2 citations · 2 across the 5 of their papers we have counts for
6 papers
A weak invariance principle for triangular arrays of independent random variables in some Besov spaces
Davide Giraudo, Sadillo Sharipov
We establish a Donsker-Prokhorov invariance principle in some Besov spaces. Specifically, we show that polygonal line processes associated with partial sum processes of a triangula…
Diffusion approximation of a sequence of critical branching processes with dependent immigration
Sadillo Sharipov
This paper aims to investigate a diffusion approximation of a sequence of critical branching processes with strictly stationary and ergodic immigration. Under fairly general assump…
Strong law of large numbers for random walks in weakly dependent random scenery
Sadillo Sharipov
In this brief note, we study the strong law of large numbers for random walks in random scenery. Under the assumptions that the random scenery is non-stationary and satisfies weakl…
Lower deviations for branching processes with immigration
Sadillo Sharipov, Vitali Wachtel
Let , be a critical branching process with immigration having finite variance for the offspring number of particles and finite mean for the immigrating number…
On limit theorems for functional autoregressive processes with random coefficients
Sadillo Sharipov
In this paper, we consider a Banach space valued random coefficient autoregressive process. Our studies on this process involve existence, weak law of large numbers, strong law of…
On functional limit theorems for branching processes with dependent immigration
Sadillo Sharipov
In this paper we consider a triangular array of branching processes with non-stationary immigration. We prove a weak convergence of properly normalized branching processes with imm…