Optimal Lp-Metric for Minimizing Powered Deviations in Regression

[1]  M. Kanter,et al.  Stable Laws and the Imbedding of L p Spaces , 1973 .

[2]  V. Sposito On Unbiased Lp Regression Estimators , 1982 .

[3]  Aarnout Brombacher,et al.  Probability... , 2009, Qual. Reliab. Eng. Int..

[4]  P. McCullagh,et al.  Generalized Linear Models , 1992 .

[5]  W. Heiser,et al.  Graphical representations and odds ratios in a distance-association model for the analysis of cross-classified data , 2005 .

[6]  John Law,et al.  Robust Statistics—The Approach Based on Influence Functions , 1986 .

[7]  Edward A. Bender,et al.  Mathematical methods in artificial intelligence , 1996 .

[8]  Yann LeCun,et al.  Improving the convergence of back-propagation learning with second-order methods , 1989 .

[9]  Stan Lipovetsky,et al.  Latent class regression model in IRLS approach , 2005, Math. Comput. Model..

[10]  F. Downton,et al.  Introduction to Mathematical Statistics , 1959 .

[11]  Alan B. Forsythe,et al.  Robust Estimation of Straight Line Regression Coefficients by Minimizing pth Power Deviations , 1972 .

[12]  Edward L. Frome,et al.  A Comparison of Two Algorithms for Absolute Deviation Curve Fitting , 1976 .

[13]  J. Ramsay A Comparative Study of Several Robust Estimates of Slope, Intercept, and Scale in Linear Regression , 1977 .

[14]  Stan Lipovetsky,et al.  Ridge regression in two‐parameter solution , 2005 .

[15]  R. Tibshirani,et al.  Generalized Additive Models , 1991 .

[16]  B. Ripley,et al.  Robust Statistics , 2018, Encyclopedia of Mathematical Geosciences.

[17]  Cleve Moler,et al.  Mathematical Handbook for Scientists and Engineers , 1961 .

[18]  R. Fletcher,et al.  The Calculation of Linear Best L_p Approximations , 1971, Comput. J..

[19]  Trevor Hastie,et al.  Statistical Models in S , 1991 .

[20]  T. Hassard,et al.  Applied Linear Regression , 2005 .

[21]  J. Borwein,et al.  The Way of All Means , 1987 .

[22]  Stan Lipovetsky,et al.  A globally concave, monotone and flexible cost function: derivation and application , 2000 .

[23]  I. S. Gradshteyn,et al.  Table of Integrals, Series, and Products , 1976 .

[24]  Stan Lipovetsky,et al.  The Flexible CES-GBC Family of Cost Functions: Derivation and Application , 1997, Review of Economics and Statistics.

[25]  S. Weisberg Applied Linear Regression , 1981 .

[26]  L. Gordon A Stochastic Approach to the Gamma Function , 1994 .

[27]  Elementary Proofs of Basic Inequalities , 1969 .

[28]  Paul W. Holland,et al.  Two Robust Alternatives to Least-Squares Regression , 1977 .

[29]  J. R. Koehler,et al.  Modern Applied Statistics with S-Plus. , 1996 .

[30]  Johannes Ledolter,et al.  Statistical methods for forecasting , 1983 .

[31]  P. McCullagh,et al.  Generalized Linear Models , 1984 .

[32]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[33]  Yoshua Bengio,et al.  Pattern Recognition and Neural Networks , 1995 .

[34]  An Inequality of Jensen , 1946 .

[35]  Robert V. Hogg,et al.  Introduction to Mathematical Statistics. , 1966 .