by
James E. Gentle
Subject Index
ACE (alternating conditional expectation method) 328
{\sl ACM Transactions on Mathematical Software} 352, 386, 388
{\sl ACM Transactions on Modeling and Computer Simulation} 386
additivity and variance stabilization (AVAS) 329
affine transformation 103
AID (classification method) 322
alternating conditional expectation (ACE) 328
AMISE (asymptotic mean integrated squared error) 149
AMS MR classification system 386
anaglyph 166
Andrews curve 176
angle between vectors 100, 101
angular separation 116
anisometry 117
ANSI (standards) 186
{\sl Applied Statistics} 352, 386, 388
arcing 323
ASH (average shifted histogram) 216
aspect ratio 6
asymptotic mean integrated squared error (AMISE) 149
AVAS (additivity and variance stabilization method) 329, 330
average shifted histogram (ASH) 216
AVS (graphics system) 187
B-spline 140
bagging 323
Banach space 132
basis functions 133
batch means for variance estimation 55
Bayes rule 305
Bayesian model 309
BC$_a$ bootstrap 92
Bernstein polynomial 163
beta function 372
beta weight function 163
bias 12
bin smoother 331
binary difference 116
binning 125, 294
blind source separation 289
bona fide density estimator 205
boosting 323
bootstrap bias correction 86
bootstrap confidence interval 89
bootstrap variance estimate 88
bootstrap, parametric 60
bootstrapping regression 93
Box-Cox transformation 327
broken-line ECDF 158
Brownian motion 310
brushing 178
Burr family of distributions 201
B\'{e}zier curve 162
C (programming language) 351
C5.0 123, 322
{\sl CALGO} ({\sl Collected Algorithms of the ACM}) 386, 388
Canberra distance 115
CART (method and software) 123, 320, 322
casement display 171
categorical variable 111
Cauchy-Schwarz inequality 130
CAVE 183
CDF (cumulative distribution function) 365
centered data 101, 110
centroidal tessellation 248
Chebyshev norm 131
Chernoff face 173
Christoffel-Darboux formula 135
circular data 118
classification tree 123, 238, 320
classification 237, 320
claw density 226
clustered image map 165
clustering 202, 237
{\sl Collected Algorithms of the ACM} ({\sl CALGO}) 386, 388
color table 185
color, representation of 184
{\sl Communications in Statistics --- Simulation and Computation} 387
complete linkage clustering 242
complete space 132
COMPSTAT 385, 387
computational feasibility 124
computational inference 10, 58
{\sl Computational Statistics} 387
{\sl Computational Statistics \& Data Analysis} 387
computer experiment 347
{\sl Computing Science and Statistics} 387
conceptual clustering 249
conditioning plot 171
coneplots 176
confidence interval 33, 89
conjunctive normal form (CNF) 322
consistent estimator 145
container hull 258
contour plot 164
control variate 63
convergence in mean square 145
convergence in quadratic mean 145
convex hull peeling 258
convex hull 258
coordinate system 108
coplot (conditioning plot) 171
correlation matrix 110
correlation 109
covariance 109
cross validation 74
cumulative distribution function 365
{\sl Current Index to Statistics} 386
curse of dimensionality 293
data-based random number generation 355
data depth 259
data-generating process 5, 10
data mining 123
data partitioning 69
decomposition of a function 54, 139
Delaunay triangulation 246
Delta algorithm 26
delta method 31
density estimation 197, 205
depth median 261
depth of data 259
device coordinate system 155
device driver 186
DIEHARD tests for random number generators 40, 357
Dijkstra's algorithm 256
dimension reduction 99, 246
Dirac delta function 369
direct volume rendering 166
directional data 118
Dirichlet tessellation 246
discrimination 237
disjunctive normal form (DNF) 322
dissimilarity measure 118
dissimilarity 109, 114
distance 114
dot product 100, 129
ECDF (empirical cumulative distribution function) 11, 158, 194, 365
EDA 123, 300
eigenfunctions 134
eigenvalues 134
elemental regression 323
ellipsoid, minimum volume 259
EM algorithm 27
empirical cumulative distribution function 11, 158, 194, 365
empirical orthogonal functions 265
empirical probability density function (EPDF) 12, 194
empirical quantile 14
EPDF (empirical probability density function) 12, 194
errors-in-variables 318, 319
Euclidean distance 114
Euclidean length 100
EXPLOR4 (software) 174
exploratory data analysis 123, 300
Exponent Graphics (software) 186
factor analysis 265, 276
feature space 289
filter 129, 142
filtered kernel density estimation 224
Fisher scoring 25
flat 101
Fortran 90 351
4-plot 154
Fourier coefficients 134
Fourier series curve 176
fractal dimension 287
frequency polygon 216
functional data 112
fuzzy clustering 250
gamma function 372
GAMS ({\sl Guide to Available Mathematical Software}) 352, 388
GAMS, electronic access 388
Gauss-Newton method 19
