Limit theorems for stochastic processes /

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Bibliographic Details
Author / Creator:Jacod, Jean.
Edition:2nd ed.
Imprint:New York : Springer, 2002.
Description:xx, 660 p. ; 25 cm.
Language:English
Series:Grundlehren der mathematischen Wissenschaften, 0072-7830 ; 288
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/4771025
Hidden Bibliographic Details
Other authors / contributors:Shiri͡aev, Alʹbert Nikolaevich.
ISBN:3540439323 (alk. paper)
Notes:Includes bibliographical references and indexes.

MARC

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245 1 0 |a Limit theorems for stochastic processes /  |c Jean Jacod, Albert N. Shiryaev. 
250 |a 2nd ed. 
260 |a New York :  |b Springer,  |c 2002. 
300 |a xx, 660 p. ;  |c 25 cm. 
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440 0 |a Grundlehren der mathematischen Wissenschaften,  |x 0072-7830 ;  |v 288 
504 |a Includes bibliographical references and indexes. 
505 0 0 |g Ch. I.  |t The General Theory of Stochastic Processes, Semimartingales and Stochastic Integrals --  |g 1.  |t Stochastic Basis, Stopping Times, Optional [sigma]-Field, Martingales --  |g 2.  |t Predictable [sigma]-Field, Predictable Times --  |g 3.  |t Increasing Processes --  |g 4.  |t Semimartingales and Stochastic Integrals --  |g Ch. II.  |t Characteristics of Semimartingales and Processes with Independent Increments --  |g 1.  |t Random Measures --  |g 2.  |t Characteristics of Semimartingales --  |g 3.  |t Some Examples --  |g 4.  |t Semimartingales with Independent Increments --  |g 5.  |t Processes with Independent Increments Which Are Not Semimartingales --  |g 6.  |t Processes with Conditionally Independent Increments --  |g 7.  |t Progressive Conditional Continuous PIIs --  |g 8.  |t Semimartingales, Stochastic Exponential and Stochastic Logarithm --  |g Ch. III.  |t Martingale Problems and Changes of Measures --  |g 1.  |t Martingale Problems and Point Processes --  |g 2.  |t Martingale Problems and Semimartingales --  |g 3.  |t Absolutely Continuous Changes of Measures --  |g 4.  |t Representation Theorem for Martingales --  |g 5.  |t Absolutely Continuous Change of Measures: Explicit Computation of the Density Process --  |g 6.  |t Integrals of Vector-Valued Processes and [sigma]-martingales --  |g 7.  |t Laplace Cumulant Processes and Esscher's Change of Measures --  |g Ch. IV.  |t Hellinger Processes, Absolute Continuity and Singularity of Measures --  |g 1.  |t Hellinger Integrals and Hellinger Processes --  |g 2.  |t Predictable Criteria for Absolute Continuity and Singularity --  |g 3.  |t Hellinger Processes for Solutions of Martingale Problems --  |g 4.  |t Examples --  |g Ch. V.  |t Contiguity, Entire Separation, Convergence in Variation --  |g 1.  |t Contiguity and Entire Separation --  |g 2.  |t Predictable Criteria for Contiguity and Entire Separation --  |g 3.  |t Examples --  |g 4.  |t Variation Metric --  |g Ch. VI.  |t Skorokhod Topology and Convergence of Processes --  |g 1.  |t The Skorokhod Topology --  |g 2.  |t Continuity for the Skorokhod Topology --  |g 3.  |t Weak Convergence --  |g 4.  |t Criteria for Tightness: The Quasi-Left Continuous Case --  |g 5.  |t Criteria for Tightness: The General Case --  |g 6.  |t Convergence, Quadratic Variation, Stochastic Integrals --  |g Ch. VII.  |t Convergence of Processes with Independent Increments --  |g 1.  |t Introduction to Functional Limit Theorems --  |g 2.  |t Finite-Dimensional Convergence --  |g 3.  |t Functional Convergence and Characteristics --  |g 4.  |t More on the General Case --  |g 5.  |t The Central Limit Theorem --  |g Ch. VIII.  |t Convergence to a Process with Independent Increments --  |g 1.  |t Finite-Dimensional Convergence, a General Theorem --  |g 2.  |t Convergence to a PII Without Fixed Time of Discontinuity --  |g 3.  |t Applications --  |g 4.  |t Convergence to a General Process with Independent Increments --  |g 5.  |t Convergence to a Mixture of PII's Stable Convergence and Mixing Convergence --  |g Ch. IX.  |t Convergence to a Semimartingale --  |g 1.  |t Limits of Martingales --  |g 2.  |t Identification of the Limit --  |g 3.  |t Limit Theorems for Semimartingales --  |g 4.  |t Applications --  |g 5.  |t Convergence of Stochastic Integrals --  |g 6.  |t Stability for Stochastic Differential Equation --  |g 7.  |t Stable Convergence to a Progressive Conditional Continuous PII --  |g Ch. X.  |t Limit Theorems, Density Processes and Contiguity --  |g 1.  |t Convergence of the Density Processes to a Continuous Process --  |g 2.  |t Convergence of the Log-Likelihood to a Process with Independent Increments --  |g 3.  |t The Statistical Invariance Principle. 
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650 0 |a Limit theorems (Probability theory)  |0 http://id.loc.gov/authorities/subjects/sh85077023 
650 7 |a Limit theorems (Probability theory)  |2 fast  |0 http://id.worldcat.org/fast/fst00998881 
650 7 |a Semimartingales (Mathematics)  |2 fast  |0 http://id.worldcat.org/fast/fst01112273 
700 1 |a Shiri͡aev, Alʹbert Nikolaevich.  |1 http://viaf.org/viaf/106942744 
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927 |t Library of Congress classification  |a QA274.5.J33 2002  |l JCL  |c JCL-Sci  |e CRERAR  |b 63138963  |i 7368442