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Estimation of parameters in a system of stochastic differential equations from discrete observations

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References

  1. V. I. Tikhonov and M. A. Mironov, Markov Processes [in Russian], Sov. Radio, Moscow (1977).

    MATH  Google Scholar 

  2. I. E. Kazakov and D. I. Gladkov, Optimization Methods for Stochastic Systems [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  3. S. M. Zuev, Statistical Estimation for Parameters of Mathematical Models of Diseases [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  4. D. Duffie, Dynamic Asset Pricing Theory, Princeton Univ. Press, Princeton (1992).

    Google Scholar 

  5. S. S. Artem'ev, I. G. Mikhîlichenko, and I. N. Sinitsyn, Statistical Modeling of Forward Finance Operations [in Russian], Vychisl. Tsentr Sibirsk. Otdel. Akad. Nauk SSSR, Novosibirsk (1997).

    Google Scholar 

  6. M. A. Yakunin, “Estimation of parameters of the multivariate Ornstein-Uhlenbeck process” in: the Theory and Applications to Statistical Modeling [in Russian], Vychisl. Tsentr Sibirsk. Otdel. Akad. Nauk SSSR, Novosibirsk, 1988, pp. 124–134.

    Google Scholar 

  7. S. S. Artemiev and M. A. Yakunin, “Estimation of the parameters in stochastic differential equations”, Russ. J. Numer. Anal. Math. Modelling,12, No. 1, 1–12 (1997).

    Article  MATH  MathSciNet  Google Scholar 

  8. A. A. Borovkov, Mathematical Statistics. Estimation of Parameters. Test of Hypotheses [in Russian], Nauka, Moscow (1984).

    MATH  Google Scholar 

  9. T. W. Anderson and I. Olkin, “Maximum-likelihood estimation of the parameters of a multivariate normal distribution”, in: Linear Algebra and Its Applications, 1985, No. 70, pp. 147–171.

  10. Kh. D. Ikramov, Numerical Solution of Matrix Equations [in Russian], Nauka, Moscow (1984).

    MATH  Google Scholar 

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Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 40, No. 5, pp. 987–993, September–October, 1999.

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Artem'ev, S.S., Yakunin, M.A. Estimation of parameters in a system of stochastic differential equations from discrete observations. Sib Math J 40, 828–833 (1999). https://doi.org/10.1007/BF02674712

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  • DOI: https://doi.org/10.1007/BF02674712

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