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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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
|Digital Object Identifier (DOI):||doi:10.1016/S0378-3758(97)00048-7|
|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
|Date Deposited:||20 Mar 2007|
|Last Modified:||31 Mar 2016 11:56|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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