Statistical Analysis of Curve Data

Statistical Analysis of Curve Data

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Description

Mathematically oriented yet rich in applications, this monograph discusses not only the analysis of single curves, but also of samples of curves - a topic of both practical and theoretical interest. Rapid progress in recent years with respect to bandwidth choice, local polynomials, multidimensional designs, and algorithms make the topics in the first section both timely and valuable. Much of the material in the last two sections appears here in book form for the first time. Written on a level accessible to graduate students in statistics and mathematics, this will be an important reference for a broad audience of researchers and statisticians working in many fields of applications.show more

Product details

  • Hardback | 450 pages
  • Taylor & Francis Ltd
  • Chapman & Hall/CRC
  • United States
  • English
  • 1584880813
  • 9781584880813

Table of contents

NONPARAMETRIC REGRESSION: Introduction and Overview. Basic Methods in One Dimension. Choice of Kernels and Treatment of Boundary. Optimality Results. Residual Variance and Confidence Bands. Bandwidth Choice. Multidimensional Designs. Theoretical Results. Reduction of Complexity by Model Selection. STRUCTURAL ANALYSIS OF SAMPLES OF CURVES: Introduction. Feature Extraction. Structural Analysis and a Valid Curve Average. Functiona; PCA and Related Approaches. SELF-MODELING REGRESSION (SEMOR): Introduction. Description of the Method. Shape-Invariant Models. Identifying a Best Linear Regression Model.show more