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Maximum likelihood estimators of clock offset and skew under exponential delays

Maximum likelihood estimators of clock offset and skew under exponential delays Accurate clock synchronization is essential for many data network applications. Various algorithms for synchronizing clocks rely on estimators of the offset and skew parameters that describe the relation between times measured by two different clocks. Maximum likelihood estimation (MLE) of these parameters has previously been considered under the assumption of exponentially distributed network delays with known means. We derive the MLEs under the more common case of exponentially distributed network delays with unknown means and compare their mean‐squared error properties to a recently proposed alternative estimator. We investigate the robustness of the derived MLE to the assumption of non‐exponential network delays, and demonstrate the effectiveness of a bootstrap bias‐correction technique. Copyright © 2009 John Wiley & Sons, Ltd. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Stochastic Models in Business and Industry Wiley

Maximum likelihood estimators of clock offset and skew under exponential delays

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References (10)

Publisher
Wiley
Copyright
Copyright © 2009 John Wiley & Sons, Ltd.
ISSN
1524-1904
eISSN
1526-4025
DOI
10.1002/asmb.777
Publisher site
See Article on Publisher Site

Abstract

Accurate clock synchronization is essential for many data network applications. Various algorithms for synchronizing clocks rely on estimators of the offset and skew parameters that describe the relation between times measured by two different clocks. Maximum likelihood estimation (MLE) of these parameters has previously been considered under the assumption of exponentially distributed network delays with known means. We derive the MLEs under the more common case of exponentially distributed network delays with unknown means and compare their mean‐squared error properties to a recently proposed alternative estimator. We investigate the robustness of the derived MLE to the assumption of non‐exponential network delays, and demonstrate the effectiveness of a bootstrap bias‐correction technique. Copyright © 2009 John Wiley & Sons, Ltd.

Journal

Applied Stochastic Models in Business and IndustryWiley

Published: Jul 1, 2009

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