Geodesic
Random sum Limit Theorems for Nonidentically Distributed Random Variables
Publications de l'Institut Mathématique, _N_S_47 (1990) no. 61, p. 141 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Two limit theorems for sums with random indices are proved, one related to triangular arrays, the other to normed sums. No conditions concerning moments are imposed.
Classification : 60F05
Keywords: Triangular array, normed sums, u.a.n. condition, infinitely divisible distributions, stochastic boundedness, regularly varying sequence 
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     author = {Slobodanka Jankovi\'c},
     title = {Random sum {Limit} {Theorems} for {Nonidentically} {Distributed} {Random} {Variables}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {141 },
     publisher = {mathdoc},
     volume = {_N_S_47},
     number = {61},
     year = {1990},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1990_N_S_47_61_a20/}
}
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Slobodanka Janković. Random sum Limit Theorems for Nonidentically Distributed Random Variables. Publications de l'Institut Mathématique, _N_S_47 (1990) no. 61, p. 141 . http://geodesic.mathdoc.fr/item/PIM_1990_N_S_47_61_a20/