Geodesic
General scheme of maxima of sums of independent random variables and its applications
Matematičeskie zametki, Tome 77 (2005) no. 4, pp. 544-550.

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A general scheme of maxima of sums of independent random variables is introduced. We prove a theorem on the convergence of the maxima in probability. We study its applications to large jumps in random walks and to extrema of shot-noise fields in the case of regularly varying tails. Nondegenerate limiting laws are obtained. 
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A. V. Lebedev. General scheme of maxima of sums of independent random variables and its applications. Matematičeskie zametki, Tome 77 (2005) no. 4, pp. 544-550. http://geodesic.mathdoc.fr/item/MZM_2005_77_4_a7/

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