Functional Data Analysis

Front Cover
Springer Science & Business Media, Jun 8, 2005 - Mathematics - 426 pages
1 Review
Reviews aren't verified, but Google checks for and removes fake content when it's identified

Scientists and others today often collect samples of curves and other functional observations. This monograph presents many ideas and techniques for such data. Included are expressions in the functional domain of such classics as linear regression, principal components analysis, linear modeling, and canonical correlation analysis, as well as specifically functional techniques such as curve registration and principal differential analysis. Data arising in real applications are used throughout for both motivation and illustration, showing how functional approaches allow us to see new things, especially by exploiting the smoothness of the processes generating the data. The data sets exemplify the wide scope of functional data analysis; they are drawn from growth analysis, meteorology, biomechanics, equine science, economics, and medicine.

The book presents novel statistical technology, much of it based on the authors’ own research work, while keeping the mathematical level widely accessible. It is designed to appeal to students, to applied data analysts, and to experienced researchers; it will have value both within statistics and across a broad spectrum of other fields.

This second edition is aimed at a wider range of readers, and especially those who would like to apply these techniques to their research problems. It complements the authors' other recent volume Applied Functional Data Analysis: Methods and Case Studies. In particular, there is an extended coverage of data smoothing and other matters arising in the preliminaries to a functional data analysis. The chapters on the functional linear model and modeling of the dynamics of systems through the use of differential equations and principal differential analysis have been completely rewritten and extended to include new developments. Other chapters have been revised substantially, often to give more weight to examples and practical considerations.

Jim Ramsay is Professor of Psychology at McGill University and is an international authority on many aspects of multivariate analysis. He was President of the Statistical Society of Canada in 2002-3 and holds the Society’s Gold Medal for his work in functional data analysis.

Bernard Silverman is Master of St Peter’s College and Professor of Statistics at Oxford University. He was President of the Institute of Mathematical Statistics in 2000–1. He is a Fellow of the Royal Society. His main specialty is in computational statistics, and he is the author or editor of several highly regarded books in this area.

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

II
1
III
5
V
9
VI
11
VII
12
VIII
13
IX
15
XII
16
CLXVIII
206
CLXIX
207
CLXX
208
CLXXI
209
CLXXII
210
CLXXIII
211
CLXXIV
213
CLXXVI
214

XIII
17
XIV
18
XV
19
XVIII
20
XX
21
XXI
22
XXIV
24
XXV
26
XXVII
27
XXVIII
28
XXIX
29
XXX
30
XXXI
33
XXXII
34
XXXIII
37
XXXV
38
XXXVI
39
XXXVII
40
XXXVIII
41
XXXIX
43
XL
45
XLI
46
XLII
47
XLIII
49
XLIV
53
XLVI
54
XLVII
55
XLVIII
56
XLIX
57
L
59
LIII
60
LIV
61
LV
62
LVI
63
LVII
64
LVIII
66
LIX
67
LXI
69
LXII
70
LXIII
71
LXIV
72
LXV
73
LXVI
74
LXVII
76
LXVIII
77
LXIX
78
LXX
79
LXXI
81
LXXII
82
LXXIII
83
LXXIV
84
LXXVI
85
LXXVII
86
LXXVIII
87
LXXIX
89
LXXX
90
LXXXI
91
LXXXII
92
LXXXIII
93
LXXXIV
94
LXXXV
96
LXXXVI
97
LXXXVII
99
LXXXVIII
100
LXXXIX
101
XC
102
XCI
103
XCII
104
XCIII
105
XCIV
106
XCV
107
XCVI
108
XCVII
109
XCVIII
111
XCIX
113
C
114
CI
115
CIII
116
CIV
117
CV
118
CVI
119
CVII
121
CVIII
123
CIX
126
CX
127
CXI
129
CXII
131
CXIII
132
CXIV
137
CXVI
138
CXVII
140
CXVIII
142
CXXI
144
CXXII
147
CXXIII
148
CXXIV
149
CXXV
151
CXXVI
152
CXXVII
154
CXXIX
156
CXXXI
160
CXXXII
161
CXXXIV
164
CXXXV
166
CXXXVI
167
CXXXVII
168
CXXXVIII
170
CXXXIX
171
CXL
173
CXLIII
175
CXLIV
177
CXLVI
178
CXLVII
179
CXLIX
181
CL
182
CLI
184
CLII
185
CLIII
187
CLIV
189
CLV
190
CLVI
191
CLVII
192
CLVIII
194
CLIX
195
CLXI
198
CLXII
201
CLXIV
204
CLXVII
205
CLXXVII
215
CLXXVIII
217
CLXXX
218
CLXXXI
219
CLXXXII
220
CLXXXV
221
CLXXXVII
222
CLXXXVIII
223
CXCII
225
CXCIII
229
CXCIV
231
CXCV
233
CXCVI
235
CXCVII
236
CXCIX
238
CC
239
CCIII
241
CCIV
243
CCV
244
CCVI
247
CCVIII
248
CCX
251
CCXI
255
CCXII
257
CCXIII
258
CCXIV
261
CCXVI
262
CCXVII
264
CCXVIII
266
CCXIX
268
CCXX
269
CCXXI
270
CCXXIII
271
CCXXIV
272
CCXXVI
273
CCXXVII
275
CCXXVIII
276
CCXXIX
279
CCXXXII
280
CCXXXIII
282
CCXXXV
283
CCXXXVI
284
CCXXXVIII
285
CCXXXIX
290
CCXL
291
CCXLI
292
CCXLII
293
CCXLIII
295
CCXLIV
297
CCXLVI
298
CCXLVII
301
CCXLVIII
305
CCXLIX
307
CCLI
308
CCLII
310
CCLIII
311
CCLIV
312
CCLV
313
CCLVIII
314
CCLIX
316
CCLX
317
CCLXI
319
CCLXIII
320
CCLXIV
322
CCLXV
323
CCLXVII
324
CCLXVIII
325
CCLXX
327
CCLXXIII
328
CCLXXIV
329
CCLXXV
330
CCLXXVI
332
CCLXXVII
334
CCLXXVIII
338
CCLXXX
339
CCLXXXI
340
CCLXXXII
343
CCLXXXIV
344
CCLXXXV
345
CCLXXXVI
348
CCLXXXVII
349
CCLXXXIX
350
CCXC
351
CCXCI
352
CCXCIII
353
CCXCIV
354
CCXCV
355
CCXCVI
356
CCXCVII
357
CCXCVIII
359
CCC
360
CCCI
361
CCCII
363
CCCIII
364
CCCV
366
CCCVI
367
CCCVII
369
CCCIX
370
CCCX
371
CCCXI
373
CCCXII
374
CCCXIII
379
CCCXVII
380
CCCXVIII
381
CCCXIX
382
CCCXX
383
CCCXXII
384
CCCXXIII
385
CCCXXVI
386
CCCXXVII
387
CCCXXVIII
389
CCCXXIX
390
CCCXXX
391
CCCXXXII
392
CCCXXXIII
393
CCCXXXIV
394
CCCXXXV
395
CCCXXXVI
396
CCCXXXVIII
397
CCCXXXIX
398
CCCXL
399
CCCXLII
400
CCCXLIII
401
CCCXLVI
402
CCCXLVII
405
CCCXLVIII
419
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information