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January, 1988 A Generalization of Kolmogorov's Extension Theorem and an Application to the Construction of Stochastic Processes with Random Time Domains
K. Y. Hu
Ann. Probab. 16(1): 222-230 (January, 1988). DOI: 10.1214/aop/1176991896

Abstract

Kolmogorov's extension theorem is generalized so that the time domain is a random set. This is applied to the construction of stochastic processes with random time domains, generalizing certain results of Dynkin and Kuznetsov.

Citation

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K. Y. Hu. "A Generalization of Kolmogorov's Extension Theorem and an Application to the Construction of Stochastic Processes with Random Time Domains." Ann. Probab. 16 (1) 222 - 230, January, 1988. https://doi.org/10.1214/aop/1176991896

Information

Published: January, 1988
First available in Project Euclid: 19 April 2007

zbMATH: 0643.60032
MathSciNet: MR920266
Digital Object Identifier: 10.1214/aop/1176991896

Subjects:
Primary: 60G05
Secondary: 28C20

Keywords: bimeasure , Kolmogorov's extension theorem , regular conditional probability distribution

Rights: Copyright © 1988 Institute of Mathematical Statistics

Vol.16 • No. 1 • January, 1988
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