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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive

Proceedings of the YSU, Physical and Mathematical Sciences, 1991 Issue 1, Pages 11–16 (Mi uzeru764)

Mathematics

On consistency of minimal distance estimate for diffusion observations

A. M. Ebady, Yu. A. Kutoyants

Yerevan State University

Abstract: This paper deals with the problem of the $\theta$-parameter estimation of the $S (\cdot)$ function (drift coefficient), where it is unknown, by observations of diffusion processes. The method of minimal distance estimation, which allows to construct consistency and asymptotic normality to the estimation of parameter of drift coefficient when $\varepsilon\to 0)$, is discussed.

UDC: 519.6

Received: 08.12.1989
Accepted: 15.07.1991



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