Abstract:
A family of extrema having form
$$
Y_{mn}=\max_{1\le i \le m}\sum_{j=1}^n X_{ij},\qquad m,n\ge1,
$$
is considered, here
the random variables $\{X_{ij}\}$, $i\ge1$, $j\ge1$, are dependent
by columns (with identical $j$) and independent by rows (with different $j$).
The asymptotics of $Y_{mn}$ for $m,n\to\infty$ is studied.
Three particular cases are considered: a normal distribution, a
Laplace distribution, and an $\alpha$-stable distribution.
Key words:maxima, random sums, $\alpha$-stable distribution, Frechet distribution.
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