A k-stage sequential sampling procedure for estimation of normal mean


Liu, Wei (1997) A k-stage sequential sampling procedure for estimation of normal mean. Journal of Statistical Planning and Inference, 65, (1), 109-127. (doi:10.1016/S0378-3758(97)00048-7).

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Description/Abstract

We study a k-stage > sequential estimation procedure which includes the three-stage procedure of Hall (1981) as a special case. With a suitable value of k, the k-stage procedure not only can be as efficient as the fully sequential procedure of Anscombe, Chow and Robbins in terms of sample size, but also requires at most k sampling operations. For the problem of constructing a fixed width confidence interval for the mean of a normal population with unknown variance, the three-stage procedure of Hall always needs a few more observations than the fully sequential procedure. The five-stage procedure, however, requires almost the same number of observations as the fully sequential procedure

Item Type: Article
ISSNs: 0378-3758 (print)
Related URLs:
Keywords: confidence intervals, normal distribution, sequential methods
Subjects: Q Science > QA Mathematics
H Social Sciences > HA Statistics
Divisions: University Structure - Pre August 2011 > School of Mathematics > Statistics
ePrint ID: 30089
Date Deposited: 20 Mar 2007
Last Modified: 27 Mar 2014 18:18
URI: http://eprints.soton.ac.uk/id/eprint/30089

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