Comparison of linear and quadratic discriminant functions
线性与二次判别函数的比较
Asymptotic expansions of the distributions of the linear and the quadratic discriminant functions are derived. The expected misclassification probabilities of these two functions are compared when the covariance matrices are proportional and the sample sizes are equal. Some numerical experiments are carried out to investigate the relation between the parameters and the boundary point such that if the sample size is smaller than the point the linear discriminant function is…