Professor Hira Lal Koul’s Contribution to Statistics

摘要: Professor Hira Koul received his Ph.D. in Statistics from the University of California, Berkeley 1967 under supervision Peter Bickel. He has unique distinction being first doctoral student True to training at Berkeley, initial years research career, he focused on developing asymptotic theory statistical inference. pioneered approach Asymptotic Uniform Linearity (AUL) as a theoretical tool for studying properties empirical process based residuals semiparametric model. This been widely employed by several authors tests composite hyptheses, and particularly powerful deriving limit laws goodness-of-fit tests. At around same time, also developed weighted processes which played fundamental role study distribution robust estimators (e.g., Rank-based M-estimators) linear regression models. An elegant account independent well dependent random variables is given monographs topic