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Structure of densities of measures corresponding to stochastic processes

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Literature cited

  1. B. Grigelionis, “Absolute continuity of measures corresponding to random processes,” Litovsk. Matem. Sb.,11, No. 4, 783–794 (1971).

    Google Scholar 

  2. B. Grigelionis, “Stochastic equations of nonlinear filtering of random processes,” Litovsk. Matem. Sb.,12, No. 4 (1972).

  3. M. P. Ershov, “Functionals of random processes defined by stochastic integrals,” Candidate's dissertation, Moscow (1970).

  4. T. Kailath, “The structure of Radon-Nikodym derivatives with respect to Wiener and related measures,” Ann. Math. Statist.,42, No. 3, 1054–1067 (1971).

    Google Scholar 

  5. P. Sh. Liptser and A. N. Shiryaev, “Absolute continuity of measures corresponding to diffusion processes with respect to Wiener's measure,” Izv. Akad. Nauk SSSR, Ser. Mat., 36 (1972).

  6. D. W. Stroock and S. R. S. Varadhan, “Diffusion processes with continuous coefficients, I,” Commun. on Pure and Appl. Math.,22, No. 3, 345–400 (1969).

    Google Scholar 

  7. C. Doléans-Dade, C. Dellacherie, and P. A. Meyer, “Diffusions a coefficients continues (d'apres D. W. Stroock et S. R. S. Varadhan),” Séminaire de Probabilités, Lecture Notes in Math., 124 (1970).

  8. H. Kunita and S. Watanabe, “On square integrable martingales,” Nagoya Math. J.,30, 209–245 (1967).

    Google Scholar 

  9. P. A. Meyer, “Intégrales stochastiques,” Séminaire de Probabilités. I, Lecture Notes in Math.,39 (1967).

  10. B. Grigelionis, “Representation of integer random measures in the form of stochastic integrals with respect to Poisson's measure,” Litovsk. Matem. Sb.,11, No. 1, 93–108 (1971).

    Google Scholar 

  11. N. V. Krylov, “On Ito's stochastic integral equations,” Teor. Veroyatn. i Ee Primen.,14, No. 2, 340–348 (1969).

    Google Scholar 

  12. E. D. Conway, “Stochastic equations with discontinuous drift,” Trans. Amer. Math. Soc., 157, No. 1, 235–245 (1971).

    Google Scholar 

  13. T. Yamada and S. Watanabe, “On the uniqueness of solution of stochastic equations,” J. Math. Kyoto Univ.,2, No. 1, 155–167 (1971).

    Google Scholar 

  14. I. I. Gikhman and A. V. Skorokhod, Stochastic Differential Equations [in Russian], Naukova Dumka, Kiev (1968).

    Google Scholar 

  15. A. V. Skorokhod, Random Processes with Independent Increments [in Russian], Nauka, Moscow (1964).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Physics and Mathematics, Academy of Sciences of the Lithuanian SSR, Lithuanian SSR

    B. Grigelionis

  2. V. Kapsukas Vilnius State University, USSR

    B. Grigelionis

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  1. B. Grigelionis
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Translated from Litovskii Matematicheskii Sbornik, Vol. 13, No. 1, pp. 71–78, January–March, 1973.

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Grigelionis, B. Structure of densities of measures corresponding to stochastic processes. Lith Math J 13, 48–52 (1973). https://doi.org/10.1007/BF01540073

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  • DOI: https://doi.org/10.1007/BF01540073

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