Geodesic
Stability estimates of generalized geometric sums and their applications
Kybernetika, Tome 40 (2004) no. 2, p. [257].

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The upper bounds of the uniform distance $\rho \left(\sum ^\nu _{k=1}X_k,\sum ^\nu _{k=1}\tilde{X}_k\right)$ between two sums of a random number $\nu $ of independent random variables are given. The application of these bounds is illustrated by stability (continuity) estimating in models in queueing and risk theory.
Classification : 60E15, 60G50, 91B30
Keywords: geometric sum; upper bound for the uniform distance; stability; risk process; ruin probability 
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     author = {Gordienko, Evgueni},
     title = {Stability estimates of generalized geometric sums and their applications},
     journal = {Kybernetika},
     pages = {[257]},
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     number = {2},
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     zbl = {1249.91040},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2004__40_2_a6/}
}
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Gordienko, Evgueni. Stability estimates of generalized geometric sums and their applications. Kybernetika, Tome 40 (2004) no. 2, p. [257]. http://geodesic.mathdoc.fr/item/KYB_2004__40_2_a6/