An introduction to based statistical data analysis
Tài liệu tham khảo
Abdelmalek, 1980, A Fortran subroutine for the L1 solution of overdetermined systems of linear equations,, ACM Trans. Math. Software, 6, 228, 10.1145/355887.355895
Andrews, 1974, A robust method for multiple linear regression, Technometrics, 16, 523, 10.2307/1267603
Armstrong, 1977, A special purpose linear programming algorithm for obtaining least absolute value estimates in a linear model with dummy variables, Commun. Statist., B6, 383, 10.1080/03610917708812052
Armstrong, 1977, An algorithm for a restricted discrete approximation problem in the L1 norm, SIAM J. Numer. Anal., 14, 555, 10.1137/0714034
Armstrong, 1978, AS132: Least absolute value estimates for a simple linear regression problem, Appl. Statist., 27, 363, 10.2307/2347181
Armstrong, 1977, Obtaining least absolute value estimates for a two-way classification model, Commun. Statist., B6, 365, 10.1080/03610917708812051
Armstrong, 1979, A revised simplex algorithm for the absolute deviation curve fitting problem, Commun. Stat., B8, 175, 10.1080/03610917908812113
Arthanari, 1981
Ashar, 1963, A sampling study of minimum absolute deviations estimators, Oper. Res., 11, 747, 10.1287/opre.11.5.747
Barrodale, 1973, An improved algorithm for discrete L1 linear approximation, SIAM J. Numer. Anal., 10, 839, 10.1137/0710069
Barrodale, 1974, Algorithm 478: Solution of an overdetermined system of equations in the L1 norm, Commun. Assoc. Comput. Mach., 17, 319
Barrodale, 1978, An efficient algorithm for discrete L1 linear approximation with linear constraints, SIAM J. Numer. Anal., 15, 603, 10.1137/0715040
Bartels, 1977, LAV regression: A special case of piecewise linear minimization, Commun. Stat., B6, 329, 10.1080/03610917708812048
Bartels, 1978, Minimization techniques for piecewise differentiable functions: The L1 solution to an overdetermined linear system, SIAM J. Numer. Anal., 15, 224, 10.1137/0715015
Bassett, 1978, Asymptotic theory of least absolute error, J. Amer. Statist. Assoc., 73, 618, 10.2307/2286611
Bickel, 1975, One-step Huber estimates in the linear model, Journal of the American Statistical association, 70, 428, 10.2307/2285834
Bloomfield, 1980, Least absolute deviations curve-fitting, SIAM J. Sci. Statist. Comput., 1, 290, 10.1137/0901019
Bloomfield, 1983
Boscovich, 1757, De litteraria expeditione per pontificiam ditionem, et synopsis amplioris operis ac habentur plura eius ex exemplaria etiam sensorum impressa, Bononienci Scientiarum et Artium Instituto Atque Academia Commentarrii, 4, 353
Bourdon, 1974, A Monte Carlo sampling study for further testing of the robust regression procedure based upon the kurtosis of the least squares residuals
G.E.P. Box, 1953, Non-normality and tests on variances, Biometrika, 40, 318, 10.1093/biomet/40.3-4.318
Charnes, 1955, Optimal estimation of executive compensation by linear programming, Manage. Sci., 1, 138, 10.1287/mnsc.1.2.138
Decroye, 1983, The equivalence of weak, strong and complete convergence in L1 for kernel density estimates, Annals of Statistics, 11, 896, 10.1214/aos/1176346255
Defroye, 1985
Dielman, 1984, Least absolute value estimation in regression models: An annotated bibliography, Commun. Statist., 13, 513, 10.1080/03610928408828697
Dielman, 1982, LAV (least absolute value) estimation in linear regression:
Dodge, 1986, Some difficulties involving nonparametric estimation of a density function, J. of Official Statistics, 2, 193
Dodge, 1987, Adaptive combination of least squares and least absolute deviations estimators
Dunn, 1974, A fuzzy relative of the ISODATA process and its use in detecting compact well-separated clusters, J. of Cybernetics, 3, 32, 10.1080/01969727308546046
Dupacova, 1987, Asymptotic properties of restricted L1-estimates of regression
Edgeworth, 1887, On observations relating to several quantities, Phil. Mag., 24, 222, 10.1080/14786448708628083
Ekblom, 1987, The L1-estimate as limiting case of an Lp- or Huber-estimate
Farebrother, 1987, Mechanical representations of the L1 and L2 problems
Farebrother, 1987, The historical development of the L1 and L∞ estimation procedures, in
Fedorov, 1987, Various discrepancy measures in model testing (two competing regression models
Gaivoronski, 1987, Numerical techniques for finding estimates which minimize the upper bound of the absolute deviation
Galilei, 1632, Dialogo dei massimi sistemi
Gentle, 1977, Least absolute values estimation: An introduction, Commun. Statist., B6, 313, 10.1080/03610917708812047
Gentle, 1987, Algorithms for unconstrained L1 linear regression
Glahe, 1970, The small sample properties of simultaneous equation least absolute estimators vis-vis least squares estimators, Econometrica, 38, 742, 10.2307/1912204
Gonin, 1987, A review of computational methods for solving the nonlinear L1-norm estimation problems
Gonin, 1987, Outliers in physical processes: L1- or adaptive Lp-norm estimation
Györfi, 1987, Density estimation from dependent sample
