Thomas G. Barnes III et al. 2005 ApJ 631 572 doi:10.1086/432506
Thomas G. Barnes III1, Jesper Storm2, William H. Jefferys3, Wolfgang P. Gieren4 and Pascal Fouqué5
Show affiliationsWe have compared the results of Bayesian statistical calculations and linear-bisector calculations for obtaining Cepheid distances and radii by the infrared surface brightness method. We analyzed a set of 38 Cepheids using a Bayesian Markov Chain Monte Carlo method that had been recently studied with a linear-bisector method. The distances obtained by the two techniques agree to 1.5% ± 0.6%, with the Bayesian distances being larger. The radii agree to 1.1% ± 0.7%, with the Bayesian determinations again being larger. We interpret this result as demonstrating that the two methods yield the same distances and radii. This implies that the short distance to the Large Magellanic Cloud found in recent linear-bisector studies of Cepheids is not caused by deficiencies in the mathematical treatment. However, the computed uncertainties in distance and radius for our data set are larger in the Bayesian calculation by factors of 1.4-6.7. We give reasons to favor the Bayesian computations of the uncertainties. The larger uncertainties can have a significant impact on interpretation of Cepheid distances and radii obtained from the infrared surface brightness method.
Issue 1 (2005 September 20)
Received 2005 April 18, accepted for publication 2005 June 2
Thomas G. Barnes III et al. 2005 ApJ 631 572
M Sahimi 1987 J. Phys. A: Math. Gen. 20 L1293
R J Senden et al 2006 Phys. Med. Biol. 51 3301
Paul A Blaga and Cristina Blaga 2001 Class. Quantum Grav. 18 3893
Haiping He et al 2003 J. Phys. D: Appl. Phys. 36 2972
T C Ferree and R C Hwa 2005 Phys. Med. Biol. 50 3927
Chun-gang Duan et al 2003 J. Phys.: Condens. Matter 15 3805
Margaret Meixner et al. 1999 ApJS 122 221
Ryutaroh Matsumoto 2003 J. Phys. A: Math. Gen. 36 8113
Paul K Townsend and Mattias N R Wohlfarth 2004 Class. Quantum Grav. 21 5375