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math.PR2020
Approximations to Weighted Sums of Random Variables
Amit N. Kumar
In this paper, we obtain error bound for binomial and negative binomial approximations to weighted sums of locally dependent random variables, using Stein's method. We also discuss…
math.PR2020
Approximations Related to the Sums of -dependent Random Variables
Amit N. Kumar, Neelesh S. Upadhye, P. Vellaisamy
In this paper, we consider the sums of non-negative integer valued -dependent random variables, and its approximation to the power series distribution. We first discuss some rel…