WEAK CONVERGENCE OF STOCHASTIC INTEGRALS OVER POINT PROCESSES IN SPACE D

Mualliflar

  • Khusniddin Mamatov University of Public Safety of the Republic of Uzbekistan Muallif

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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

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