THEORETICAL PROPERTIES OF PRINCIPAL COMPONENT SCORE DENSITY STIMATORS IN FUNCTIONAL DATA ANALYSIS

摘要

It is a great pleasure to contribute to this volume in honour of Pro-fessor V.V. Petrov. Thirty-five years have passed since his master work, Petrov (1975), first appeared, and 15 years since the updated version, Petrov (1995). Both monographs, and Professor Petrov's work more generally, have had a substantial influence on our research. Indeed, Petrov (1975) has travelled the world so often with the second author that the book is now in a particularly tattered state! However, the most-used portions still travel today. We wish Professor Petrov a very enjoyable 80th anniversary, and a long and healthy life.