Geodesic
Probabilistic properties of Zipf sets and their maximal intersections
Teoriâ veroâtnostej i ee primeneniâ, Tome 68 (2023) no. 1, pp. 21-37

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In the article, the weak and strong laws of large numbers are obtained for various characteristics of a generalized Zipf set. Based on these results, we investigate the maximal intersection size between a random Zipf set and the elements of a large base of independent random sets of the same type but, eventually, with different parameters. This question is significant for applications.
Keywords: laws of large numbers, maximal intersections, Zipf sets, random sets. 
@article{TVP_2023_68_1_a1,
     author = {M. A. Lifshits and I. M. Lialinov},
     title = {Probabilistic properties of {Zipf} sets and their maximal intersections},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {21--37},
     publisher = {mathdoc},
     volume = {68},
     number = {1},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2023_68_1_a1/}
}
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M. A. Lifshits; I. M. Lialinov. Probabilistic properties of Zipf sets and their maximal intersections. Teoriâ veroâtnostej i ee primeneniâ, Tome 68 (2023) no. 1, pp. 21-37. http://geodesic.mathdoc.fr/item/TVP_2023_68_1_a1/