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A nonparametric estimator of the probability of a long customer delay is obtained from an asymptotic renewal theoretic result giving an exponential approximation to the tail of the virtual waiting time distribution for a stable M\/G\/1 queue. Asymptotic properties of the estimator are obtained. Results of a simulation study of the small sample size behaviour are given.<\/jats:p>","DOI":"10.1111\/j.2517-6161.1988.tb01736.x","type":"journal-article","created":{"date-parts":[[2018,12,7]],"date-time":"2018-12-07T06:49:57Z","timestamp":1544165397000},"page":"392-402","source":"Crossref","is-referenced-by-count":8,"title":["Nonparametric Estimation of the Probability of a Long Delay in the M\/G\/1 Queue"],"prefix":"10.1093","volume":"50","author":[{"given":"D. P.","family":"Gaver","sequence":"first","affiliation":[{"name":"Naval Postgraduate School , Monterey , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"P. 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