach Space (J.H.B. Kemperman). Variable Selection in Linear Model Based on Trimmed Least Squares Estimator (J. Antoch). Numerical Techniques for Finding Estimates which Minimize the Upper Bound of the Absolute Deviation (A. Gaivoronski). Asymptotic Properties of Restricted L 1 -Estimates of Regression (J. Dupacova). Adaptive Combination of Least Squares and Least Absolute Deviations Estimators (Y. Dodge, J. Jureckova). IV. Statistical Inference Procedures. A Comparison of Asymptotic Testing Methods for L 1 -Regression (R. Koenker). Least Absolute Errors Analysis of Variance (J.W. McKean, R.M. Schrader). Small Sample Properties of Least Absolute Errors Analysis of Variance (R.M. Schrader, J.W. McKean). Bootstrap and Inference Procedures for L 1 -Regression (G. Stangenhaus). Invariant Tests in Bivariate Models and the L 1 -Criterion (B.M. Brown, T.P. Hettmansperger). Using Regression Fractiles to Identify Outliers (S. Portnoy). Various Discrepancy Measures in Model Testing (Two Competing Regression Models) (V.V. Fedorov). V. Nonparametric Analysis. Kernel Estimates of the Sparsity Function (A.H. Welsh). What Does Optimal Bandwidth Selection Mean for Nonparametric Regression Estimation? (J.S. Marron). Density Estimation from Dependent Sample (L. Gyorfi). VI. Cluster Analysis. Clustering by Means of Medoids (L. Kaufman, P.J. Rousseeuw). L 1 in Fuzzy Clustering (E. Trauwaert). Using the L 1 -Norm Within Cluster Analysis (H. Spath). VII. Applications. An Application of L 1 to Astronomy (P.J. Rousseeuw).
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