Complex Data Modeling and Computationally Intensive Statistical Methods

Complex Data Modeling and Computationally Intensive Statistical Methods

von: Pietro Mantovan, Piercesare Secchi

Springer-Verlag, 2011

ISBN: 9788847013865 , 170 Seiten

Format: PDF

Kopierschutz: DRM

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Preis: 53,49 EUR

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Mehr zum Inhalt

Complex Data Modeling and Computationally Intensive Statistical Methods


 

Title Page

1

Copyright Page

4

Preface

5

Table of Contents

7

List of Contributors

9

Space-time texture analysis in thermal infraredimaging for classification of Raynaud’s Phenomenon

11

1 Introduction

11

2 TheData

12

3 Processing thermal high resolution infrared images

13

3.1 Segmentation

13

3.2 Registration

13

4 Feature extraction

15

4.1 ST-GMRFs

16

4.2 Texture statistics through co-occurrence matrices

18

5 Classification results

19

6 Conclusions

20

References

21

Mixed-effects modelling of Kevlar fibre failure timesthrough Bayesian non-parametrics

23

1 Introduction

23

2 Accelerated life models for Kevlar fibre life data

25

3 The Bayesian semiparametric AFT model

26

4 Data analysis

28

5 Conclusions

34

Appendix

34

References

36

Space filling and locally optimal designs for Gaussian Universal Kriging

37

1 Introduction

37

2 Kriging methodology

39

3 Optimality of space filling designs

40

4 Locally optimal designs for Universal Kriging

41

4.1 Optimal designs for estimation

41

4.2 Optimal designs for prediction

46

5 Conclusions

48

References

48

Exploitation, integration and statistical analysis of thePublic Health Database and STEMI Archive in theLombardia region

50

1 Introduction

50

2 The MOMI2 study

52

3 The STEMI Archive

55

4 The Public Health Database

56

4.1 Healthcare databases

57

4.2 Health information systems in Lombardia

58

5 The statistical perspective

58

5.1 Frailty models

59

5.2 Generalised linear mixed models

60

5.3 Bayesian hierarchical models

61

6 Conclusions

62

References

62

Bootstrap algorithms for variance estimation in PS sampling

65

1 Introduction

65

2 The naïve boostrap

66

3 Holmberg’s PS bootstrap

67

4 The 0.5 PS-bootstrap

70

5 The x-balanced PS-bootstrap

70

6 Simulation study

71

7 Conclusions

76

References

76

Fast Bayesian functional data analysis of basal body temperature

78

1 Introduction

78

2 Methods

80

2.1 RVM in linear models

80

2.2 Extension to linear mixed model

81

3 Results: application to bbt data

84

3.1 Subject-specific profiles

85

3.2 Subject-specific and population average profiles

86

3.3 Prediction

88

4 Conclusions

88

References

89

A parametric Markov chain to model age- and state-dependent wear processes

91

1 Introduction

91

2 System description and preliminary technological considerations

93

3 Data description and preliminary statistical considerations

94

4 Model description

97

5 Parameter estimation

99

6 Testing dependence on time and/or state

101

7 Conclusions

102

References

103

Case studies in Bayesian computation using INLA

104

1 Introduction

104

2 Latent Gaussian models

105

3 Integrated Nested Laplace Approximation

107

4 The INLA package for R

108

5 Case studies

108

5.1 A GLMM with over-dispersion

108

5.2 Childhood under nutrition in Zambia: spatial analysis

110

5.3 A simple example of survival data analysis

115

6 Conclusions

117

References

118

A graphical models approach for comparing gene sets

120

1 Introduction

104

2 Latent Gaussian models

105

3 Integrated Nested Laplace Approximation

107

4 The INLA package for R

108

5 Case studies

108

5.1 A GLMM with over-dispersion

108

5.2 Childhood undernutrition in Zambia: spatial analysis

110

5.3 A simple example of survival data analysis

115

6 Conclusions

117

References

118

A graphical models approach for comparing gene sets

120

1 Introduction

120

2 A brief introduction to pathways

121

3 Data and graphical models setup

123

4 Test of equality of two concentration matrices

125

5 Conclusions

126

References

126

Predictive densities and prediction limits based onpredictive likelihoods

128

1 Introduction

128

2 Review on predictive methods

129

2.1 Plug-in predictive procedures and improvements

130

2.2 Profile predictive likelihood and modifications

131

3 Likelihood-based predictive distributions and prediction limits

132

3.1 Probability distributions from predictive likelihoods

133

3.2 Prediction limits and coverage probabilities

135

4 Examples

135

4.1 Prediction limits for the sum of future Gaussian observations

136

4.2 Prediction limits for the maximum of future Gaussian observations

138

Appendix

139

References

141

Computer-intensive conditional inference

142

1 Introduction

142

2 An inference problem

144

3 Exponential family and ancillary statistic models

145

4 Analytic approximations

146

5 Bootstrap approximations

147

6 Examples

149

6.1 Inverse Gaussian distribution

149

6.2 Log-normal mean

150

6.3 Weibull distribution

151

6.4 Exponential regression

152

7 Conclusions

153

References

154

Monte Carlo simulation methods for reliability estimation and failure prognostics

156

1 Introduction

157

2 The subset and line sampling methods for realiability estimation

158

3 Particle filtering for failure prognosis

161

4 Conclusions

166

References

167