Hample, 1968, Contributions to the theory of robust estimation
Hample, 1971, A general qualitative definition of robustness, Annals of Math. Statistics, 42, 1887, 10.1214/aoms/1177693054
Hampel, 1986
Harter, 1974, The method of least squares and some alternatives I, Int. Stat. Rev., 42, 235, 10.2307/1402983
Harter, 1974, The method of least squares and some alternatives II, Int. Stat. Rev., 42, 235, 10.2307/1402983
Harter, 1975, The method of least squares and some alternatives III, Int. Stat. Rev., 43, 1, 10.2307/1402658
Harter, 1975, The method of least squares and some alternatives IV, Int. Stat. Rev., 43, 125, 10.2307/1402897
Harter, 1975, The method of least squares and some alternatives IV, Int. Stat. Rev., 43, 273, 10.2307/1403111
Harter, 1975, The method of least squares and some alternatives V, Int. Stat. Rev., 43, 269, 10.2307/1403110
Harter, 1976, The method of least squares and some alternatives VI, Int. Stat. Rev., 44, 113
Huber, 1964, Robust estimation of a location parameter, Ann. Math. Statist., 35, 73, 10.1214/aoms/1177703732
Huber, 1972, Robust statistics: A review, Ann. Math. Statist., 43, 1041, 10.1214/aoms/1177692459
Huber, 1973, Robust regression: Asymptotics, conjectures, and Monte Carlo, Ann. Statist., 1, 799, 10.1214/aos/1176342503
Huber, 1981
Huber, 1987, The place of the L1-norm in robust estimation
Jensen, 1969, A dynamic programming algorithms for cluster analysis, Oper. Res., 17, 1034, 10.1287/opre.17.6.1034
Josvanger, 1983, L1-norm estimates for the simple regression problem, Commun. Statist., B12, 215, 10.1080/03610918308812313
Karst, 1958, Linear curve fitting using least deviations, J. Amer. Statist. Assoc., 53, 118, 10.2307/2282572
Kaufman, 1987, Clustering by means of medoids
Khachian, 1979, A polynomial algorithm for linear programming, Doklady Akad. Nauk USSR, 244, 93
Kiountouzis, 1973, Linear programming techniques in regression analysis, Appl. Stat., 22, 69, 10.2307/2346304
Koenker, 1987, A comparison of asymptotic testing methods for L1-regression
Koenker, 1982, Tests of hypotheses and L1 estimation, Econometrica, 50, 1577, 10.2307/1913398
Laplace, 1793, Sur quelques points du systéme du montde, Mémories de l'Académie Royale des Sciences de Paris, 1
1895, Vol. 11, 477
Laplace, 1812
1886, Vol. 7
Laplace, 1818, Deuxième supplément to Laplace
McKean, 1987, Least absolute errors analysis of variance
Meketon, 1986
Narula, 1987, The minimum sum of absolute errors regression, J. Quality Tech., 19, 37, 10.1080/00224065.1987.11979031
Osborne, 1987, The reduced gradient algorithm
Parzen, 1962, On the estimation of a probability density function and the mode, Annals of Mathematical Statistics, 40, 1065, 10.1214/aoms/1177704472
Pfaffenberger, 1978, Absolute deviations curve fitting: An Alternative to Least Squares
Rhodes, 1930, Reducing observations by the method of minimum deviations, Phil. Mag., 9, 974, 10.1080/14786443008565068
Rice, 1964, Norms for smoothing and estimation, SIAM Rev., 6, 243, 10.1137/1006061
Ronner, 1977, P-norm estimators in a linear regression model
Ronner, 1984, Asymptotic normality of p-norm estimators in multiple regression, Z. Wahrscheinlichkeitstheorie Verw. Gebiete, 66, 613, 10.1007/BF00531893
Rosenberg, 1977, A simple approximation of the sampling distribution of least absolute residuals regression estimates, Commun. Stat., B6, 421, 10.1080/03610917708812055
Rousseeuw, 1987, An application of L1 to astronomy
Schrader, 1987, Small sample properties of least absolute errors analysis of variance
Sielken, 1973, Two linear programming algorithms for unbiased estimation of linear models, J. Amer. Statist. Assoc., 68, 639, 10.2307/2284792
Singleton, 1940, A method of minimizing the sum of absolute values of deviations, Ann. Math. Statist., 11, 301, 10.1214/aoms/1177731869
Späth, 1987, Using the L1 norm within cluster analysis
Stangenhaus, 1987, Bootstrap and inference procedures for L1 regression
Stigler, 1973, Studies in the history of probability and statistics, XXXII: Laplace, Fisher, and the discovery of sufficiency, Biometrika, 60, 439, 10.2307/2334992
Stigler, 1981, Gauss and the invention of least squares, Annals of Statistics, 9, 465, 10.1214/aos/1176345451
Taylor, 1973, Estimation by minimizing the sum of absolute errors, 169
Trauwaert, 1987, L1 in fuzzy clustering
Tukey, 1977
Turner, 1887, On Mr. Edgeworth's method of reducing observations relating to several quantities, Phil. Mag, 24, 466, 10.1080/14786448708628132
Vajda, 1987, L1-distances in statistical inference: Comparison of topological, functional and statistical properties
Vinod, 1969, Integer programming and theory of grouping, J. Amer. Statist. Assoc., 64, 506, 10.2307/2283635
Wagner, 1959, Linear programming techniques for regression analysis, J. Amer. Statist. Assoc., 54, 206, 10.2307/2282146
Wilson, 1978, Least squares versus minimum absolute deviations estimation in linear models, Decis. Sci., 9, 322, 10.1111/j.1540-5915.1978.tb01388.x