Revision of 'Reassessment of a calibration model by Bayesian reference analysis'

作者: Dieter Grientschnig , Ignacio Lira

DOI: 10.1088/0026-1394/49/1/L01

关键词: StatisticsMathematicsBayesian hierarchical modelingInverse-chi-squared distributionPosterior predictive distributionBayesian linear regressionConjugate priorInverse-gamma distributionPrior probabilityPosterior probabilityApplied mathematics

摘要: In a previous paper (2011 Metrologia 48 L7–11) we have calculated reference prior for calibration model where state-of-knowledge distribution of the coefficients function is provided. Observed values response fixed value stimulus are also available. They assumed to conform Gaussian probability unknown standard deviation. The calculation revised here using different sequence subsets parameter space. This choice preferable earlier one with respect properties ensuing posterior. contrast former result leads same posterior as application Supplement 1 'Guide Expression Uncertainty in Measurement'.

参考文章(15)
Brunero Liseo, Bayesian and conditional frequentist analyses of the Fieller's problem. A critical review Metron-International Journal of Statistics. pp. 133- 150 ,(2003)
Robert L. Wolpert, Brunero Liseo, James O. Berger, Integrated likelihood methods for eliminating nuisance parameters Statistical Science. ,vol. 14, pp. 1- 28 ,(1999) , 10.1214/SS/1009211804
LUC DEMORTIER, BAYESIAN REFERENCE ANALYSIS Statistical Problems in Particle Physics, Astrophysics and Cosmology. pp. 11- 14 ,(2006) , 10.1142/9781860948985_0003
R J Dewhurst, Measurement Science and Technology: a historical perspective Measurement Science and Technology. ,vol. 24, pp. 012006- ,(2013) , 10.1088/0957-0233/24/1/012006
Carmen Fernández, Mark F. J. Steel, Reference priors for non-normal two-sample problems Test. ,vol. 7, pp. 179- 205 ,(1998) , 10.1007/BF02565109
ROBERT TIBSHIRANI, Noninformative priors for one parameter of many Biometrika. ,vol. 76, pp. 604- 608 ,(1989) , 10.1093/BIOMET/76.3.604