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A SEMI-MARKOV–HAWKES APPROACH TO MANAGING THE MECHANISM OF A SELF-ORGANIZING TRADING SYSTEM

Ulmas AbdullaevKarakalpakstan Branch of the Academy of Sciences of Uzbekistan, Research Institute of Natural SciencesX JaksilikovaKarakalpakstan Branch of the Academy of Sciences of Uzbekistan, Research Institute of Natural Sciences
Nashrlarjournal2026tr
ABI

Abstract

This paper proposes an integrated approach based on Semi-Markov and Hawkes processes to model the internal mechanisms of a self-organizing trading system. Traditional market microstructure models typically analyze either the irregularity of inter-trade durations or the mutual excitation effects between trades. In this study, to more accurately capture real market dynamics, a unified probabilistic framework incorporates stochastic inter-trade durations, clustering of trading intensity, daily trading patterns, trade volume, and location factors.

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