{ "id": "0809.4047", "version": "v1", "published": "2008-09-23T23:35:02.000Z", "updated": "2008-09-23T23:35:02.000Z", "title": "Improved Sequential Stopping Rule for Monte Carlo Simulation", "authors": [ "Luis Mendo", "Jose M. Hernando" ], "comment": "2 figures. Paper accepted in IEEE Transactions on Communications", "categories": [ "stat.CO" ], "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.", "revisions": [ { "version": "v1", "updated": "2008-09-23T23:35:02.000Z" } ], "analyses": { "keywords": [ "monte carlo simulation", "sequential stopping rule", "confidence level", "negative-binomial monte carlo technique", "broader range" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0809.4047M" } } }