Instruction to Statistical Pattern Recognition - 1st Edition - ISBN: 9780122698507, 9780323162784

Instruction to Statistical Pattern Recognition

1st Edition

Editors: Keinosuke Fukunaga
eBook ISBN: 9780323162784
Imprint: Academic Press
Published Date: 28th January 1972
Page Count: 386
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Introduction to Statistical Pattern Recognition introduces the reader to statistical pattern recognition, with emphasis on statistical decision and estimation. Pattern recognition problems are discussed in terms of the eigenvalues and eigenvectors. Comprised of 11 chapters, this book opens with an overview of the formulation of pattern recognition problems. The next chapter is devoted to linear algebra, with particular reference to the properties of random variables and vectors. Hypothesis testing and parameter estimation are then discussed, along with error probability estimation and linear classifiers. The following chapters focus on successive approaches where the classifier is adaptively adjusted each time one sample is observed; feature selection and linear mapping for one distribution and multidistributions; and problems of nonlinear mapping. The final chapter describes a clustering algorithm and considers criteria for both parametric and nonparametric clustering. This monograph will serve as a text for the introductory courses of pattern recognition as well as a reference book for practitioners in the fields of mathematics and statistics.

Table of Contents

Preface Acknowledgments Chapter 1 Introduction 1.1 Formulation of Pattern Recognition Problems 1.2 Chapter Outlines Chapter 2 Random Vectors and Their Properties 2.1 Random Vectors and Their Distributions 2.2 Properties of Distributions 2.3 Transformation of Random Vectors 2.4 Various Properties of Eigenvalues and Eigenvectors Standard Data Computer Projects Problems Chapter 3 Hypothesis Testing 3.1 Simple Hypothesis Tests 3.2 Error Probability in Hypothesis Testing 3.3 Upper Bounds on Error Probability 3.4 Other Hypothesis Tests 3.5 Sequential Hypothesis Testing Computer Projects Problems Chapter 4 Linear Classifiers 4.1 The Bayes Linear Classifier 4.2 Linear Discriminant Function for Minimum Error 4.3 Linear Discriminant Function for Minimum Mean-Square Error 4.4 Desired Output and Mean-Square Error 4.5 Other Discriminant Functions Computer Projects Problems Chapter 5 Parameter Estimation 5.1 Estimation of Nonrandom Parameters 5.2 Estimation of Random Parameters 5.3 Interval Estimation 5.4 Estimation of the Probability of Error Appendix 5-1 Calculation of the Bias between the C Method and the Leaving-One-Out Method Computer Projects Problems Chapter 6 Estimation of Density Functions 6.1 Parzen Estimate 6.2 k-Nearest Neighbor Approach 6.3 Histogram Approach 6.4 Expansion by Basis Functions Computer Projects Problems Chapter 7 Successive Parameter Estimation 7.1 Successive Adjustment of a Linear Classifier 7.2 Stochastic Approximation 7.3 Successive Bayes Estimation Computer Projects Problems Chapter 8 Feature Selection and Linear Mapping for One Distribution 8.1 The Discrete Karhunen-Loève Expansion 8.2 Other Criteria for One Distribution 8.3 The Karhunen-Loève Expansion for Random Processes


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© Academic Press 1972
Academic Press
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About the Editor

Keinosuke Fukunaga

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