noninformative priors and bayesian testing for the ar(1) model

Econometric Theory

Volumn 10, Issue 3-4, 1994, Pages 461-482

  Berger, James O ^a   Yang, Ruo Yong ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84974326063     PISSN: 02664666     EISSN: 14694360     Source Type: Journal    
DOI: 10.1017/S026646660000863X     Document Type: Article

References (31)

1. Anderson T.W. On asymptotic distributions of estimates of parameters of stochastic difference equations. Annals of Mathematical Statistics 30 (1959): 676–687.
2. Bayes T.R. Essay towards solving a problem in the doctrine of chances (1763). Reprinted in Biometrika 45 (1958): 243–315.
3. Berger J.O. Statistical Decision Theory and Bayesian Analysis. New York: Springer-Verlag, 1985.
4. Berger J. & Bernardo J.M. Estimating a product of means: Bayesian analysis with reference priors. Journal of American Statistical Association 84 (1989): 200–207.
5. Berger J. & Bernardo J.M. Reference priors in a variance components problem. In Goel P. & Iyengar N.S. (eds.), Bayesian Analysis in Statistics and Econometrics. New York: Springer-Verlag, 1992.
6. Berger J. & Bernardo J.M. Ordered group reference priors with application to a multi-nomial problem. Biometrika 79 (1992): 25–37.
7. Berger J. & Bernardo J.M. On the development of the reference prior method. In Bernardo J.M., Berger J.O., Lindley D.V. & Smith A.F.M. (eds.), Bayesian Statistics 4. London: Oxford University Press, 1992.
8. Berger J., Bernardo J.M. & Mendoza M. On priors that maximize expected information. In Klein J.P. & Lee J.C. (eds.), Recent Developments in Statistics and Their Applications. Seoul: Freedom Academy Publishing, 1989.
9. Berger J. & Sellke T. Testing of a point null hypothesis: The irreconcilability of significance levels and evidence (with discussion). Journal of American Statistical Association 82 (1987): 112–139.
10. Berger J. & Delampady M. Testing precise hypotheses. Statistical Science 2 (1987): 317–352.
11. Berger J. & Berry D. Analyzing data: Its objectivity possible. American Scientist 76 (1988): 159–165.
12. Bernardo J.M. Reference posterior distributions for Bayes inference. Journal of Royal Statistical Society B 41 (1979): 113–147.
13. Box G.E.P. & Jenkins G.M. Time Series Analysis: Forecasting and Control. San Francisco: Holden Day, 1976.
14. Casella G. & Berger R. Reconciling Bayesian and frequentist evidence in the one-sided testing problem. Journal of American Statistical Association 82 (1987): 106–111.
15. Jeffreys H. Theory of Probability. London: Oxford University Press, [1937] 1961.
16. Laplace P. Mémoire sur la probabilityé des causes par les évenemens Mem. Acad. R. Sci. Presentés par Divers Savans 6 (1774): 621–656 (translated in Statistical Science 1 [1986]: 359–378).
17. Laplace P. Theorie Analytique des Probabilites. Paris: Courcier, 1812.
18. Mitchell A. Discussion of paper by Good I.J. Journal of Royal Statistical Society B 29 (1967): 423–424.
19. Lindley D.V. On a measure of the information provided by an experiment. Annals of Mathematical Statistics 27 (1956): 986–1005.
20. Monette G., Fraser D.A.S. & Ng K.W. Marginalization, likelihood, and structural models. In Krishnaiah P.R. (ed.), Multivariate Analysis VI. Amsterdam: North-Holland, 1984.
21. Phillips P.C.B. To criticize the critics: An objective Bayesian analysis of stochastic trends. Journal of Applied Econometrics 6 (1991): 333–364.
22. Rubin H. Consistency of maximum likelihood estimates in the explosive case. In Koopmans T.C. (ed.), Statistical Inference in Dynamic Economic Models, pp. 356–364. New York: Wiley, 1950.
23. Schotman P.C. & Van Dijk H.K. On Bayesian routes to unit roots. Journal of Applied Econometrics 6 (1991): 387–401.
24. Stein C. Approximation of improper prior measures by prior probability measures. In Bernoulli–Bayes–Laplace Festschrift, pp. 217–240. New York: Springer-Verlag, 1965.
25. Uhlig H. What macroeconomists should know about unit roots: A Bayesian perspective. Econometric Theory (1994): 645–671.
26. Welch B.L. & Peers H.W. On formulae for confidence points based on intervals of weighted likelihoods. Journal of Royal Statistical Society B 25 (1963): 318–329.
27. White J.S. The limiting distribution of the serial correlation coefficient in the explosive case. Annals of Mathematical Statistics 29 (1958): 1188–1197.
28. Ye K.Y. & Berger J. Noninformative priors for inference in exponential regression models. Biometrika 78 (1991): 645–656.
29. Zellner A. An Introduction to Bayesian Inference in Econometrics. New York: Wiley, 1971.
30. Zellner A. Maximal data information prior distributions. In Aykac A. (ed.), New Methods in the Application of Bayesian Methods. Amsterdam: North-Holland, 1977.
31. Zellner A. & Siow A. Posterior odds for selected regression hypotheses. In Bernardo J.M., DeGroot M.H., Lindley D.V. & Smith A.F.M. (eds.), Bayesian Statistics. Valencia: University Press, 1980.