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You searched IISERK - Subject: Limulus polyphemus Eggs Delaware Bay (Del. and N.J.)
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Call Number
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519.2/3
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Author
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Billingsley, Patrick.
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Title
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Weak convergence of measures [electronic resource] : applications in probability / Patrick Billingsley.
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Publication
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Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), [c1971]
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Material Info.
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1 electronic text (ix, 31 p.) : digital file.
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Series
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Regional conference series in applied mathematics ; 5
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Series
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CBMS-NSF regional conference series in applied mathematics ; 5.
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Summary Note
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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.
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Notes
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Includes bibliographical references (p. 28-31).
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Notes
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Weak convergence -- Random elements and convergence in distribution -- Prokhorov's theorem -- The space C -- A maximal inequality -- Tightness -- Limit theorems.
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ISBN
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9781611970623 (electronic bk.)
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Subject
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Convergence.
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Subject
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Measure theory.
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Subject
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Metric spaces.
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Subject
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Probabilities.
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Subject
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Convergence
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Subject
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Probability
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Subject
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Prokhorov's theorem
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Subject
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Maximal inequality
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Subject
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Limit theorems
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Added Entry
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Society for Industrial and Applied Mathematics.
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Date
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Year, Month, Day:01405141
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Link
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SIAM:
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