: Thomas Kneib, Gerhard Tutz
: Thomas Kneib, Gerhard Tutz
: Statistical Modelling and Regression Structures Festschrift in Honour of Ludwig Fahrmeir
: Physica-Verlag
: 9783790824131
: 1
: CHF 85.30
:
: Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik
: English
: 472
: Wasserzeichen
: PC/MAC/eReader/Tablet
: PDF
The contributions collected in this book have been written by well-known statisticians to acknowledge Ludwig Fahrmeir`s far-reaching impact on Statistics as a science, while celebrating his 65th birthday. The contributions cover broad areas of contemporary statistical model building, including semiparametric and geoadditive regression, Bayesian inference in complex regression models, time series modelling, statistical regularization, graphical models and stochastic volatility models.
Foreword5
Acknowledgements7
Contents8
List of Contributors17
The Smooth Complex Logarithm and Quasi- Periodic Models23
1 Foreword23
2 Introduction23
3 Data and Models24
4 More to Explore34
5 Discussion37
References39
P-spline Varying Coefficient Models for Complex Data40
1 Introduction40
2 ÏLarge Scale40
4340
3 Notation and Snapshot of a Smoothing Tool: B-splines45
4 Using B-splines for Varying Coefficient Models47
5 P-spline Snapshot: Equally-Spaced Knots47
4947
6 Optimally Tuning P-splines52
7 MoreKTBResults54
8 Extending P-VCM into the Generalized Linear Model54
9 Two-dimensional Varying Coefficient Models57
10 Discussion Toward More Complex VCMs62
References63
Penalized Splines, Mixed Models and Bayesian Ideas65
1 Introduction65
2 Notation and Penalized Splines as Linear Mixed Models66
3 Classification with Mixed Models68
4 Variable Selection with Simple Priors70
5 Discussion and Extensions76
References77
Bayesian Linear RegressionÛ Different Conjugate Models and Their ( In) Sensitivity to Prior- Data Conflict79
1 Introduction79
2 Prior-data Conflict in the i.i.d. Case82
3 The Standard Approach for Bayesian Linear Regression (SCP)84
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4 An Alternative Approach for Conjugate Priors in Bayesian Linear Regression ( CCCP)88
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5 Discussion and Outlook96
References97
An Efficient Model Averaging Procedure for Logistic Regression Models Using a Bayesian Estimator with Laplace Prior99
1 Introduction99
2 Model Averaging100
3 Simulation Study106
4 Conclusion and Outlook108
References109
Posterior and Cross-validatory Predictive Checks: A Comparison of MCMC and INLA111
1 Introduction111
2 The INLA Approach112
3 Predictive Model Checks with MCMC116
4 Application119
5 Discussion127
References129
Data Augmentation and MCMC for Binary and Multinomial Logit Models131
1 Introduction131
2 MCMC Estimation Based on Data Augmentation for Binary Logit Regression Models133
3 MCMC Estimation Based on Data Augmentation for the Multinomial Logit Regression Model140
4 MCMC Sampling without Data Augmentation143
5 Comparison of the Various MCMC Algorithms145
6 Concluding Remarks150
References151
Generalized Semiparametric Regression with Covariates Measured with Error153
1 Introduction153
2 Semiparametric Regression Models with Measurement Error155
3 Bayesian Inference159
4 Simulations163
5 Incident Heart Failure in the ARIC Study170
6 Summary173
References173
Determinants of the Socioeconomic and Spatial Pattern of Undernutrition by Sex in India: A Geoadditive Semi- parametric Regression Approach175
1 Introduction175
2 TheData178
3 Measurement and Determinants of Undernutrition180
4 Variables Included in the Regression Model182
5 Statistical Methodology - Semiparametric Regression Analysis187
6 Results190
7 Conclusion197
References198
Boosting for Estimating Spatially Structured Additive Models200
1 Introduction200
2 Methods202
3 Results208
4 Discussion213
References214
Generalized Linear Mixed Models Based on Boosting216
1 Introduction216
2 Generalized Linear Mixed Models - GLMM217
3 Boosted Generalized Linear Mixed Models - bGLMM219
4 Application to CD4 Data231
5 Concluding Remarks233
References233
Measurement and Predictors of a Negative Attitude towards Statistics among LMU Students235
1 Introduction235
2 Method237
3 Results239
4 Discussion and Conclusion245
References247
Graphical Chain Models and their Application249
1 Introduction249
2 Graphical Chain Models251
3 Model Selection253
4 Data Set254
5 Results258
6 Discussion261
References262
Appendix264
Indirect Comparison of Interaction Graphs266
1 Introduction267
2 Methods268
3 Example272
4 Discussion274
References276
Appendix277
.278
Modelling, Estimation and Visualization of Multivariate Dependence for High- frequency Data283
1 Multivariate Risk Assessment for Extreme Risk283
2 Measuring Extreme Dependence286
3 Extreme Dependence Estimation296
4 High-frequency Financial Data301
5 Conclusion314
References315
Ordinal- and Continuous-Response Stochastic Volatility Models for Price Changes: An Empirical Comparison317
1 Introduction317
2 Ordinal- and Continuous-Response Stochastic Volatility Models319