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Communications in Statistics - Simulation and Computation Volume 30, 2001 - Issue 1
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Original Articles

A NOTE ON A SEQUENTIAL METHOD FOR ESTIMATING THE MINIMUM OF A RANDOM VARIABLE

G. Bruce Schaalje Department of Statistics, Brigham Young University, 230 TMCB, Provo, UT, 84602, U.S.A.Correspondence[email protected]
,
Matthew R. Johnson
&
Chris H. Bodily Department of Statistics, North Carolina State University, 2700 Stinson Drive, Campus Box 8203, 110 Cox Hall, Raleigh, NC, 27695-8203, U.S.A.
Pages 91-98 | Received 01 Oct 1999, Published online: 17 Aug 2006
 
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Abstract

A sequential method of estimating the minimum of a random variable achieves the desired level of confidence only for interval widths that are large relative to the density of the distribution at or near the minimum. A modification of the procedure is suggested.

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