Nonparametric Function Estimation, Modeling, and Simulation

Topics emphasized in this book include nonparametric density estimation as an exploratory device plus the deeper models to which the exploratory analysis points, multi-dimensional data analysis, and analysis of remote sensing data, cancer progression, chaos theory, epidemiological modeling, and parallel based algorithms. New methods discussed are quick nonparametric density estimation based techniques for resampling and simulation based estimation techniques not requiring closed form solutions. Nonparametric Function Estimation,Modeling, and Simulation......Page 1 Contents......Page 8 Preface......Page 12 CHAPTER 1 Historical Background......Page 18 CHAPTER 2 Some Approaches to Nonparametric Density Estimation......Page 41 CHAPTER 3 Maximum Likelihood Density Estimation......Page 109 CHAPTER 4 Maximum Penalized Likelihood Estimation......Page 119 CHAPTER 5 Discrete Maximum Penalized Likelihood Estimation......Page 138 CHAPTER 6 Nonparametric Density Estimation In Higher Dimensions......Page 163 CHAPTER 7 Nonpar ametric Regression and Intensity Function Estimation......Page 203 CHAPTER 8 Model Building:Speculative Data Analysis......Page 231 APPENDIX I An Introduction to Mathematical Optimization Theory......Page 270 APPENDIX II Numerical Solution of Constrained Optimization Problems......Page 290 APPENDIX III Optimization Algorithms for Noisy Problems......Page 296 APPENDIX IV A Brief Primer in Simulation......Page 304 Index......Page 316 James R. Thompson, Richard A. Tapia. Includes Bibliographical References And Index.