Page 12 - Introduction to Statistical Pattern Recognition
P. 12
Viii Contents
Chapter 3 Hypothesis Testing 51
3.1 Hypothesis Tests for Two Classes ................... 51
3.2 Other Hypothesis Tests ........................... 65
3.3 Error Probability in Hypothesis Testing ............. 85
3.4 Upper Bounds on the Bayes Error .................. 97
3.5 Sequential Hypothesis Testing .................... 110
Computer Projects .............................. 119
Problems ...................................... 120
References .................................... 122
Chapter 4 Parametric Classifiers 124
4.1 The Bayes Linear Classifier ....................... 125
4.2 Linear Classifier Design ......................... 131
4.3 Quadratic Classifier Design ...................... 153
4.4 Other Classifiers ................................ 169
Computer Projects .............................. 176
Problems ...................................... 177
References ..................................... 180
Chapter 5 Parameter Estimation 181
5.1 Effect of Sample Size in Estimation ................ 182
5.2 Estimation of Classification Errors ................ 196
5.3 Holdout. LeaveOneOut. and Resubstitution
Methods ...................................... 219
5.4 Bootstrap Methods ............................. 238
Computer Projects .............................. 250
Problems ...................................... 250
References .................................... 252
Chapter 6 Nonparametric Density Estimation 254
6.1 Parzen Density Estimate ........................ 255
6.2 kNearest Neighbor Density Estimate .............. 268
6.3 Expansion by Basis Functions .................... 287
Computer Projects .............................. 295
Problems ..................................... 296
References .................................... 297
