Limiting Distributions of Sums with Random Spectral Weights

Angel Chavez, Jacob Waldor

This paper studies the asymptotic properties of weighted sums of the form $Z_n={\sum }_{i=1}^n{a}_i{X}_i$, in which $X_1,X_2,\dots ,X_n$ are i.i.d.~random variables and $a_1, a_2, \l…