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Bowman A.W., Azzalini A. — Applied Smoothing Techniques for Data Analysis: The Kernel Approach with S-Plus Illustrations
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.


Язык: en

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

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$F$ ratio statistic      87 88 98
$p$-value      43 47 80 81 87-89 93 100 105 109 111 116 119 125 154 161 171
$p$-value, empirical      43 47 80 81 109 111
$\check{C}$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$\ddot{u}$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$\ddot{o}$rfi, L.      46 133 177 180
H$\ddot{a}$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$\ddot{o}$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$\ddot{o}$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$\ddot{u}$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$\ddot{u}$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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