Applications of basu’s theorem

American Statistician

Volumn 52, Issue 3, 1998, Pages 218-221

  Boos, Dennis D ^a   Hughes Oliver, Jacqueline M ^a  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

Ancillary statistic; Behrens Fisher problem; Complete family; Monte Carlo swindle; Pivotal quantity; Sufficient statistic

Indexed keywords

EID: 0542397644     PISSN: 00031305     EISSN: 15372731     Source Type: Journal    
DOI: 10.1080/00031305.1998.10480566     Document Type: Article

References (14)

1. Basu, D. (1955), “On Statistics Independent of a Complete Sufficic Statistic,” Sankhya, 15, 377-380.
2. Basu, D. (1958), “On Statistics Independent of Sufficient Statistic Sankhya, 20, 223-226.
3. Basu, D. (1964), “Recovery of Ancillary Information,” Sankhya, Ser. A, 3-16.
4. Basu, D. (1982), “Basu Theorems,” in The Encyclopedia of Statistical Sences, eds. N. L. Johnson and S. Kotz, 1, pp. 193-196.
5. Bhattacharyya, G. K., Johnson, R. A., and Mehrotra, K. G. (1977), the Completeness of Minimal Sufficient Statistics with Censored Obs vations,” The Annals of Statistics, 5, 547-553.
6. Casella, G., and Berger, L. R. (1990), Statistical Inference, Pacific Gro CA: Wadsworth &Brooks/Cole.
7. Cox, D. R. (1988), “Some Aspects of Conditional and Asymptotic Inf ence,” Sankhya, Series A, 30, 314-337.
8. Johnstone, I. M., and Velleman, P. F. (1985), “Efficient Scores, Variat Decompositions, and Monte Carlo Swindles,” Journal of The Amerk Statistical Association, 80, 851-862.
9. Lehmann, E. L. (1981), “An Interpretation of Completeness and Bas Theorem,” Journal of The American Statistical Association, 76, 3: 340.
10. Lehmann, E. L. (1983), Theory of Point Estimation, New York: Wiley.
11. Lehmann, E. L. (1986), Testing Statistical Hypotheses, New York: Wiley.
12. Liang, K. Y. (1985), “Odds Ratio Inference with Dependent Dal Biometrika, 72, 678-682.
13. Wang, Y. Y. (1971), “Probabilities of the Type I Errors of the Welch Te for the Behrens-Fisher Problem,” Journal of the American Statisti Association, 66, 605-608.
14. Zhang, J., and Boos, D. D. (1997), “Mantel-Haenszel Test Statistics Correlated Binary Data,” Biometrics, 53, 1185-1198.