24
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

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

, &
Pages 805-815 | Received 10 Apr 2008, Published online: 30 Nov 2011

References

  • Arnold , J. C. and Katti , S. K. 1972 . An application of the Rao-Blackwell Theorem in preliminary test estimators . Journal of Multivariate Analysis , 2 : 236 – 238 .
  • Bancroft , T. A. 1944 . On biases in estimation due to the use of preliminary tests of significance . Annals of Mathematical Statistics , 15 : 190 – 204 .
  • Bancroft , T. A. 1964 . Analysis and inference for incompletely specified models involving the use of preliminary tests of significance . Biometrics , 20 : 427 – 442 .
  • Bock , M. E. , Yancey , T. A. and Judge , G. G. 1973 . The statistical consequences of preliminary test estimators in regression . Journal of the American Statistical Association , 68 : 109 – 116 .
  • Chen , J. and Gupta , A. K. 1995 . Likelihood Procedures for testing change points hypothesis for Multivariate Gaussian Model . Random Operators and Stochastic Equations , 3 ( 3 ) : 235 – 244 .
  • Chen , J. and Gupta , A. K. 1997 . Testing and locating variance change points with application to stock prices . Journal of the American Statistical Association , 92 : 739 – 747 .
  • Choy , J. H. Chin and Broemeling , L. D. 1980 . Some Bayesian inferences for a changing linear model . Technometrics , 22 : 71 – 78 .
  • Fair , R. C. and Jaffee , D. M. 1972 . Methods of estimation for markets in disequilibrium . Econometrica , 40 : 497 – 514 .
  • Ghosh , M. and Sinha , B. K. 1988 . Empirical and hierarchical Bayes competitors of preliminary test estimators in two sample problems . Journal of Multivariate Analysis , 27 : 206 – 227 .
  • Giles , D. E. and Srivastava , V. K. 1993 . The exact distribution of a least squares regression coefficient estimator after a preliminary t-test . Statistics and Probability Letters , 16 : 59 – 64 .
  • Goldfield , S. M. and Quandt , R. E. 1973 . The estimation of structural shifts by switching regressions . Annals of Economics and Social Measurement , 2 : 475 – 485 .
  • Han , C. P. 1978 . Nonnegative and preliminary test estimators of variance components . Journal of American Statistical Association , 73 : 855 – 858 .
  • Han , C. P. , Rao , C. V. and Ravichandran . 1988 . Inference based on conditional specification: A second bibliography . Communications in Statistics , A 17 : 1945 – 1964 .
  • Holbert , D. 1982 . A Bayesian analysis of a switching linear model . Journal of Econometrics , 19 : 77 – 87 .
  • Huntsberger , D. V. 1954 . A generalization of a preliminary testing procedure for pooling data . Journal of American Statistical Association , 49 : 734 – 744 .
  • Kanbur , S. and Ngeow , C. 2004 . Period-color and amplitude color relations in classical Cepheid variables . Monthly Notices of the Royal Astronomical Society , 350 : 962 – 970 .
  • Ngeow , C. , Kanbur , S. , Nikolaev , S. , Buonaccorsi , J. , Cook , K. and Welch , D. 2005 . Extending the evidence for the non-linearity of the period-luminosity relation as seen in the large Magellanic Cloud Cepheids from the optical to near infra-red . Monthly Notices of the Royal Astronomical Society , 363 : 831 – 846 .
  • Ngeow , C. and Kanbur , S. M. 2006 . Nonlinear period-luminosity relations for the large magellanic cloud Cepheids: Myths and truths . Astrophysical Journal , 650 : 180 – 188 .
  • Pandey , B. N. 1997 . Testimator of the scale parameter of the exponential distribution using linex loss function . Communications in Statistics - Theory and Methods , 26 : 2191 – 2202 .
  • Paul , A. E. 1950 . On a preliminary test for pooling mean squares in the analysis of variance . Annals of Mathematical Statistics , 21 : 539 – 556 .
  • Quandt , R. E. 1960 . Tests of the hypothesis that a linear regression system obeys two separate regimes . Journal of the American Statistical Association , 55 : 324 – 330 .
  • Sandage , A. , Tammann , G. A. and Reindl , B. 2004 . New period-luminosity and period-color relations of classical Cepheids II: Cepheids in LMC . Astronomy and Astrophysics , 424 : 43 – 71 .
  • Schwarz , G. 1978 . Estimating the dimension of a mode . Annals of Statistics , 6 : 461 – 464 .
  • Sen , A. K. and Srivastava , M. S. 1973 . On multivariate tests for detecting change in the mean . Sankhya A , 35 : 173 – 186 .
  • Srivastava , M. S. and Worseley , K. J. 1986 . Likelihood ratio tests for a change in the multivariate normal mean . Journal of the American Statistical Association , 81 : 199 – 204 .
  • Tammann , G. A. and Reindl , B. 2002 . GAIA and the Extra-galactic distance scale . Astrophysics and Space Science , 280 : 165 – 182 .
  • Waikar , V. B. , Ratnaparkhi , M. V. and Schuurmann , F. J. Improving the efficiency of the two-stage shrinkage estimators using the bootstrap methods . Proceedings of the International Conference on Monto Carlo and Quasi Monto Carlo Methods . Hong Kong : Springer Verlag .
  • Waikar , V. B. , Schuurmann , F. J. and Raghunathan , T. E. 1984 . On a two-stage shrinkage testimator of the mean of a normal distribution . Communications in Statistics - Theory and Methods , 13 : 1901 – 1913 .
  • Yancey , T. A. , Judge , G. G. and Bohrer , R. 1989 . Sampling performance of some joint one-sided preliminary test estimators under squared error loss . Econometrica , 57 : 1221 – 1228 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.