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
- Brzezniak, Z., Van Neerven, J.M.A.M., Stochastic convolution in separable Banach spaces and the stochastic linear Cauchy problem, Studia Math., 143(1) (2000), 43-74.
- Criens, D., Cylindrical martingale problems associated with Levy generators, J. Theoret. Probab., 32(3) (2019), 1306–1359. https://doi.org/10.48550/arXiv.1706.06049
- 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
- Emery, M., Une Topologie Sur Lespace Des Semimartingales, Sem. Probab. XIII. Univ. Strasbourg, 260–280, Lecture Notes in Math. 721, Springer, 1979.
- Fonseca-Mora, C.A., Semimartingales on duals of nuclear spaces, Electron. J. Probab., 25(36) (2020). https://doi.org10.1214/20-EJP444
- 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
- Jacod, J., Shiryaev, A.N., Limit Theorems for Stochastic Processes, Springer, 2003.
- 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
Authors
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
