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Book Cover
E-book
Author Dryden, Ian L., author

Title Geometry Driven Statistics / Ian L. Dryden, John T. Kent
Edition 1st
Published Wiley, 2015

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Description 1 online resource (432 pages)
Contents Title Page -- Preface -- List of Contributors -- Part I: Kanti Mardia -- Chapter 1: A Conversation with Kanti Mardia -- 1.1 Family background -- 1.2 School days -- 1.3 College life -- 1.4 Ismail Yusuf Collegeâ€"University of Bombay -- 1.5 University of Bombay -- 1.6 A taste of the real world -- 1.7 Changes in the air -- 1.8 University of Rajasthan -- 1.9 Commonwealth scholarship to England -- 1.10 University of Newcastle -- 1.11 University of Hull -- 1.12 Book writing at the University of Hull -- 1.13 Directional data analysis
1.14 Chair Professorship of Applied Statistics, University of Leeds1.15 Leeds annual workshops and conferences -- 1.16 High profile research areas -- 1.17 Center of Medical Imaging Research (CoMIR) -- 1.18 Visiting other places -- 1.19 Collaborators, colleagues and personalities -- 1.20 Logic, statistics and Jain religion -- 1.21 Many hobbies -- 1.22 Immediate family -- 1.23 Retirement 2000 -- Acknowledgments -- References -- Chapter 2: A Conversation with Kanti Mardia: Part II -- 2.1 Introduction -- 2.2 Leeds, Oxford, and other affiliations
2.3 Book writing: revising and new ones2.4 Research: bioinformatics and protein structure -- 2.5 Research: not necessarily linked directly with bioinformatics -- 2.6 Organizing centers and conferences -- 2.7 Memorable conference trips -- 2.8 A select group of special colleagues -- 2.9 High honors -- 2.10 Statistical science: thoughts and predictions -- 2.11 Immediate family -- 2.12 Jain thinking -- 2.13 What the future may hold -- Acknowledgment -- References -- Chapter 3: Selected publications -- 1. Monographs -- 2. Edited Volumes
3. Journal Research Papers4. Articles in Edited Volumes (other than edited by Mardia) -- Part II: Directional Data Analysis -- Chapter 4: Some advances in constrained inference for ordered circular parameters in oscillatory systems -- 4.1 Introduction -- 4.2 Oscillatory data and the problems of interest -- 4.3 Estimation of angular parameters under order constraint -- 4.4 Inferences under circular restrictions in von Mises models -- 4.5 The estimation of a common circular order from multiple experiments -- 4.6 Application: analysis of cell cycle gene expression data
4.7 Concluding remarks and future researchAcknowledgment -- References -- Chapter 5: Parametric circularâ€"circular regression and diagnostic analysis -- 5.1 Introduction -- 5.2 Review of models -- 5.3 Parameter estimation and inference -- 5.4 Diagnostic analysis -- 5.5 Examples -- 5.6 Discussion -- References -- Chapter 6: On two-sample tests for circular data based on spacing-frequencies -- 6.1 Introduction -- 6.2 Spacing-frequencies tests for circular data -- 6.3 Rao's spacing-frequencies test for circular data -- 6.4 Monte Carlo power comparisons
Notes University of Leeds 25 1.15 Leeds annual workshops and conferences 28 1.16 High profile research areas 31 1.16.1 Multivariate analysis 32 1.16.2 Directional data 33 1.16.3 Shape analysis 34 1.16.4 Spatial statistics 36 1.16.5 Applied research 37 1.17 Center of Medical Imaging Research (CoMIR) 40 1.18 Visiting other places 41 1.19 Collaborators, colleagues and personalities 44 1.20 Logic, statistics and Jain religion 48 1.21 Many hobbies 50 1.22 Immediate family 51 1.23 Retirement 2000 53 Acknowledgments 55 References 55 2 A Conversation with Kanti Mardia: Part II 59 Nitis Mukhopadhyay 2.1 Introduction 59 2.2 Leeds, Oxford,
And other affiliations 60 2.3 Book writing: revising and new ones 61 2.4 Research: bioinformatics and protein structure 63 2.5 Research: not necessarily linked directly with bioinformatics 66 2.6 Organizing centers and conferences 68 2.7 Memorable conference trips 71 2.8 A select group of special colleagues 73 2.9 High honors 74 2.10 Statistical science: thoughts and predictions 76 2.11 Immediate family 78 2.12 Jain thinking 80 2.13 What the future may hold 81 Acknowledgment 84 References 84 3 Selected publications 86 K V Mardia Part II Directional Data Analysis 95 4 Some advances in constrained inference for ordered circular parameters in oscillatory systems 97 Cristina Rueda, Miguel A. Fernández, Sandra Barragán and Shyamal D
Taylor 5.1 Introduction 115 5.2 Review of models 116 5.3 Parameter estimation and inference 118 5.4 Diagnostic analysis 119 5.4.1 Goodness-of-fit test for the von Mises distribution 120 5.4.2 Influential observations 121 5.5 Examples 123 5.6 Discussion 126 References 127 6 On two-sample tests for circular data based on spacing-frequencies 129 Riccardo Gatto and S
Kendall 7.1 Introduction 146 7.2 Barycentres 147 7.3 Hurricanes 149 7.4 Using k-means and non-parametric statistics 151 7.5 Results 155 7.6 Conclusion 158 Acknowledgment 159 References 159 Part III Shape Analysis 161 8 Beyond Procrustes: a proposal to save morphometrics for biology 163 Fred L. Bookstein 8.1 Introduction 163 8.2 Analytic preliminaries 165 8.3 The core maneuver 168 8.4 Two examples 173 8.5 Some final thoughts 178 8.6 Summary 180 Acknowledgments 180 References 180 9 Nonparametric data analysis methods in medical imaging 182 Daniel E. Osborne, Vic Patrangenaru, Mingfei Qiu and Hilary W
And Anuj Srivastava 11.1 Introduction 218 11.1.1 From discrete to continuous and elastic 219 11.1.2 General elastic framework 220 11.2 Registration in FDA: phase-amplitude separation 221 11.3 Elastic shape analysis of curves 223 11.3.1 Mean shape and modes of variations 225 11.3.2 Statistical shape models 226 11.4 Elastic shape analysis of surfaces 228 11.5 Metric-based image registration 231 11.6 Summary and future work 235 References 235 Part IV Spatial, Image and Multivariate Analysis 239 12 Evaluation of diagnostics for hierarchical spatial statistical models 241 Noel Cressie and Sandy Burden 12.1 Introduction 241 12.1.1 Hierarchical spatial statistical models 242 12.1.2 Diagnostics 242 12.1.3 Evaluation 243 12.2 Example: Sudden Infant Death Syndrome (SIDS) data for North C
Subject Mathematical statistics.
Geometry.
geometry.
MATHEMATICS -- Applied.
MATHEMATICS -- Probability & Statistics -- General.
Geometry
Mathematical statistics
Form Electronic book
Author Kent, John T., author
ISBN 9781118866603
1118866606