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Communications in Statistics - Theory and Methods Volume 15, 1986 - Issue 8
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Original Articles

Two stage fixed width confidence intervals for the common location parameter of several exponential distributins

M. C. Costanza Department of Mathematics and Statistics, The University of Vermont, Burlington, Vermont, 05405
,
H. I. Hamdy Department of Mathematics and Statistics, The University of Vermont, Burlington, Vermont, 05405
&
M. S. Son Department of Mathematics and Statistics, The University of Vermont, Burlington, Vermont, 05405
Pages 2305-2322 | Received 01 Jan 1986, Published online: 27 Jun 2007
 
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Abstract

Two stage sampling schemes are introduced for use in estimating the common location parameter (guarantee time) of two or more exponential distributions with a confidence interval of prespecified width whose coverage probability is at least a given nominal value. Exact expressions for all moments of order r ≥ 1 of the associated two stage sample sizes and for the actual coverage probabilities are derived. The performance of the procedures in a variety of two population, moderate fixed sample size cases is examined via numerical studies involving both exact calculations and Monte Carlo simulations. No new tables are needed to implement any of the proposed methods. A modified two stage procedure is recommended for practical use

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