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Bowman A.W., Azzalini A. — Applied Smoothing Techniques for Data Analysis: The Kernel Approach with S-Plus Illustrations
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Название: Applied Smoothing Techniques for Data Analysis: The Kernel Approach with S-Plus Illustrations
Авторы: Bowman A.W., Azzalini A.
Аннотация: This book describes the use of smoothing techniques in statistics and includes both density estimation and nonparametric regression. Incorporating recent advances, it describes a variety of ways to apply these methods to practical problems. Although the emphasis is on using smoothing techniques to explore data graphically, the discussion also covers data analysis with nonparametric curves, as an extension of more standard parametric models. Intended as an introduction, with a focus on applications rather than on detailed theory, the book will be equally valuable for undergraduate and graduate students in statistics and for a wide range of scientists interested in statistical techniques.
The text makes extensive reference to S-Plus, a powerful computing environment for exploring data, and provides many S-Plus functions and example scripts. This material, however, is independent of the main body of text and may be skipped by readers not interested in S-Plus.
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Рубрика: Computer science /
Статус предметного указателя: Готов указатель с номерами страниц
ed2k: ed2k stats
Год издания: 1997
Количество страниц: 193
Добавлена в каталог: 18.12.2008
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Предметный указатель
ratio statistic 87 88 98
-value 43 47 80 81 87-89 93 100 105 109 111 116 119 125 154 161 171
-value, empirical 43 47 80 81 109 111
encov, N. N. 20 177
Abramson, I. S. 27 175
Additive model 150-155 157-160 163-168
Ahmadi, S. 176
Aitchison, J. 22 27 175
Aitchison, O. C. 184
Aitken, C. G. G. 22 175
Al - Wasel, I. 148 178
Allen, D. M. 140 180
Altman, D. G. 167 183
Altman, N. S. 144 175
Analysis of covariance 126
Analysis of covariance, nonparametric 126 171
Analysis of power 147
Analysis of variance, nonparametric 154 164
Anderson, A. H. 137 175
Anderson, N. H. 114 116 126 175
Anderson, T. W. 39 175
Animation 5 52 68 172 173
Asymptotic properties 26-28 31 32 34 46 70 75 77 84 131 133-137 165
Autocorrelation 130 131 137-140 143- 146 149
Autocovariance 133 139 144
Autoregression 134 135
Azzalini, A. 10 21 47 104 131 135 140 148 175
Backfitting algorithm 153 156 160 167
Bailey, T. 112 175
Bandwidth 3 17-20 23-25 27 32-35 37 46 47 62-64 67 71 78 79 84 105 116 127 130 131 148
bandwidth selection 31-34 47 77 133
Bandwidth selection, normal optimal 31-33 35 36 39 42 46 47 108 114 170 172
Bandwidth selection, oversmoothed 32
Bandwidth selection, plug-in method for 34 78 171
Bandwidth selection, Rice method for 139-141
Bandwidth, optimal 31 32 34 77 139 140
Bandwidth, variable 17 19 24 27 33 35 37 46 62 64 71 78 79 116
Basis, orthogonal 19
Baxter, M. S. 184
Beran, R. 61 176
Beta distribution 24
Bias 25-27 29 30 38 44 46 50 70-72 74-77 82 83 89 109 118-120 124 127 129 130 133 135 139
Bickel, P. J. 38 176 178
Binning 22 67 170
Binomial distribution 57 58 99 120 163
Bissell, A. F. 100-104 106 176
Bithell, J. F. 112 113 176
Bjerve, S. 44 176
Blaber, S. J. M. 183
Block, E. 62 176
Blyth, S. 178
Bootstrap 44 45 82 83 100 104-106 116 121 170 172 173
Bootstrap, smoothed 45 116
Borchers, D. L. 154 157 167 176
