An Asymptotic Theory for Empirical Reliability and Concentration Processes

Csörgö, Miklos & Sandor Csörgö & Lajos Horváth

ISBN 10: 0387963596 / ISBN 13: 9780387963594

Published by Springer, 1998

About this Item

Crease in front cover, paper browned, otherwise text in clean, solid, reading condition; Lecture Notes in Statistics; 9.61 X 6.69 X 0.47 inches; 173 pages.

Seller Inventory # 223549

Bibliographic Details

• Title: An Asymptotic Theory for Empirical Reliability and Concentration Processes
• Publisher: Springer
• Publication Date: 1998
• Language: English
• ISBN 10: 0387963596
• ISBN 13: 9780387963594
• Binding: Paperback
• Condition: Fair

About this title

Synopsis

Mik16s Cs6rgO and David M. Mason initiated their collaboration on the topics of this book while attending the CBMS-NSF Regional Confer­ ence at Texas A & M University in 1981. Independently of them, Sandor Cs6rgO and Lajos Horv~th have begun their work on this subject at Szeged University. The idea of writing a monograph together was born when the four of us met in the Conference on Limit Theorems in Probability and Statistics, Veszpr~m 1982. This collaboration resulted in No. 2 of Technical Report Series of the Laboratory for Research in Statistics and Probability of Carleton University and University of Ottawa, 1983. Afterwards David M. Mason has decided to withdraw from this project. The authors wish to thank him for his contributions. In particular, he has called our attention to the reverse martingale property of the empirical process together with the associated Birnbaum-Marshall inequality (cf.,the proofs of Lemmas 2.4 and 3.2) and to the Hardy inequality (cf. the proof of part (iv) of Theorem 4.1). These and several other related remarks helped us push down the 2 moment condition to EX < 00 in all our weak approximation theorems.