Admissibility of the likelihood ratio test when the parameter space is restricted under the alternative

Econometrica

Volumn 64, Issue 3, 1996, Pages 705-718

  Andrews, Donald W K ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

ADMISSIBILITY; GAUSSIAN DISTRIBUTION; HYPOTHESIS TEST; LIKELIHOOD RATIO TEST; LINEAR MODEL; NON LINEAR MODEL; REGRESSION MODEL;

STATISTICAL TESTS;

EID: 0030355583     PISSN: 00129682     EISSN: None     Source Type: Journal    
DOI: 10.2307/2171868     Document Type: Article

References (22)

1. ANDREWS, D. W. K. (1994a): "Hypothesis Testing with a Restricted Parameter Space," Cowles Foundation Discussion Paper No. 1060R, Yale University.
2. _ (1994b): "The Large Sample Correspondence between Classical Hypothesis Tests and Bayesian Posterior Odds Tests," Econometrica, 62, 1207-1232.
3. ANDREWS, D. W. K., AND W. PLOBERGER (1995): "Admissibility of the Likelihood Ratio Test When a Nuisance Parameter Is Present Only under the Alternative," Annals of Statistics, 23, forthcoming.
4. BERGER, R. L. (1989): "Uniformly More Powerful Tests for Hypotheses Concerning Linear Inequalities and Normal Means," Journal of the American Statistical Association, 84, 192-199.
5. BERGER, R. L., AND D. F. SINCLAIR (1984): "Testing Hypotheses Concerning Unions of Linear Subspaces," Journal of the American Statistical Association, 79, 158-163.
6. CHERNOFF, H. (1954): "On the Distribution of the Likelihood Ratio," Annals of Mathematical Statistics, 54, 573-578.
7. GOURIEROUX, C., AND A. MONFORT (1989): Statistique et Modeles Econometriques, Vol. 2. Paris: Economica.
8. GOURIEROUX, C., A. HOLLY, AND A. MONFORT (1980): "Kuhn-Tucker, Likelihood Ratio and Wald Tests for Nonlinear Models with Inequality Constraints on the Parameters," Harvard Institute of Economic Research Discussion Paper No. 770, Harvard University.
9. _ (1982): "Likelihood Ratio Test, Wald Test, and Kuhn-Tucker Test in Linear Models with Inequality Constraints on the Regression Parameters," Econometrica, 50, 63-80.
10. HALL, P., AND C. C. HEYDE (1980): Martingale Limit Theory and its Application. New York: Academic Press.
11. KING, M. L., AND M. D. SMITH (1986): "Joint One-sided Tests of Linear Regression Coefficients," Journal of Econometrics, 32, 367-383.
12. PERLMAN, M. D. (1969): "One-sided Problems in Multivariate Analysis," Annals of Mathematical Statistics, 40, 549-567; corrections in Annals of Mathematical Statistics, 42, 1777.
13. ROBERTSON, T., AND E, J. WEGMAN (1978): "Likelihood Ratio Tests for Order Restrictions in Exponential Families," Annals of Statistics, 6, 485-505.
14. ROBERTSON, T., F. T. WRIGHT, AND R. L. DYKSTRA (1988): Order Restricted Statistical Inference. New York: Wiley.
15. SACKROWITZ, H. B., AND W. E. STRAWDERMAN (1974): "On the Admissibility of the MLE for Ordered Binomial Parameters," Annals of Statistics, 2, 822-828.
16. SHAPIRO, A. (1988): "Towards a Unified Theory of Inequality Constrained Testing in Multivariate Analysis," International Statistical Review, 56, 49-62.
17. WALD, A. (1942): "On the Power Function of the Analysis of Variance Test," Annals of Mathematical Statistics, 13, 434-439.
18. _ (1943): "Tests of Statistical Hypotheses Concerning Several Parameters When the Number of Observations Is Large," Transactions of the American Mathematical Society, 54, 426-482.
19. WARRACK, G., AND T. ROBERTSON (1984): "A Likelihood Ratio Test Regarding Two Nested But Oblique Order-restricted Hypotheses, Journal of the American Statistical Association, 79, 881-886.
20. WOLAK, F. A. (1987): "An Exact Test for Multiple Inequality and Equality Constraints in the Linear Regression Model," Journal of the American Statistical Association, 82, 782-793.
21. _ (1989a): "Local and Global Testing of Linear and Nonlinear Inequality Constraints in Nonlinear Econometric Models," Econometric Theory, 5, 1-35.
22. _ (1989b): "Testing Inequality Constraints in Linear Econometric Models," Journal of Econometrics, 41, 205-235.