On perturbations of Stein operator

@article{Kumar2016OnPO,
title={On perturbations of Stein operator},
author={A. N. Kumar and N. S. Upadhye},
journal={Communications in Statistics - Theory and Methods},
year={2016},
volume={46},
pages={9284 - 9302}
}
• Published 2016
• Mathematics
• Communications in Statistics - Theory and Methods
ABSTRACT In this article, we obtain a Stein operator for the sum of n independent random variables (rvs) which is shown as the perturbation of the negative binomial (NB) operator. Comparing the operator with NB operator, we derive the error bounds for total variation distance by matching parameters. Also, three-parameter 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… Expand
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