Estimating Parameters of Diffusion Process with Unreachable Boundary

Verfasser / Beitragende:
[I. Kozhevnikova, R. Suleymanova]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 205/1(2015-02-01), 74-84
Format:
Artikel (online)
ID: 605521670
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024 7 0 |a 10.1007/s10958-015-2231-x  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2231-x 
245 0 0 |a Estimating Parameters of Diffusion Process with Unreachable Boundary  |h [Elektronische Daten]  |c [I. Kozhevnikova, R. Suleymanova] 
520 3 |a In the present paper we consider methods of estimating unknown parameters in diffusion-type models for continuous and discrete observations. It is assumed that the estimated parameters enter the model linearly. For continuously observed processes the maximum likelihood method is used. For diffusion processes, which are observed discretely and are described by stochastic differential equations, martingale methods of parameter estimations are developed based on the likelihood function approximation. Consistent and asymptotically normal parameter estimates are obtained. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Kozhevnikova  |D I.  |u Lomonosov Moscow State University, Moscow, Russia  |4 aut 
700 1 |a Suleymanova  |D R.  |u Institute of Mathematics and Mechanics of the National Academy of Azerbaidjan, Baku, Azerbaidjan  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 205/1(2015-02-01), 74-84  |x 1072-3374  |q 205:1<74  |1 2015  |2 205  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2231-x  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2231-x  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Kozhevnikova  |D I.  |u Lomonosov Moscow State University, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Suleymanova  |D R.  |u Institute of Mathematics and Mechanics of the National Academy of Azerbaidjan, Baku, Azerbaidjan  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 205/1(2015-02-01), 74-84  |x 1072-3374  |q 205:1<74  |1 2015  |2 205  |o 10958