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Applied Modeling Techniques and Data Analysis 1
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Title Page
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Preface
PART 1: Computational Data Analysis
1 A Variant of Updating PageRank in Evolving Tree Graphs
1.1. Introduction
1.2. Notations and definitions
1.3. Updating the transition matrix
1.4. Updating the PageRank of a tree graph
1.5. Maintaining the levels of vertices in a changing tree graph
1.6. Conclusion
1.7. Acknowledgments
1.8. References
2 Nonlinearly Perturbed Markov Chains and Information Networks
2.1. Introduction
2.2. Stationary distributions for Markov chains with damping component
2.3. A perturbation analysis for stationary distributions of Markov chains with damping component
2.4. Coupling and ergodic theorems for perturbed Markov chains with damping component
2.5. Acknowledgments
2.6. References
3 PageRank and Perturbed Markov Chains
3.1. Introduction
3.2. PageRank of the first-order perturbed Markov chain
3.3. PageRank of the second-order perturbed Markov chain
3.4. Rates of convergence of PageRanks of first- and second-order perturbed Markov chains
3.5. Conclusion
3.6. Acknowledgments
3.7. References
4 Doubly Robust Data-driven Distributionally Robust Optimization
4.1. Introduction
4.2. DD-DRO, optimal transport and supervised machine learning
4.3. Data-driven selection of optimal transport cost function
4.4. Robust optimization for metric learning
4.5. Numerical experiments
4.6. Discussion and conclusion
4.7. References
5 A Comparison of Graph Centrality Measures Based on Lazy Random Walks
5.1. Introduction
5.2. Review on some centrality measures
5.3. Generalizations of centrality measures
5.4. Experimental results
5.5. Discussion
5.6. Conclusion
5.7. Acknowledgments
5.8. References
6 Error Detection in Sequential Laser Sensor Input
6.1. Introduction
6.2. Data description
6.3. Algorithms
6.4. Results
6.5. Acknowledgments
6.6. References
7 Diagnostics and Visualization of Point Process Models for Event Times on a Social Network
7.1. Introduction
7.2. Background
7.3. Model checking for time heterogeneity
7.4. Model checking for network heterogeneity and structure
7.5. Summary
7.6. Acknowledgments
7.7. References
PART 2: Data Analysis Methods and Tools
8 Exploring the Distribution of Conditional Quantile Estimates: An Application to Specific Costs of Pig Production in the European Union
8.1. Introduction
8.2. Conceptual framework and methodological aspects
8.3. Results
8.4. Conclusion
8.5. References
9 Maximization Problem Subject to Constraint of Availability in Semi-Markov Model of Operation
9.1. Introduction
9.2. Semi-Markov decision process
9.3. Semi-Markov decision model of operation
9.4. Optimization problem
9.5. Numerical example
9.6. Conclusion
9.7. References
10 The Impact of Multicollinearity on Big Data Multivariate Analysis Modeling
10.1. Introduction
10.2. Multicollinearity
10.3. Dimension reduction techniques
10.4. Application
10.5. Acknowledgments
10.6. References
11 Weak Signals in High-Dimensional Poisson Regression Models
11.1. Introduction
11.2. Statistical background
11.3. Methodologies
11.4. Numerical studies
11.5. Conclusion
11.6. Acknowledgments
11.7. References
12 Groundwater Level Forecasting for Water Resource Management
12.1. Introduction
12.2. Materials and methods
12.3. Results
12.4. Conclusion
12.5. References
13 Phase I Non-parametric Control Charts for Individual Observations: A Selective Review and Some Results
13.1. Introduction
13.2. Problem formulation
13.3. A comparative study
13.4. Concluding remarks
13.5. References
14 On Divergence and Dissimilarity Measures for Multiple Time Series
14.1. Introduction
14.2. Classical measures
14.3. Divergence measures
14.4. Dissimilarity measures for ordered data
14.5. Conclusion
14.6. References
List of Authors
Index
End User License Agreement
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