Bosq, D. 133 147 176
Bowman, A. W. 7 10 27 32 35 38 39 46 61 82 83 104 126 131 140 175-177 180 184- 186
Bradlow, E. 178
Breiman, L. 17 167 176
Brewer, D. T. 183
Brillinger, D. R. 129 147 176
Brinkman, N. D. 176
Brockmann, M. 84 176
Buckland, S. T. 176
Buja, A. 152 177
Burridge, C. Y. 183
Caesar, D. 183
Calibration 48 49
Censoring see Data censored
Central limit theorem 26 75
Chambers, J. M. 177
Chen, R. 181
Cheng, B. 71
Chi-squared distribution 88 93
Chiogna, M. 148 175
Chu, C. - K. 67 177
Clark, R. M. 52 177
Cleveland, W. S. 50 63 64 67 71 79 104 167 168 177
Cluster see Data clustered
Clustering 35
Confidence bands 75 142
confidence intervals 29 45 75 82 84
Connell, M. 183
Convolution 25 32 37 38 40 108
Cook, R. D. 104 177
Copas, J. B. 20 177
Correlation 42 44 93 125 130 131 139 144-146
Correlation, serial 93 129 137 140 141 143-146 149 173
Correlation, spatial 157
Cox, D. D. 84 104 177
Crompton, D. W. T. 185
Cross-validation 32-35 46 47 77-79 133 135 144 148 153 170
Cross-validation, biased 34
Cross-validation, generalised 78 144 145
Cross-validation, smoothed 34
Crowley, J. 61 179
Curse of dimensionality 11
Curvature, rate of 25
Daly, F. 180
Darling, D. A. 39 175
data, binary 59 120 121
Data, censored 22 24 59-62 174
Data, circular 13 23
Data, clustered 47
Data, compositional 22 27
Data, directional 12-14 173
Data, discrete 22 131
Data, effective 131
Data, longitudinal 137 147 148
Data, missing 170
Data, multivariate 34 38 39 167
Data, point process 22
Data, spherical 13 14 35
Data, survival 59-62 68 85 174
Data, unbalanced 148
Dataset, birthweight 56 58 59 85 127 168
Dataset, Bissell 104 106
Dataset, Canadian lynx 135 136
Dataset, cherry trees 96 97
Dataset, coronary sinus potassium 142 148
Dataset, follicle 63 64 71
Dataset, Great Barrier Reef 52-54 79 82 86 88-93 105 117-121 128 151- 154 158 160-162 168
Dataset, heart transplant 60
Dataset, laryngeal cancer 112-117 126 127
Dataset, magnetic remanence 12 13
Dataset, mildew 95
Dataset, New York City temperature 145-147
Dataset, Old Faithful geyser 10 11 129 130
Dataset, onions 124-127
Dataset, plasma citrate concentration 138 141
Dataset, radiocarbon 76 79 83 84
Dataset, tephra 28 32-34 36 38-42 46 47
Dataset, trout 99 100 103 106
Dataset, worm 68 85 121-123 168
Davies, S. J. 181
Davison, A. C. 44 177
Degrees of freedom 74 75 80 84 88 120 153 154 157 160 162 165
Degrees of freedom, approximate 74 75 84 120 153 154 157 160 162 165
Dennis, D. 183
Deviance 98 99 102 164 165
Devlin, S. J. 64 104 177
Devroye, L. 46 177
Dews, G. D. 183
Diblasi, A. 104 177
Diggle, P. J. 12 22 115 116 126 148 177 178 181 186
Dispersion parameter 98 102
Distribution function, estimation of 21 35 47
Dobson, A. J. 98 178
Doksum, K. A. 44 61 176 178
Donnell, D. 177
Draper, N. R. 95 178
Duan, N. 167 178
Dugmore, A. J. 27 178
Durbin - Watson statistic 93 94
Ealk, M. 21 178
Ellis, A. N. 183
Embleton, B. J. J. 179
Empirical distribution function 18 21 38 39
Epanechnikov, V. A. 46 178
Eubank, R. L. 65 75 104 178
Factor 57 70 71 78
Faddy, M. J. 62 178
Fan, J. 46 50 59 62 66 67 71 72 77 78 84 147 179
Farmer, M. 183
Fernholz, L. T. 21 179
Filliben, J. J. 38 179
Firth, D. 102 104 179
Fisher distribution 12 174
Fisher scoring 164
Fisher, N. I. 12 24 35 178 179
Foster, P. J. 7 27 39 46 176
Fowlkes, E. B. 104 179
Fractional polynomial 167
Friedman, J. H. 150 167 176 179
Fry, G. J. 183
Gasser - M ller estimate 64 78 139
Gasser, T. 15 64 74 78 84 139 147 176 179 181 184