generalized jackknife 80, 81
generalized lambda family of distributions 199, 201
generalized linear model 304
geometric Brownian motion 311
geometry 102
Gibbs method 46, 50
Gibbs sampling 51
GIMP (graphics software) 187
GKS 186
glyph 172
GNU Scientific Library (GSL) 352
gnuplot (graphics software) 187
Gram-Charlier series 136
Gram-Schmidt transformation 102, 133
grand tour (in graphics) 180, 257
grand tour in Andrews curves {\it Exercise \ref{ex:graph030}}: 190
grand tour in cone plots {\it Exercise \ref{ex:graph030a}}: 190
graphics 153
GSL (GNU Scientific Library) 352
halfspace location depth 259
Hamiltonian circuit 258
Hamming distance 116
Heaviside function 368
Hellinger distance 146
Hermite polynomial 136, 137
hierarchical clustering 240
hierarchical model 309
Hilbert space 132
histogram 155
histospline 216
homogeneous coordinates 106, 155
Hotelling transform 270
Huber estimator 316
hull 258
hypergeometric distribution 199
hypothesis testing 32, 58
IAE (integrated absolute error) 146, 149
ICA (independent components analysis) 281, 289
ideal bootstrap 88
IMAE (integrated mean absolute error) 148
image plot 164
immersive techniques 183
IMPLOM 171, 182
importance sampling 62
imputation 61
IMSE (integrated mean squared error) 147
IMSL Exponent Graphics 186
IMSL Libraries 352, 354
incomplete gamma function 372
independent components analysis 265, 281, 289
indicator function 368
inference, computational 10, 58
inner product 100, 129, 132
integrated absolute bias 147
integrated absolute error (IAE) 146, 149
integrated bias 147
integrated mean absolute error (IMAE) 148
integrated mean squared error (IMSE) 147
integrated squared bias 147
integrated squared error (ISE) 146
integrated variance 147
Interface Symposium 385, 387
International Association of Statistical Computing (IASC) 385, 387
invariance property 102
IRLS (iteratively reweighted least squares) 21, 22
ISE (integrated squared error) 146
ISO (standards) 186
isometric matrix 117
isometric transformation 102, 117, 121
isotropic transformation 102
iteratively reweighted least squares 21, 22
It\^{o} process 311
jackknife 76
jackknife-after-bootstrap 94
Jacobi polynomial 163
Java 3D 186
Jensen's inequality 30
jittering 182
Johnson family of distributions 200
{\sl Journal of Computational and Graphical Statistics} 188, 387
{\sl Journal of Statistical Computation and Simulation} 387
{\sl Journal of Statistical Software} 389
$k$-$d$-tree 263
K-means clustering 239, 249
Kagom\'{e} lattice 215
Karhunen-Lo\`{e}ve transform 265, 270
KDD (knowledge discovery in databases) 123
kernel (function) 142, 218, 324, 331
kernel density estimation 217
kernel estimator 129
kernel regression 331
kernel smoother 331
knowledge discovery in databases (KDD) 123
Kolmogorov distance 146, 148, 161
Kullback-Leibler measure 146
${\rm L}_1$ consistency 149
${\rm L}_2$ consistency 145, 148
${\rm L}_2$ norm 114, 132
${\rm L}_p$ norm 115, 132
Laguerre-Fourier index, projection pursuit 287
lambda family of distributions 199, 201
Langevin equation 311
Laplacian operator 370
latent semantic indexing 265, 280
Latin hypercube sampling 293, 348
learning 289
least median of squares regression 317
least squares estimator 17
least squares/normal drift {\it Exercise \ref{ex:meth222}}: 67
least trimmed absolute values 316
least trimmed squares 316
Legendre polynomial 136
Levenberg-Marquardt algorithm 20
likelihood function 22, 198
linear estimator 31
linear functional 31
lining 257
link function 304
log-likelihood function 24
logit function 304
M-estimator 314
machine learning 237, 289
MAE (mean absolute error) 144
Mahalanobis distance 118, 305
Manhattan distance 115
Markov chain Monte Carlo 47
{\sl Mathematical Reviews} 386
Matlab (software) 352
Matusita distance 146
maximum absolute error (SAE) 146
maximum difference 115
maximum likelihood method 22, 23, 198, 206
MCMC (Markov chain Monte Carlo) 47
mean absolute error (MAE) 144
mean integrated absolute error (MIAE) 148, 149
mean integrated squared error (MISE) 148
mean square consistent 148
mean squared error (MSE) 144, 147
mean squared error 12
mean squared error, of series expansion 134
mean sup absolute error (MSAE) 148
method of moments 13
metric 109
MIAE (mean integrated absolute error) 148, 149
minimal spanning tree 255
minimum-volume ellipsoid 259
Minkowski distance 115
MISE (mean integrated squared error) 148
missing data 61
model-based clustering 202
Monte Carlo experimentation 3, 39, 337
Monte Carlo study 337
Monte Carlo test 58
Motif 186
mountain plot 158
MR classification system 386
MSAE (mean sup absolute error) 148
MSE (mean squared error) 144, 147
MST (minimal spanning tree) 255
multidimensional scaling 122
multiple imputation 61
multipolar mapping 246
natural polynomial spline 141
