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关注这篇论文的作者
Douglas G. Simpson
Yadolah Dodge

L1 统计分析及相关方法

研究问题
所给材料呈目录形态,涵盖 L1 估计与稳健统计在回归、分位数、时间序列及多元分析中的方法问题,未提出统一研究问题。
方法与思路
目录列出线性规划、回归分位数、次序与秩统计量、递归时间序列方法及计算算法等主题,具体方法须分别查阅相应章节。
材料陈述的贡献
材料展示一组有关 L1 与稳健统计的理论、图形分析和计算主题,不能据此归纳为单篇论文的统一定理或实证贡献。
阅读关注点
应先核对文献类型及章节原文,再按兴趣阅读条件分位数估计或序列相关误差章节,分别确认假设、算法和结果。
阅读边界
仅据 OpenAlex 索引材料,稿件版本未注明;所给内容类似目录而非研究摘要,无法判断各章节的具体结论或整部作品的统一贡献。

原文摘要

Prologue. Thoughts on Real Data and Statistics (Y. Dodge). Some Statistical Tools for the Analysis of Complex Molecular Spectra (A.F. Ruckstuhl). Estimation, Testing and Property Characterization. The Gauss Markov Property for the Median (G.W. Basset, Jr.,). A Class of Estimators Based on Adaptative Convex Combinations of Two Estimation Procedures (Y. Dodge, J. Jureckova). Robustness of L1 Regression in the Light of Linear Programming (J. Dupacova). A Linear Model with a Pseudoisotropic Distribution of Errors (S. Kotz, Y.G. Kuritsyn). L1-Estimation and Testing in Conditionally Contaminated Linear Models (C.H. Muller). Explicit Scale Estimators with High Breakdown Point (P.J. Rousseeuw, C. Croux). M-Type Tests in Linear Models: Some Comments on Studentizing, and a Small Simulation (W.A. Stahel, P. Hartmann). High Breakdown Estimators in Nonlinear Regression (A. Stromberg). Graphical Analysis. Regression Plotting Based on Quadratic Predictors (R.D. Cook). The Notion of Sphericity for Finite L1-Figures of Data Analysis (B. Fichet). The Interpretation of Residuals Based on L1 Estimation (S.J. Sheather, J.W. McKean). Graphical Methods for Model Comparison (S. Weisberg). Nonparametric Estimation in Linear Models. Generalized Regression Quantiles: Forming a Useful Toolkit for Robust Linear Regression (P. Chaudhuri). Efficient L-Estimators in Semiparametric Linear Heteroscedastic Models (C. Gutenbrunner). Bounded Influence and High Breakdown Point Regression with Linear Combinations of Order Statistics and Rank Statistics (S. Heiler). Nonparametric Estimation of Conditional Quantile Functions (R. Koenker, S. Portnoy, P. Ng). Time Series Analysis. Recursive Time Series Methods in L1-Norm (T. Cipra, M.R. Romera). Asymptotics of Boscovich-Type Parameter Estimates for Infinite Variance Autoregressive Processes (K. Knight). L1-Norm Estimation of Regression Models with Serially Dependent Error Terms (H. Nyquist). Multivariate Analysis. On Multivariate Notions of Sign and Rank (T.P. Hettmansperger, J. Nyblom, H. Oja). Data Depth and Multivariate Rank Tests (R.Y. Liu). A Two Sample Extension of the Multivariate Interdirection Sign Test (R.H. Randles). Computational Procedures. Generating Median Graphs from Boolean Matrices (H.-J. Bandelt). Computational Algorithms for Least Absolute Value Regression (T.E. Dielman). Algorithms for Non-Linear Lp Estimation (H. Ekblom, K. Madsen). The Geometrical Foundations of a Class of Estimation Procedures which Minimise Sums of Euclidean Distances and Related Quantities (R.W. Farebrother). Computing P-Values in Robust Inference: Location/Scale (C. Field). Testing Software for Robust Regression (J.E. Gentle, S.C. Narula, V.A. Sposito). A Continuation Method for Linear L1 Estimation (K. Madsen, H.B. Nielsen). The Calculation of the Oja Multivariate Median (A.O. Niinimaa). Distributions and Density Estimation.

笔记与分组
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