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Journal of Statistical Theory and Practice Volume 3, 2009 - Issue 4
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Original Articles

On the near Equivalence of the Testimation and Schwarz Information Criterion (SIC) to Study Cepheid Period-Luminosity Relation

S. M. Kanbur Department of Physics, State University of New York at Oswego, Oswego, NY, 13126, USA
,
A. Nanthakumar Department of Mathematics, State University of New York at Oswego, Oswego, NY, 13126, USA
&
C. Ngeow Department of Astronomy, University of Illinois, Urbana, IL, 61801, USA
Pages 805-815 | Received 10 Apr 2008, Published online: 30 Nov 2011
 
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Abstract

In this paper, we show the near numerical equivalence of the Testimation and Schwarz Information criterion to check whether the LMC-Cepheid-PL relation has a change point in the slope. The advantage of the testimation method is that the variance of the estimated slope with this technique is smaller than the variance of the slope estimates from the least-square regression. Both the testimation and the Schwarz Information Criterion support previous results reporting a change point in the LMC-PL relation.

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