Practical statistics for astronomers:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
Cambridge Univ. Press
[2012]
|
| Edition: | Second edition |
| Series: | Cambridge observing handbooks for research astronomers
8 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverzeichnis Seite 335 - 346 |
| Physical Description: | xix, 353 Seiten Diagramme |
| ISBN: | 9780521732499 |
Staff View
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Record in the Search Index
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| adam_text | Titel: Practical statistics for astronomers
Autor: Wall, Jasper V
Jahr: 2012
Contents
Foreword to first edition page xiii
Foreword to second edition xv
Note on notation xvii
Decision 1
1.1 How is science done? 4
1.2 Probability; probability distributions 6
1.3 Bolt-on statistics? 7
1.4 Probability and statistics in inference: an overview of
this book 8
1.5 How to use this book 17
Probability 20
2.1 What is probability? 21
2.2 Conditionality and independence 24
2.3 ... and Bayes theorem 26
2.4 Probability distributions 33
2.5 Bayesian inferences with probability 46
2.6 Monte Carlo generators 48
Statistics and expectations 55
3.1 Statistics 55
3.2 What should we expect of our statistics? 59
3.3 Simple error analysis 61
3.4 Some useful statistics, and their distributions 66
3.5 Uses of statistics 68
Correlation and association 71
4.1 The fishing trip 71
vu
Contents
4.2 Testing for correlation 74
4.3 Partial correlation 83
4.4 But what next? 84
4.5 Principal component analysis 86
Hypothesis testing 92
5.1 Methodology of classical hypothesis testing 94
5.2 Parametric tests: means and variances, t and F tests 96
5.3 Non-parametric tests: single samples 106
5.4 Non-parametric tests: two independent samples 113
5.5 Summary, one- and two-sample non-parametric tests 119
5.6 Statistical ritual 121
Data modelling and parameter estimation: basics 126
6.1 The maximum-likelihood method 128
6.2 The method of least squares: regression analysis 134
6.3 The minimum chi-square method 138
6.4 Weighting combinations of data 141
6.5 Bayesian likelihood analysis 142
6.6 Bootstrap and jackknife 147
Data modelling and parameter estimation: advanced topics 151
7.1 Model choice and Bayesian evidence 151
7.2 Model simplicity and the Ockham factor 153
7.3 The integration problem 154
7.4 Pitfalls in model choice 157
7.5 The Akaike and Bayesian information criteria 159
7.6 Monte Carlo integration: doing the Bayesian integrals 160
7.7 The Metropolis-Hastings algorithm 161
7.8 Computation of the evidence by MCMC 166
7.9 Models of models, and the combination of data sets 170
7.10 Broadening the range of models, and weights 173
7.11 Press and Kochanek s method 176
7.12 Median statistics 180
Detection and surveys 182
8.1 Detection 183
8.2 Catalogues and selection effects 189
8.3 Luminosity functions 196
8.4 Tests on luminosity functions 208
8.5 Survival analysis 211
8.6 The confusion limit 224
Contents ix
9 Sequential data - ID statistics 230
9.1 Data transformations, the Karhunen-Loeve transform,
and others 231
9.2 Fourier analysis 234
9.3 Filtering 241
9.4 Correlating 247
9.5 Unevenly sampled data 252
9.6 Wavelets 254
9.7 Detection difficulties: 1// noise 257
10 Statistics of large-scale structure 262
10.1 Statistics on a spherical surface 262
10.2 Sky representation: projection and contouring 265
10.3 The sky distribution 268
10.4 Two-point angular correlation function 269
10.5 Counts in cells 275
10.6 The angular power spectrum 281
10.7 Galaxy distribution statistics: interpretation 287
11 Epilogue: statistics and our Universe 291
11.1 The galaxy universe 291
11.2 The weak lensing universe 301
11.3 The cosmic microwave background universe 307
Appendix A The literature 316
Appendix B Statistical tables 321
References 335
Index 341
|
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| discipline | Physik |
| edition | Second edition |
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| spelling | Wall, J. V. 1942- Verfasser (DE-588)102422046X aut Practical statistics for astronomers J. V. Wall, University of British Columbia, Vancouver, Canada; C. R. Jenkins, Commonwealth Scientific and Industrial Research Organization (CSIRO), Australia Second edition Cambridge Cambridge Univ. Press [2012] © xix, 353 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Cambridge observing handbooks for research astronomers 8 Literaturverzeichnis Seite 335 - 346 Astronomie (DE-588)4003311-9 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Astronomie (DE-588)4003311-9 s Statistik (DE-588)4056995-0 s DE-604 Jenkins, C. R. 1955- Verfasser (DE-588)1024222365 aut Cambridge observing handbooks for research astronomers 8 (DE-604)BV014082490 8 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025241009&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Wall, J. V. 1942- Jenkins, C. R. 1955- Practical statistics for astronomers Cambridge observing handbooks for research astronomers Astronomie (DE-588)4003311-9 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4003311-9 (DE-588)4056995-0 (DE-588)4123623-3 |
| title | Practical statistics for astronomers |
| title_auth | Practical statistics for astronomers |
| title_exact_search | Practical statistics for astronomers |
| title_full | Practical statistics for astronomers J. V. Wall, University of British Columbia, Vancouver, Canada; C. R. Jenkins, Commonwealth Scientific and Industrial Research Organization (CSIRO), Australia |
| title_fullStr | Practical statistics for astronomers J. V. Wall, University of British Columbia, Vancouver, Canada; C. R. Jenkins, Commonwealth Scientific and Industrial Research Organization (CSIRO), Australia |
| title_full_unstemmed | Practical statistics for astronomers J. V. Wall, University of British Columbia, Vancouver, Canada; C. R. Jenkins, Commonwealth Scientific and Industrial Research Organization (CSIRO), Australia |
| title_short | Practical statistics for astronomers |
| title_sort | practical statistics for astronomers |
| topic | Astronomie (DE-588)4003311-9 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Astronomie Statistik Lehrbuch |
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