An Asymptotic Theory for Empirical Reliability and Concentration Processes:
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Bibliographic Details
Main Author: Csörgő, Miklós (Author)
Format: Electronic eBook
Language:English
Published: New York, NY Springer New York 1986
Series:Lecture Notes in Statistics 33
Subjects:
Online Access:Volltext
Item Description:Miklós Csörgő and David M. Mason initiated their collaboration on the topics of this book while attending the CBMS-NSF Regional Conference at Texas A & M University in 1981. Independently of them, Sandor Csörgő and Lajos Horváth 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
Physical Description:1 Online-Ressource (V, 173 p)
ISBN:9781461564201
9780387963594
ISSN:0930-0325
DOI:10.1007/978-1-4615-6420-1

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