Lower percentage points of Hartley's extremal quotient statistic and their applications

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Title:	Lower percentage points of Hartley's extremal quotient statistic and their applications
Authors:	Bau, J. J.;Chen, H. J.;陳順益;Chen, Shun-yi
Contributors:	淡江大學數學學系
Keywords:	variance of normal distribution;least favorable configuration;interval hypothesis;confidence bound;rejection region
Date:	1997-04-01
Issue Date:	2010-01-28
Publisher:	Taylor & Francis
Abstract:	Consider K(>2) independent populations π1,..,π k such that observations obtained from π k are independent and normally distributed with unknown mean µ i and unknown variance θ i i = 1,…,k. In this paper, we provide lower percentage points of Hartley's extremal quotient statistic for testing an interval hypothesisH 0 θ [k] θ [k] > δ vs. H a : θ [k] θ [1] ≤ δ , where δ ≥ 1 is a predetermined constant and θ [k](θ [1]) is the max (min) of the θi,…,θ k . The least favorable configuration (LFC) for the test under H 0 is determined in order to obtain the lower percentage points. These percentage points can also be used to construct an upper confidence bound for θ[k]/θ[1].
Relation:	Communications in Statistics: Simulation and Computation 26(2), pp.443-465
DOI:	10.1080/03610919708813390
Appears in Collections:	[Graduate Institute & Department of Mathematics] Journal Article

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