WEAK CONVERGENCE OF STOCHASTIC INTEGRALS OVER POINT PROCESSES IN SPACE D
;
Point process, martingale, stochastic integral, Skorokhod topology, compensator.Abstrak
In this paper, we investigate the weak convergence of stochastic integrals to point processes. For clarity, we refer to several accepted assertions from the general theory of random processes, which are detailed in literature sources; therefore, we present formulations without proofs. Here, we utilize concepts from contemporary martingale theory in continuous time, including stochastic calculus in point processes.
Iqtiboslar
Khamdamov I.M., Mamatov Kh.M., Properties of the Vertex of a Convex Hull Generated by a Poission Point Process Inside a Parabola. Theory of Stochastic Processes, Vol.28(44), No.2, 2024, p.21-29.
Liptser R.Sh., Shiryaev A.N. Martingale Theory. Moscow. Nauka. 1986. - 512 p.
Nashr qilingan
2025-03-31
Nashr
Bo'lim
Articles
Litsenziya
##submission.license.cc.by4.footer##Iqtibos keltirish tartibi
WEAK CONVERGENCE OF STOCHASTIC INTEGRALS OVER POINT PROCESSES IN SPACE D. (2025). Yevroosiyo Akademik Tadqiqotlar Jurnali, 5(3), 167-171. https://in-academy.uz/index.php/EJAR/article/view/6384