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April, 1993 Asymptotic Expansions for Martingales
Per Aslak Mykland
Ann. Probab. 21(2): 800-818 (April, 1993). DOI: 10.1214/aop/1176989268

Abstract

The paper contains a "smoothed" one-step triangular array asymptotic expansion for discrete-time martingales. An important element of the proof is a second-order description of Skorokhod embedding of discrete martingales in continuous ones. An application to Markov processes is given, along with a bootstrapping example.

Citation

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Per Aslak Mykland. "Asymptotic Expansions for Martingales." Ann. Probab. 21 (2) 800 - 818, April, 1993. https://doi.org/10.1214/aop/1176989268

Information

Published: April, 1993
First available in Project Euclid: 19 April 2007

zbMATH: 0776.60047
MathSciNet: MR1217566
Digital Object Identifier: 10.1214/aop/1176989268

Subjects:
Primary: 60F99
Secondary: 60G42 , 60J05 , 62E20 , 62M09 , 62M10

Keywords: Bootstrapping , Edgeworth expansions , Markov processes , Martingales , Skorokhod embedding , time series

Rights: Copyright © 1993 Institute of Mathematical Statistics

Vol.21 • No. 2 • April, 1993
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