Nonparametric Function Estimation, Modeling, and Simulation

✍ Scribed by James R. Thompson, Richard A. Tapia

• Publisher: Society for Industrial and Applied Mathematics
• Year: 1987
• Tongue: English
• Leaves: 321
• Edition: illustrated edition
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

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