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math.PR2026
Second--order renewal asymptotics in the finite--variance regularly varying regime
Azam Imomov, Shakhzod Rizaqulov
We develop a refined asymptotic theory for renewal processes with regularly varying inter-arrival distributions in the finite-variance regime. Assuming that wit…
math.PR2026
Enhanced Asymptotic Analysis of Continuous-Time Markov Branching Systems: Revisiting Limiting Structural Theorems
Azam A Imomov, Sarvar B. Iskandarov, Jakhongir B. Azimov +1
Markov branching systems form a fundamental class of stochastic models that are extensively applied in biology, physics, finance, and other domains. These systems are distinguished…
math.PR2024
On estimation of the convergence rate to invariant measures in markov branching processes with possibly infinite variance and allowing immigration
Azam Imomov
The paper discusses the continuous-time Markov Branching Process allowing Immigration. We are considering a critical case for which the second moment of offspring law and the first…