Provides theoretical insights and justification of the statistical procedures for the analysis of high-dimensional data Presents a general framework of regularization methods Covers feature screening for ultrahigh-dimensional data Describes large-scale covariance estimation

This volume is a collection of papers in celebration of the 80th birthday of Yuan-Shih Chow, whose influential work in probability and mathematical statistics has contributed greatly to mathematics education and the development of statistics research and application in Taiwan and mainland China. The twenty-two papers cover a wide range of problems reflecting both the broad scope of areas where Professor Chow has made major contributions and recent advances in probability theory and statistics.