nearest neighbors 235, 263, 264
{\tt netlib} xii, 352, 386, 388
Newton's method 17
NIST Test Suite, for random number generators 40
nonlinear regression 21
nonnegative matrix factorization 280
nonparametric density estimation 205
nonparametric method 299
nonparametric regression 331
norm, function 131, 132
norm, vector 114
normal function 132
numerical data 100
oblique partitioning 124
online algorithm 124
OpenGL (software) 186
order of computations 124
Ornstein-Uhlenbeck process 311
orthogonal distance regression 318, 319
orthogonal polynomials 135
orthogonal transformation 101
orthogonalization transformation 102
out-of-core algorithm 124
outlier 121, 276
p-p plot 257
parallel coordinates 175
parametric bootstrap 60
partial scatter plot matrix 170
PCA (principal components analysis) 264
Pearson family of distributions 199
penalized maximum likelihood method 207
perspective plot 156
PHIGS 186
pivotal value 33
pixel 155, 184, 185
planing 257
plug-in estimator 13, 95
pointwise properties 143
polar coordinates 108, 118, 176, 252
PostScript 186
PRESS 75
PRIM-9 179
principal components 264
principal curves 289
probabilistic latent semantic indexing 280
probability plot 159
probably approximately correct (PAC) model 305
{\sl Proceedings of the Statistical Computing Section} 387
profile likelihood 327
projection pursuit guided tour 182
projection pursuit 281, 319
projection 105, 169
projective transformation 103
prosection 171
proximity search 235, 246
pseudo grand tour 182
pseudovalue 77
q-q plot 159
quad tree 263
quantile plot 199
quantile-quantile plot 159
quasi-Newton method 17, 25
R (software) 187, 352, 357
Rand's statistic 254
random forest 324
{\tt rand} 353
rank correlation 111
rank transformation 111
raster image 155
recursion formula for orthogonal polynomials 135
recursive partitioning 123, 238, 245, 321
registration of data 113
regression tree 320, 331
regression 301
regression, bootstrapping 93
regression, nonlinear 21
regularization method 317
reproducible research xii, 338
resampling vector 86
resampling 4, 85
restricted maximum likelihood method 206
robust covariance matrix 121
robust method 121, 315
rotation 103, 180
roughness of a function 150, 212
running smoother 331
S, S-Plus (software) 352, 357
S-Plus (software) 187
SAE (sup absolute error) 146
sample quantile 14
saw-tooth density 226
scaling 117
scatter plot 155, 169
scoring 25
scree plot 271
section 170
See5 123, 322
seed of a random number generator 40, 351, 354, 356, 359
series estimator 139
series expansion 133
shape of data 291
shearing transformation 103
shrinkage 317
{\sl SIAM Journal on Scientific Computing} 387
side effect 353
sieve 207
SIGGRAPH 188
signum function 373
similarity 109
similarity measure 110
simplicial location depth 261
simulation 4, 337
single linkage clustering 242
singular value 273
singular value decomposition 273
smooth comb density 226
smoothing matrix 218
smoothing 162, 330
snowflake 173
software engineering 353
sorting of multivariate data 255
SPAVAS (semiparametric AVAS) 330
spectral decomposition 266
sphered data 117, 118, 288
spline smoothing 331
spline 140
SPLOM (``scatter plot matrix'') 169
stalactite plot 178
standardized data 117, 235, 265, 266, 267
star diagram 173
Statistical Computing Section of the American Statistical Association 385, 387
{\sl Statistical Computing \& Graphics Newsletter} 188, 387
statistical function 12
statistical learning 289
{\sl Statistics and Computing} 387
{\tt statlib} xii, 93, 96, 97, 352, 387, 388
stereo-ray glyph 174
stereogram 166
Stevens's scale typology 99
Strauss process 83
structure in data 6, 195
sup absolute error (SAE) 146
support vector machine 324
surface rendering 166
SVD (singular value decomposition) 273
Swendsen-Wang algorithm 66
tensor product 137
tessellation 215, 246, 294
total least squares 318, 319
transform-both-sides 328
transformation of data 326, 328
translation transformation 106
trees and castles 174
trellis display 172
triangle inequality 109
trimmed least squares 316
truncated power function 140
twoing rule 320
ultrametric inequality 109, 244
uniform norm 131
variance estimation 55
variance stabilizing transformation 326
variance 12
variance-covariance matrix 110
vector image 155
virtual reality 183
Visualization Toolkit (software) 187
Voronoi diagram 246
Voronoi tessellation 246
voxel 166
vtk (Visualization Toolkit software) 187
Ward's method of clustering 244
weak convergence in mean square 145
weak convergence in quadratic mean 145
weighted least squares 21
white matrix 118
Wiener process 311
window size 218
wire frame 166
world coordinate system 155
X Windows 186
xfig (graphics software) 187
XGobi (software) 187
{\tt Xnetlib} 388
$z$-buffering 166