Limit theorems for randomly stopped stochastic processes /

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Bibliographic Details
Author / Creator:Silʹvestrov, D. S. (Dmitriĭ Sergeevich)
Imprint:London ; New York : Springer, c2004.
Description:xiv, 398 p. : ill. ; 24 cm.
Language:English
Series:Probability and its applications
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/5164200
Hidden Bibliographic Details
ISBN:185233777X (acid-free paper)
Notes:Includes bibliographical references (p. [351]-391) and index.

MARC

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300 |a xiv, 398 p. :  |b ill. ;  |c 24 cm. 
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504 |a Includes bibliographical references (p. [351]-391) and index. 
505 0 0 |g 1.  |t Weak convergence of stochastic processes --  |g 1.1.  |t Introductory remarks --  |g 1.2.  |t Weak convergence in R[subscript m] --  |g 1.3.  |t Weak convergence in metric spaces --  |g 1.4.  |t The space D of cadlag functions --  |g 1.5.  |t J-continuous functionals --  |g 1.6.  |t J-convergence of cadlag processes --  |g 2.  |t Weak convergence of randomly stopped stochastic processes --  |g 2.1.  |t Introductory remarks --  |g 2.2.  |t Randomly stopped scalar cadlag processes --  |g 2.3.  |t Randomly stopped vector cadlag processes --  |g 2.4.  |t Weakened continuity conditions --  |g 2.5.  |t Iterated weak limits --  |g 2.6.  |t Scalar compositions of cadlag processes --  |g 2.7.  |t Vector compositions of cadlag processes --  |g 2.8.  |t Translation theorems --  |g 2.9.  |t Randomly stopped locally compact cadlag processes --  |g 3.  |t J-convergence of compositions of stochastic processes --  |g 3.1.  |t Introductory remarks --  |g 3.2.  |t Compositions with asymptotically continuous components --  |g 3.3.  |t Asymptotically continuous external processes --  |g 3.4.  |t Asymptotically continuous internal stopping processes --  |g 3.5.  |t Semi-vector compositions of cadlag functions --  |g 3.6.  |t Semi-vector compositions of cadlag processes --  |g 3.7.  |t Vector compositions of cadlag functions --  |g 3.8.  |t Vector compositions of cadlag processes --  |g 4.  |t Summary of applications --  |g 4.1.  |t Introductory remarks --  |g 4.2.  |t Randomly stopped sum-processes --  |g 4.3.  |t Generalised exceeding processes --  |g 4.4.  |t Step generalised exceeding processes --  |g 4.5.  |t Sum-processes with renewal stopping --  |g 4.6.  |t Accumulation processes --  |g 4.7.  |t Extremes with random sample size --  |g 4.8.  |t Mixed sum-max processes --  |g 4.9.  |t Max-processes with renewal stopping --  |g 4.10.  |t Shock processes. 
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