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Bloomfield P., Steiger W. — Least Absolute Deviations
Bloomfield P., Steiger W. — Least Absolute Deviations



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Название: Least Absolute Deviations

Авторы: Bloomfield P., Steiger W.

Аннотация:

In this monograph we will present a unified treatment of the role of LAD techniques in several domains. Some of the material has appeared in recent journal papers and some of it is new.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 1 edition

Год издания: 1983

Количество страниц: 349

Добавлена в каталог: 12.04.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
McCormick, G.F.      273
McDonald, J.      113
Median      17
Median polish      119 120 121 122 123 124 126 128 129
Median polish, finite convergence of      125
Median polish, half-step of      120
Median polish, modified      124
Median polish, safety of      126
Median, conditional      139
Median, low      125
Median, mid-      111 126
Median, weighted      6 9 36 110 199 200 201 203 211 213 242 271
Midmedian      111 126
Midmedian polish      126
Midmedian polish, safety of      126
Minty, G.      167
Modified median polish      124
Monte Carlo experiment      98
Monte Carlo experiment for comparison of LAD algorithms      220 254
Monte Carlo experiment for linear model      64
Monte Carlo experiment for linear program      169 174
Multi-way table      109
Multi-way table, effects in      109 121
Multi-way table, LAD estimator for, statistical properties of      117
Multi-way table, LAD fits for      110
Multi-way table, LAD fits for, uniqueness of      112
Multiple pivot sequences      199
Narula, S.C.      34 273
Natural spline      133
Nelson, P.      75
Normal distribution      65 104
Normal distribution, contaminated      65 99
Normalized gradient      215 244
Normalized steepest edge      212 215
Objective function      152
Objective function, dual      160
One-way table      109
One-way table, LAD fits for      110
One-way table, LAD fits for, uniqueness of      110
Optimal hyperplane      7 52
Optimal partition      264
Optimal solution      152
Orveson, R.M.      34
Osborne, M.R.      33 35 75 259 266 270
Overdetermined equations      237
Pareto distribution      66 67 99 100 226 231
Peck, J.K.      263
Pfaffenberger, R.G.      34
Pivoting      156
Pivoting, multiple      199
Polish      see also "Low median polish median mid-median
Polished two-way table      121
Projected gradient      202 203 273
Quandt, R.E.      169 170
Quantile spline      137 140 141
Quantile, conditional      138 139
Quantile, local      141
Quantile, regression      138
R estimator      60 61 62 63
R estimator, central limit theorem for      64
Rabinowitz, P.      271
Rao, M.R.      34
Regression quantile      138
Regression, robust      60
Reinsch, C.H.      131
Residual      1 121
Residual, signs of      16
Rhodes, E.C.      10 34 181
Robbins, H.      75
Robers, P.C.      33 273
Robers, P.D.      161 179 271 272
Roberts, F.D.K.      33 34 183 186 196 197 199 220 272 273 274
Robust regression      60
Robust spline      131
Rosenberg, B.      34
Roughness of a function      132
Row-plus-column decomposition of two-way table      116 119
Ruppert, D.      74
Sadovski, A.N.      11 35 271
Safety of median polish      126
Safety of midmedian polish      126
Sampling behavior of LAD estimator for autoregression      98
Sampling behavior of LAD estimator for linear model      64
Saunders, P.      274
Schlossmacher, E.J.      34 262 263
Schoenberg, I.J.      131 135 149
Schorr, N.Z.      179
Schrijver, A.      167
Scores      61
Scores, sign      62
Seneta — Steiger algorithm      237
Seneta — Steiger algorithm, comparison with Bloomfield Steiger algorithm      253
Seneta — Steiger algorithm, data structure for      246
Seneta — Steiger algorithm, formal statement of      248
Seneta, E.      11 35 185 237 238 251 254
Sequence, ergodic      39
Sequence, stationary      39
Sharpe, W.F.      34
Sheynin, O.B.      7
Shrinivasan, V.      34
Siegel, A.F.      118 122 123 124 125 130
Sign scores      62
Signs of LAD residuals      16
Simplex method      153 156 176 177 178 184 186
Simplex method, computational complexity of      167 168
Simplex method, pivoting in      156
Sinclair, J.W.      11 33 179 183 186 202 273
Singleton, R.R.      34 181
Slack variable      153 159 160
Smoothing parameter for spline function      136
Smoothing spline      135
Spline Function      131
Spline function, iteratively reweighted least squares algorithm for      144
Spline function, knot of      131 140
Spline function, LAD      135
Spline function, LAD, generalized      137 140
Spline function, least squares      142
Spline function, natural      133
Spline function, quantile      137 140 141
Spline function, robust      131
Spline function, smoothing      135
Spline function, smoothing parameter for      136
Sposito, V.A.      11 34 35 273
Spyropoulos, K.      33 272
Stable distribution      74
Stable distribution, domain of attraction of      75 81 84 98 105 107
Startup phase of Barrodale — Roberts algorithm      186
Startup phase of Bloomfield — Steiger algorithm      212
Stationarity condition for autoregression      77
Stationary sequence      39
Statistical properties of LAD estimator      39
Statistical properties of LAD estimator for multi-way table      117
Steepest edge      187
Steepest edge, normalized      212 215
Steiger, W.L.      11 33 34 35 73 74 75 107 171 183 185 186 212 220 231 234 237 251 254 273
table      see also "Multi-way table" "One-way "Two-way
Tolle, J.W.      171
Tukey, J.W.      109 120 150 259
Turner, H.H.      11
Two-way table      115
Two-way table, interaction-free decomposition for      116
Two-way table, interaction-free decomposition of      119
Two-way table, LAD fits for      115 116 123 124
Two-way table, LAD fits for, uniqueness of      128
Two-way table, polished      121
Two-way table, row-plus-column decomposition for      116
Two-way table, row-plus-column decomposition of      119
Uniqueness of LAD fits      6 10 21 23 26
Uniqueness of LAD fits for multi-way table      112
Uniqueness of LAD fits for one-way table      110
Uniqueness of LAD fits for two-way table      128
Usow, K.H.      272 273 274
Utreras, F.I.      131
Wagner, K.      179 182 271
Wahba, G.      131 149 151
Wallace, T.D.      34
Watson, G.A.      33
Wei, C.      2 75
Weighted median      6 9 36 110 199 200 201 203 211 213 242 271
Weisberg, S.      57 76
Wellington, J.F.      34 273
Welsch, R.E.      76 263
Witzgall, C.      179
Wood, F.      270
Yohai, V.J.      107
Young, A.      33 271 272
Zeger, S.L.      145
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