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Theory of Probability and Mathematical Statistics

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Two component binary statistical experiments with persistent linear regression

Author: D. V. Koroliouk
Translated by: S. Kvasko
Original publication: Teoriya Imovirnostei ta Matematichna Statistika, tom 90 (2014).
Journal: Theor. Probability and Math. Statist. 90 (2015), 103-114
MSC (2010): Primary 60J70
Published electronically: August 7, 2015
MathSciNet review: 3242023
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Abstract | References | Similar Articles | Additional Information

Abstract: A sequence of binary statistical experiments generated by a sample of random variables with persistent linear regression is studied. A stochastic approximation for a sequence of statistical experiments is constructed in terms of an autoregressive process with normal noise. For a sequence of exponential statistical experiments, a stochastic approximation is constructed, as well, with the help of an exponential normal autoregressive process.

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Additional Information

D. V. Koroliouk
Affiliation: Institute of Telecommunications and Global Information Space of National Academy of Science of Ukraine, Chokolovskiĭ Blvd., 13, Kyiv, 03110, Ukraine

Keywords: Binary statistical experiment, persistent linear regression, stabilization, stochastic approximation, exponential statistical experiment, exponential normal autoregressive process
Received by editor(s): April 26, 2013
Published electronically: August 7, 2015
Article copyright: © Copyright 2015 American Mathematical Society

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