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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

  • O'qishlar soni 84
  • Nashr sanasi 05-04-2025
  • Asosiy tilIngliz
  • Sahifalar167-171
English

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

Muallifning F.I.Sh. Lavozimi Tashkilot nomi
1 Mamatov K.M. ! University of Public Safety of the Republic of Uzbekistan
Havola nomi
1 1.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.21-29.2.Liptser R.Sh., Shiryaev A.N. Martingale Theory. Moscow. Nauka. 1986. -512 p.
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