Research Article

Stochastic integration with respect to a cylindrical special semi-martingale

Volume: 71 Number: 4 December 30, 2022
EN

Stochastic integration with respect to a cylindrical special semi-martingale

Abstract

In this research, we introduce the stochastic integration with respect to a cylindrical special semi-martingale, which is a specific case of general integration, with specific properties of special semi-martingales.

Keywords

References

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  3. Di Girolami, C., Fabbri, G., Russo, F., The covariation for Banach space valued processes and applications, Metrika, 77(1) (2014), 51-104. https://doi.org/10.48550/arXiv.1301.5715
  4. Emery, M., Une Topologie Sur Lespace Des Semimartingales, Sem. Probab. XIII. Univ. Strasbourg, 260–280, Lecture Notes in Math. 721, Springer, 1979.
  5. Fonseca-Mora, C.A., Semimartingales on duals of nuclear spaces, Electron. J. Probab., 25(36) (2020). https://doi.org10.1214/20-EJP444
  6. Hashemi Sababe, S., Yazdi M., Shabani, M.M., Reproducing kernel Hilbert space based on special integrable semimartingales and stochastic integration, Korean J. Math., 29(3) (2021), 639–647. https://doi.org/10.11568/kjm.2021.29.3.639
  7. Jacod, J., Shiryaev, A.N., Limit Theorems for Stochastic Processes, Springer, 2003.
  8. Kalinichenko, A.A., An approach to stochastic integration in general separable Banach spaces, Potential Anal., 50(4) (2019), 591–608. https://doi.org/10.1007/s11118-018-9696-4

Details

Primary Language

English

Subjects

Applied Mathematics

Journal Section

Research Article

Publication Date

December 30, 2022

Submission Date

August 16, 2021

Acceptance Date

April 22, 2022

Published in Issue

Year 1970 Volume: 71 Number: 4

APA
Hashemi Sababe, S. (2022). Stochastic integration with respect to a cylindrical special semi-martingale. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 71(4), 899-906. https://doi.org/10.31801/cfsuasmas.981876
AMA
1.Hashemi Sababe S. Stochastic integration with respect to a cylindrical special semi-martingale. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022;71(4):899-906. doi:10.31801/cfsuasmas.981876
Chicago
Hashemi Sababe, Saeed. 2022. “Stochastic Integration With Respect to a Cylindrical Special Semi-Martingale”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71 (4): 899-906. https://doi.org/10.31801/cfsuasmas.981876.
EndNote
Hashemi Sababe S (December 1, 2022) Stochastic integration with respect to a cylindrical special semi-martingale. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71 4 899–906.
IEEE
[1]S. Hashemi Sababe, “Stochastic integration with respect to a cylindrical special semi-martingale”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 71, no. 4, pp. 899–906, Dec. 2022, doi: 10.31801/cfsuasmas.981876.
ISNAD
Hashemi Sababe, Saeed. “Stochastic Integration With Respect to a Cylindrical Special Semi-Martingale”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71/4 (December 1, 2022): 899-906. https://doi.org/10.31801/cfsuasmas.981876.
JAMA
1.Hashemi Sababe S. Stochastic integration with respect to a cylindrical special semi-martingale. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022;71:899–906.
MLA
Hashemi Sababe, Saeed. “Stochastic Integration With Respect to a Cylindrical Special Semi-Martingale”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 71, no. 4, Dec. 2022, pp. 899-06, doi:10.31801/cfsuasmas.981876.
Vancouver
1.Saeed Hashemi Sababe. Stochastic integration with respect to a cylindrical special semi-martingale. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022 Dec. 1;71(4):899-906. doi:10.31801/cfsuasmas.981876

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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