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TITLE: ASYMPTOTICS FOR ASSOCIATED RANDOM VARIABLES
PUBLISHER: SPRINGER LANGUAGE: ENGLISH
LINK: http://is.gd/TCfGsn RELEASE TYPE: RETAIL
FORMAT: PDF RELEASE DATE: 2014.05.02
ISBN: 9783642255328 STORE DATE: 2012
SAVED.MONEY: 60 EURO DISKCOUNT: 01 x 05MB
AUTHOR: OLIVEIRA, PAULO EDUARDO
BOOK
The book concerns the notion of association in probability and
statistics. Association and some other positive dependence
notions were introduced in 1966 and 1967 but received little
attention from the probabilistic and statistics community. The
interest in these dependence notions increased in the last 15 to
20 years, and many asymptotic results were proved and improved
Despite this increased interest, characterizations and results
remained essentially scattered in the literature published in
different journals. The goal of this book is to bring together
the bulk of these results, presenting the theory in a unified
way, explaining relations and implications of the results. It
will present basic definitions and characterizations, followed by
a collection of relevant inequalities. These are then applied to
characterize almost sure and weak convergence of sequences of
associated variables. It will also cover applications of positive
dependence to the characterization of asymptotic results in
nonparametric statistics. The book is directed towards
researchers in probability and statistics, with particular
emphasis on people interested in nonparametric methods. It will
also be of interest to graduate students in those areas. The book
could also be used as a reference on association in a course
covering dependent variables and their asymptotics
As prerequisite, readers should have knowledge of basic
probability on the reals and on metric spaces. Some acquaintance
with the asymptotics of random functions, such us empirical
processes and partial sums processes, is useful but not
essential
