Geodesic
On distribution of sums of random variables with invariant links and their modeling
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 5, pp. 628-636.

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A general form of distribution of a sum of a finite number of absolutely continuous random variables is obtained, examples of constructing and modeling sequences with averaged links (with invariant links) are considered based on the distribution of the sum of these random variables.
Keywords: sequences of random variables, sum of a finite number of random variables, sum of dependent random variables, distribution of sums of absolutely continuous random variables. 
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Sergey V. Chebotarev. On distribution of sums of random variables with invariant links and their modeling. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 5, pp. 628-636. http://geodesic.mathdoc.fr/item/JSFU_2019_12_5_a11/

[1] S.V. Chebotarev, “On the equivalence of finite sums of random variables”, Vestnik BGPU, series: natural and exact sciences, 4 (2004), 108–116 (in Russian)

[2] S.V. Chebotarev, “About limit distribution of sums of random variables”, Journal of Siberian Federal University. Mathematics $\$ Physics, 9:1 (2016), 17–29 | DOI

[3] S.V. Chebotarev, “On the limit distribution of sums of real random variables”, Journal of Siberian Federal University. Mathematics $\$ Physics, 10:3 (2017), 310–313 | DOI | MR

[4] S.V. Chebotarev, “About sequences of random variables with averaged relationships”, Vestnik AltSPA, seriya: estestvenye i tochnye nauki, 7 (2011), 28–37 (in Russian)