Geodesic
On the Limit Distribution of the First Jump
Teoriâ veroâtnostej i ee primeneniâ, Tome 5 (1960) no. 4, pp. 469-472

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Formulas are obtained for the limit distribution of the first jump over the level t when $t\to\infty$ for a sequence of identically distributed independent random variables with positive means. The cases of lattice as well as non-lattice distributions are discussed; the method of factorization [2] is used. 
@article{TVP_1960_5_4_a10,
     author = {I. N. Kovalenko},
     title = {On the {Limit} {Distribution} of the {First} {Jump}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {469--472},
     publisher = {mathdoc},
     volume = {5},
     number = {4},
     year = {1960},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1960_5_4_a10/}
}
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I. N. Kovalenko. On the Limit Distribution of the First Jump. Teoriâ veroâtnostej i ee primeneniâ, Tome 5 (1960) no. 4, pp. 469-472. http://geodesic.mathdoc.fr/item/TVP_1960_5_4_a10/