5 citations · 7 across the 7 of their papers we have counts for
8 papers
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…
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…
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…
On explicit form of the Kolmogorov constant in the theory of Galton-Watson Branching Processes
Azam Imomov, Misliddin Murtazaev
The paper considers the well-known Galton-Watson stochastic branching process. We are dealing with a non-critical case. In the subcritical case, when the mean of the direct descend…
On structural parameter estimation of the Markov Q-process
Azam Imomov, Zukhriddin Nazarov
In the paper we consider a stochastic model which called Markov Q-processes that forms a continuous-time Markov population system. Markov Q-processes are defined as stochastic Mark…
On conditioned limit structure of the Markov branching process without finite second moment
Azam Imomov
Consider the continuous-time Markov Branching Process. In critical case we consider a situation when the generating function of intensity of transformation of particles has the inf…
On asymptotic structure of continuous-time Markov Branching Processes allowing Immigration and without high-order moments
Azam A. Imomov, Abror Kh. Meyliev
We observe the continuous-time Markov Branching Process without high-order moments and allowing Immigration. Limit properties of transition functions and their convergence to invar…
Renewed Limit Theorems for the discrete-time Branching Process and its Conditioned Limiting Law interpretation
Azam A. Imomov
Our principal aim is to observe the Markov discrete-time process of population growth with long-living trajectory. First we study asymptotical decay of generating function of Galto…