Gaussian Estimation of One-Factor Mean Reversion Processes

We propose a new alternative method to estimate the parameters in one-factor mean reversion processes based on the maximum likelihood technique. This approach makes use of Euler-Maruyama scheme to approximate the continuous-time model and build a new process discretized. The closed formulas for the...

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Main Authors: Freddy H. Marín Sánchez, J. Sebastian Palacio
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2013/239384
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author Freddy H. Marín Sánchez
J. Sebastian Palacio
author_facet Freddy H. Marín Sánchez
J. Sebastian Palacio
author_sort Freddy H. Marín Sánchez
collection DOAJ
description We propose a new alternative method to estimate the parameters in one-factor mean reversion processes based on the maximum likelihood technique. This approach makes use of Euler-Maruyama scheme to approximate the continuous-time model and build a new process discretized. The closed formulas for the estimators are obtained. Using simulated data series, we compare the results obtained with the results published by other authors.
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institution Kabale University
issn 1687-952X
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publishDate 2013-01-01
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series Journal of Probability and Statistics
spelling doaj-art-a1988b47acac41318d0ebd177b330c392025-02-03T01:24:22ZengWileyJournal of Probability and Statistics1687-952X1687-95382013-01-01201310.1155/2013/239384239384Gaussian Estimation of One-Factor Mean Reversion ProcessesFreddy H. Marín Sánchez0J. Sebastian Palacio1Basic Science Department, Eafit University, Carrera 49 No. 7 Sur 50, Medellin, ColombiaBasic Science Department, Eafit University, Carrera 49 No. 7 Sur 50, Medellin, ColombiaWe propose a new alternative method to estimate the parameters in one-factor mean reversion processes based on the maximum likelihood technique. This approach makes use of Euler-Maruyama scheme to approximate the continuous-time model and build a new process discretized. The closed formulas for the estimators are obtained. Using simulated data series, we compare the results obtained with the results published by other authors.http://dx.doi.org/10.1155/2013/239384
spellingShingle Freddy H. Marín Sánchez
J. Sebastian Palacio
Gaussian Estimation of One-Factor Mean Reversion Processes
Journal of Probability and Statistics
title Gaussian Estimation of One-Factor Mean Reversion Processes
title_full Gaussian Estimation of One-Factor Mean Reversion Processes
title_fullStr Gaussian Estimation of One-Factor Mean Reversion Processes
title_full_unstemmed Gaussian Estimation of One-Factor Mean Reversion Processes
title_short Gaussian Estimation of One-Factor Mean Reversion Processes
title_sort gaussian estimation of one factor mean reversion processes
url http://dx.doi.org/10.1155/2013/239384
work_keys_str_mv AT freddyhmarinsanchez gaussianestimationofonefactormeanreversionprocesses
AT jsebastianpalacio gaussianestimationofonefactormeanreversionprocesses