We consider samples of n geometric random variables ω₁ ω₂ · · · ωn where 𝕡 {ωj = i} = pqi-1, for 1 ≤ j ≤ n, with p + q = 1. For each fixed integer d > 0, we study the probability that the distance ...

The paper deals with the rate of convergence for distributions of randomly normalized geometric random sums φ ( v p ) ∑ j=1 v p X j to symmetric stable laws in term of Zolotarev’s probability metric.