On Discrete Gibbs Measure Approximation to Runs
Probability
2020-07-16 v2
Abstract
A Stein operator for the runs is derived as a perturbation of an operator for discrete Gibbs measure. Due to this fact, using perturbation technique, the approximation results for runs arising from identical and non-identical Bernoulli trials are derived via Stein method. The bounds obtained are new and their importance is demonstrated through an interesting application.
Keywords
Cite
@article{arxiv.1701.03294,
title = {On Discrete Gibbs Measure Approximation to Runs},
author = {Amit N Kumar and Neelesh S Upadhye},
journal= {arXiv preprint arXiv:1701.03294},
year = {2020}
}
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31 pages