English

Improved Sequential Stopping Rule for Monte Carlo Simulation

Computation 2008-09-25 v1

Abstract

This paper presents an improved result on the negative-binomial Monte Carlo technique analyzed in a previous paper for the estimation of an unknown probability p. Specifically, the confidence level associated to a relative interval [p/\mu_2, p\mu_1], with \mu_1, \mu_2 > 1, is proved to exceed its asymptotic value for a broader range of intervals than that given in the referred paper, and for any value of p. This extends the applicability of the estimator, relaxing the conditions that guarantee a given confidence level.

Keywords

Cite

@article{arxiv.0809.4047,
  title  = {Improved Sequential Stopping Rule for Monte Carlo Simulation},
  author = {Luis Mendo and Jose M. Hernando},
  journal= {arXiv preprint arXiv:0809.4047},
  year   = {2008}
}

Comments

2 figures. Paper accepted in IEEE Transactions on Communications

R2 v1 2026-06-21T11:23:27.400Z