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On asymptotic behaviors and convergence rates related to weak limiting distributions of geometric random sums

Tran Loc HungPhan Tri KienNguyen Tan Nhut — 2019


Geometric random sums arise in various applied problems like physics, biology, economics, risk processes, stochastic finance, queuing theory, reliability models, regenerative models, etc. Their asymptotic behaviors with convergence rates become a big subject of interest. The main purpose of this paper is to study the asymptotic behaviors of normalized geometric random sums of independent and identically distributed random variables via Gnedenko's Transfer Theorem. Moreover, using the Zolotarev probability...

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