Dvziugas Chvoinikov

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math.PR2026

Asymptotic formulas for products of Poisson distributions

Džiugas Chvoinikov, Jonas Šiaulys

In this paper, we study the asymptotic behaviour of the product tail probability $P (ξ_{1} \dots ξ_{N} ⩾ n),$ where ${ξ_{1}, \dots, ξ_{N}}$ is a finite collection of inde…

math.PR2026

Right-tail asymptotics for products of independent normal random variables

Džiugas Chvoinikov, Jonas Šiaulys

Let $X_{1}, \dots, X_{n}$ be independent normal random variables with $X_{i} \sim N (μ_{i}, σ_{i}^{2})$ , and set $Z = \prod_{i = 1}^{n} X_{i}$ . We derive asymptotic approximations for the right tail probab…