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math.PR2011
Tail behavior of solutions of linear recursions on trees
Mariana Olvera-Cravioto
Consider the linear nonhomogeneous fixed point equation R =_d sum_{i=1}^N C_i R_i + Q, where (Q,N,C_1,...,C_N) is a random vector with N in{0,1,2,3,...}U{infty}, {C_i}_{i=1}^N >= 0…
math.PR2011
Asymptotics for Weighted Random Sums
Mariana Olvera-Cravioto
Let be a sequence of independent identically distributed random variables with an intermediate regularly varying (IR) right tail . Let be a…