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Theory of Stochastic Processes, 2010, Volume 16(32), Issue 2, Pages 126–131 (Mi thsp81)  

New functional estimator in quadratic errors-in-variables model

Elena Usoltsevaa, Alexander Kukushb

a Radiophysical Department, Kiev Taras Shevchenko University, Volodymyrska str. 64, 01601 Kiev, Ukraine
b Department of Mathematics, Kiev Taras Shevchenko University, Volodymyrska str. 64, 01601 Kiev, Ukraine
References:
Abstract: A quadratic structural errors-in-variables model is considered. Functional estimators that are generated by estimating the functions conditionally unbiased given the latent variable are studied. Those estimators are constructed without the knowledge of the latent variable distribution. A problem is studied how to construct an estimator from the class which has the smallest, in certain sense, asymptotic covariance matrix.
Keywords: Asymptotic covariance matrix, efficient estimator, functional estimator, quadratic errors-in-variables model.
Funding agency Grant number
Swedish Institute SI-01424/2007
Both authors are supported by the Swedish Institute grant SI-01424/2007.
Bibliographic databases:
Document Type: Article
MSC: 62J05, 62F12
Language: English
Citation: Elena Usoltseva, Alexander Kukush, “New functional estimator in quadratic errors-in-variables model”, Theory Stoch. Process., 16(32):2 (2010), 126–131
Citation in format AMSBIB
\Bibitem{UsoKuk10}
\by Elena Usoltseva, Alexander Kukush
\paper New functional estimator in quadratic errors-in-variables model
\jour Theory Stoch. Process.
\yr 2010
\vol 16(32)
\issue 2
\pages 126--131
\mathnet{http://mi.mathnet.ru/thsp81}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2779991}
\zmath{https://zbmath.org/?q=an:1248.62032}
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  • https://www.mathnet.ru/eng/thsp81
  • https://www.mathnet.ru/eng/thsp/v16/i2/p126
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