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math.PR2016
General Central Limit Theorems for Associated Sequences
Harouna Sangaré, Gane Samb Lo
In this paper, we provide general central limit theorems (CLT's) for associated random variables (rv's) following the approaches used by Newman (1980) and Olivera et al.(2012). Giv…
math.PR2016
Invariance principles for random sums of random variables
Gane Samb Lo
This note investigates invariance principles for sums of N(nt) iid radom variables, where n is an integer, t is a positive real number and N(u) is a stochastic process with nonnega…
math.PR2016
Weak Convergence (IA). Sequences of Random Vectors
Gane Samb Lo, Modou Ngom, Tchilabalo Atozou Kpanzou
(English) This monograph aims at presenting the core weak convergence theory for sequences of random vectors with values in . In some places, a more general formulati…