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Statistics & Probability Letters, 2018, Volume 139, Pages 141–151
DOI: https://doi.org/10.1016/j.spl.2018.04.004
(Mi spl2)
 

This article is cited in 3 scientific papers (total in 3 papers)

On limit distributions of estimators in irregular statistical models and a new representation of fractional Brownian motion

Nino E. Kordzakhiaa, Yury A. Kutoyantsbcd, Alexander A. Novikovef, Lin-Yee Hina

a Macquarie University, Sydney, NSW 2109, Australia
b Universite du Maine, Le Mans, France
c National Research University MPEI, Moscow, Russia
d Tomsk State University, Int Lab Stat Stochast Proc & Quantitat Finance, Tomsk, Russia
e University of Technology, Sydney, NSW 2007, Australia
f Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Citations (3)
Funding agency Grant number
Russian Science Foundation 14-49-00079
14-21-00162
Australian Research Council DP150102758
Research of Y. Kutoyants (partially supported by the grant of RSF 14-49-00079) was devoted to the analytical study of the asymptotic behavior of the MLE and BE estimators (Sections 1 and 3, Theorem 2). Research of A.Novikov was supported by the RSF 14-21-00162 and it was devoted to the representation of the fractional Brownian motion (Sections 1 and 2, Theorem 2) and to the simulation results (Section 4). Research of L. Hin was supported by Australian Research Council DP150102758. The authors are grateful to T. G. Ling for providing the C++ code for simulation of fBm.
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Document Type: Article
Language: English
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