Stereology for statisticians:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
Chapman & Hall/CRC
2005
|
| Series: | Monographs on statistics and applied probability
103 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 395 S. Ill., graph. Darst. |
| ISBN: | 1584884053 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Titel: Stereology for statisticians
Autor: Baddeley, Adrian
Jahr: 2005
Contents
1 Introduction 1
2 Classical stereology 9
2.1 Volume fraction 9
2.2 Surface area density and length density 17
2.3 Particles 25
2.4 Particle size 32
2.5 Thick sections 38
2.6 Counting profiles in two dimensions 41
2.7 Projections 42
2.8 Statistical critique of classical stereology 46
2.9 Advice to consultants 48
2.10 Exercises 50
2.11 Bibliographic notes 52
3 Overview of modern stereology 55
3.1 Motivation 55
3.2 Statistical foundations 56
3.3 Random sampling designs 63
3.4 Geometrical identities 71
3.5 Geometrical probability 75
3.6 Advice to consultants 78
3.7 Exercises 82
3.8 Bibliographic notes 83
CONTENTS
4 Geometrical identities 87
4.1 Plane sections and line transects 88
4.2 Quadrats 97
4.3 Curvature 104
4.4 Exercises 107
4.5 Bibliographic notes 108
5 Geometrical probability 111
5.1 UR points 112
5.2 IUR and FUR lines in the plane 114
5.3 FUR planes 117
5.4 FUR quadrats in the plane 119
5.5 Isotropie directions 123
5.6 IUR planes 126
5.7 IUR quadrats 129
5.8 Advice to consultants 129
5.9 Exercises 130
5.10 Bibliographic notes 133
6 Statistical formulations of stereology 135
6.1 Terminology 135
6.2 Generic models 137
6.3 Parameters 139
6.4 Reference spaces 142
6.5 Estimation in the Random case 144
6.6 Estimation in the Restricted case 147
6.7 Estimation in the Extended case 149
6.8 Advice to consultants 151
6.9 Exercises 152
6.10 Bibliographic notes 153
CONTENTS
7 Uniform and isotropie uniform designs 155
7.1 Estimation of volume and area 155
7.2 Length and surface area estimation 162
7.3 Exercises 168
7.4 Bibliographic notes 172
8 Vertical and local designs 175
8.1 Vertical sections 176
8.2 Vertical slices and vertical projections 188
8.3 Local lines 192
8.4 Local vertical sections 199
8.5 Local isotropie sections 202
8.6 Variance comparisons of local estimators 204
8.7 Exercises 205
8.8 Bibliographic notes 206
9 Ratio estimation 209
9.1 Ratio estimation in finite populations 209
9.2 Stereological estimation via ratios 213
9.3 Estimation of stereological ratios 216
9.4 Data modelling 224
9.5 Exercises 227
9.6 Bibliographic notes 228
10 Discrete sampling and counting 229
10.1 Basic principles 229
10.2 Unbiased sampling rules for particles 233
10.3 Decomposition 242
10.4 Re weighting 244
10.5 Variance reduction 248
10.6 Fractionator 249
10.7 Exercises 250
10.8 Bibliographic notes 252
CONTENTS
11 Inference for particle populations 255
11.1 Strategies for particle stereology 255
11.2 The design-based case 257
11.3 Model-based case 269
11.4 Exercises 275
11.5 Bibliographic notes 276
12 Design of stereological experiments 277
12.1 Design constraints 277
12.2 Parameters and estimators 278
12.3 Design strategies 281
12.4 Implementation 284
12.5 Sources of non-sampling error 289
12.6 Optimal design 290
13 Variance of stereological estimators 295
13.1 Variances in model-based stereology 296
13.2 Variances in design-based stereology 302
13.3 Variance comparisons and Rao-Blackwell 314
13.4 Prediction variance 317
13.5 Nested ANOVA 318
13.6 Particle number 321
13.7 Advice to consultants 324
13.8 Exercises 326
13.9 Bibliographic notes 327
14 Frontiers and open problems 329
14.1 Variances 329
14.2 Inhomogeneous materials and tissues 330
14.3 Anisotropy and digital stereology 330
CONTENTS
14.4 Spatial arrangement 331
14.5 Stereology of extremes 331
14.6 Fractal behaviour of surfaces 331
14.7 Non-recognition artefacts 331
14.8 Reconciliation with other areas 332
14.9 Shape models 332
A Sampling theory 333
A.I Population and sample 333
A.2 Estimation from a sample 335
A.3 Sampling designs 336
A.4 Nonuniform sampling designs 338
A.5 Variances of estimators 339
List of notation 341
References 345
Index 377
|
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| discipline | Physik Allgemeine Naturwissenschaft Informatik Mathematik |
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| indexdate | 2024-07-09T20:07:15Z |
| institution | BVB |
| isbn | 1584884053 |
| language | English |
| lccn | 2004059314 |
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| physical | 395 S. Ill., graph. Darst. |
| publishDate | 2005 |
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| publisher | Chapman & Hall/CRC |
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| series | Monographs on statistics and applied probability |
| series2 | Monographs on statistics and applied probability |
| spelling | Baddeley, Adrian Verfasser aut Stereology for statisticians Adrian Baddeley ; Eva B. Vedel Jensen Boca Raton [u.a.] Chapman & Hall/CRC 2005 395 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Monographs on statistics and applied probability 103 Statistique Stéréologie Statistik Statistics Stereology Stereologie (DE-588)4183122-6 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Stereologie (DE-588)4183122-6 s Statistik (DE-588)4056995-0 s DE-604 Jensen, Eva B. Vedel 1951- Sonstige (DE-588)129660310 oth Monographs on statistics and applied probability 103 (DE-604)BV002494005 103 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013161870&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Baddeley, Adrian Stereology for statisticians Monographs on statistics and applied probability Statistique Stéréologie Statistik Statistics Stereology Stereologie (DE-588)4183122-6 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4183122-6 (DE-588)4056995-0 |
| title | Stereology for statisticians |
| title_auth | Stereology for statisticians |
| title_exact_search | Stereology for statisticians |
| title_full | Stereology for statisticians Adrian Baddeley ; Eva B. Vedel Jensen |
| title_fullStr | Stereology for statisticians Adrian Baddeley ; Eva B. Vedel Jensen |
| title_full_unstemmed | Stereology for statisticians Adrian Baddeley ; Eva B. Vedel Jensen |
| title_short | Stereology for statisticians |
| title_sort | stereology for statisticians |
| topic | Statistique Stéréologie Statistik Statistics Stereology Stereologie (DE-588)4183122-6 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Statistique Stéréologie Statistik Statistics Stereology Stereologie |
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