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math.PR2026
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…
math.PR2026
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…