On Perturbations of Stein Operator
Probability
2020-07-16 v1
Abstract
In this paper, we obtain Stein operator for sum of independent random variables (rvs) which is shown as perturbation of negative binomial (NB) operator. Comparing the operator with NB operator, we derive the error bounds for total variation distance by matching parameters. Also, three parameters approximation for such a sum is considered and is shown to improve the existing bounds in the literature. Finally, an application of our results to a function of waiting time for -events is given.
Keywords
Cite
@article{arxiv.1603.07464,
title = {On Perturbations of Stein Operator},
author = {A. N. Kumar and N. S. Upadhye},
journal= {arXiv preprint arXiv:1603.07464},
year = {2020}
}