Gatrell, A. C. 112 175 178
Generalised additive model 150 163 164 167 168 170
Generalised linear model 98-104 163
Gentleman, R. 61 179
Gijbels, I. 46 50 59 62 66 67 71 77 78 84 147 179
Glaister, J. 183
Glosup, J. 179
Goodness-of-fit 38 39 41 172 173
Gosden, R. G. 62 178
Granovsky, B. L. 46 180
Green, P. J. 59 65 84 95 150 160 163 164 167 180
Gribble, N. 183
Grizzle, J. E. 140 180
Grosse, E. H. 177
Guttman, I. 95 178
Gy rfi, L. 46 133 177 180
H rdle, W. 82-84 135 136 147 175 180 181
Haigeng, W. 185
Hall, P. 34 44 46 75 84 117 126 175 180 181
Hand, D. J. 57 99 180
Hanging rootogram 29
Hart, J. D. 117 126 139 140 144 180-182
Hastie, T. 62 67 71 75 78 150 151 153 154 161-164 166-168 177 181 185
Hazard function 22 61 62
Heckmann, N. E. 179
Herrmann, E. 144 176 181
Hill, B. J. 183
Hinkley, D. V. 177 179
histogram 1-5 14 15 17 21 22 24 29
Hj rt, N. L. 181
Hodges, J. L., Jr 178
Hogg, R. V. 31 181
Holliday model 123 125
Hosmer, D. W. Jr 53 181
Independence, testing 42
Intensity function 22 113
Jane 1 181
Jennen - Steinmetz, C. 179
Jennison, C. 180
Jensen, E. B. 175
Jiangqin, X. 185
Jittering 47 54
Jiyuan, P. 185
Joe, H. 43 181
Johnson, N. L. 88 181
Johnstone, I. M. 84 180
Joiner, B. L. 184
Jones, I. C. 15 21 22 26 33-36 42 44 46 47 62 67 178 181 184 185
K hler, W. 179
Kaiwu, X. 185
Kaplan - Meier survivor function 21 22 24 60 174
Kay, J. W. 180
Kelsall, J. E. 116 126 181
Kent, J. T. 43 181
Kernel function 3 4 6 7 10 12-18 20 21 23 25-27 32 38 41 46 49 50 60 62 63 67 71 73 108 125
Kernel function, normal 3 49
Kernel function, optimal 46
Kernel function, three-dimensional 10
Kernel function, tricube 63
Kernel function, two-dimensional 6 7 53
King, E. C. 117 126 182
Knafl, G. 84 182
Kneip, A. 179 181
Knot 65
Koh, E. 104 177
Kotz, S. 88 181
Kronmal, R. A. 20 182
ksmooth 23 67
L tkepohl, H. 181
Landwehr, J. M. 104 182
Larsen, G. 178
Le Cessie, S. 104 182
Leadbetter, M. R. 22 185
Least squares 50 51 53 63 65 68 89 91 94 124 152 160 164
Least squares, penalised 147
Least squares, weighted 53 68 164
Lemeshow, S. 53 181
Lewis, T. 179
Li, E. C. 167 178 182
Likelihood ratio test 87 91 97 98 100
Linear predictor 56 57 98 173
Link function 56-58 98 100 104
Loader, C. 71 177 181
Local likelihood 20 53 56-59 67 98 101 104 121 172 173
Local linear regression 50 55 63 66 118 135 173
Local mean 49-51 67
LOESS 63 64 68 79 154 157 167
Loftsgaarden, D. O. 18 182
Logistic regression 53 56 99 104 105 121 163 164 172
logit 28 33 47 56 68 85 99 103-106 121 163 170 172
Loglinear regression 104 173
Long, B. G. 183
Lovett, A. A. 178
LOWESS 63 64 79
Lunn, A. D. 180
M ller, H. - G. 64 78 139 147 179 180 182
Markovian process 131
Marron, J. S. 34 46 67 75 83 177 179-182 185
MASE 140
McConway, K. J. 180
Mean Integrated Squared Error 26 27 31- 33 36 45 46 77-79 171
Mean squared error 77 139 140
Median 7 31 61 62 68 85 111
Median absolute deviation 31
Meisel, W. 176
Meng, X. - L. 178
Milton, D. A. 183
Mixing condition 133 136
MODE 5 7 24 30 45 111 131
Molinari, L. 179
Moment matching 88
Moore, D. S. 18 182
Multimodality 7 10 23 113 114
Multiresolution analysis 66
Nadaraya - Watson estimate 49 134 135
Nadaraya, E. A. 21 49 182
Nearest neighbour methods 18 47 62-64 71 79
Nelson, J. F. 183
Newton, A. J. 178
Nonlinear model 123
Normal distribution 23 33 36 39 40 42 46 75 77 87 163 170 171
Normal distribution, multivariate 39
Normal distribution, test 38 39 47
Numerical integration 27 108 116 126
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