2 papers
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…