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You searched IISERK - Subject: Limulus polyphemus Eggs Delaware Bay (Del. and N.J.)
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Call Number 519.2/3
Author Billingsley, Patrick.
Title Weak convergence of measures [electronic resource] : applications in probability / Patrick Billingsley.
Publication Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), [c1971]
Material Info. 1 electronic text (ix, 31 p.) : digital file.
Series Regional conference series in applied mathematics ; 5
Series CBMS-NSF regional conference series in applied mathematics ; 5.
Summary Note A treatment of the convergence of probability measures from the foundations to applications in limit theory for dependent random variables. Mapping theorems are proved via Skorokhod's representation theorem; Prokhorov's theorem is proved by construction of a content. The limit theorems at the conclusion are proved under a new set of conditions that apply fairly broadly, but at the same time make possible relatively simple proofs.
Notes Includes bibliographical references (p. 28-31).
Notes Weak convergence -- Random elements and convergence in distribution -- Prokhorov's theorem -- The space C -- A maximal inequality -- Tightness -- Limit theorems.
ISBN 9781611970623 (electronic bk.)
Subject Convergence.
Subject Measure theory.
Subject Metric spaces.
Subject Probabilities.
Subject Convergence
Subject Probability
Subject Prokhorov's theorem
Subject Maximal inequality
Subject Limit theorems
Added Entry Society for Industrial and Applied Mathematics.
Date Year, Month, Day:01405141
Link SIAM:

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