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The Combining Confidence Distribution Method to the Behrens-Fisher Problem
School of Science, Shanghai University, Shanghai, China
School of Science, Shanghai University, Shanghai, China
- 1 School of Science, Shanghai University, Shanghai, China
- 2 School of Science, Shanghai University, Shanghai, China
Advances in Pure Mathematics·Volume 06 (2016)·Pages 532–536·Published 5 July 2016·DOI10.4236/apm.2016.68041
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Abstract
Based on the Confidence Distribution method to the Behrens-Fisher problem, we consider two approaches of combining Confidence Distributions: P Combination and AN Combination to solve the Behrens-Fisher problem. Firstly, we provide some Confidence Distributions to the Behrens- Fisher problem, and then we give the Confidence Distribution method to the Behrens-Fisher problem. Finally, we compare the “combination” and the “single” through the numerical simulation.
KeywordsBehrens-Fisher ProblemCombining Confidence DistributionInterval Estimation Component
- Xu, J.Q. (2011) The Generalized Confidence Interval of the Behrens-Fisher Problem. Statistics and Decision, 2, 29-30.
- Xie, M.G. and Singh, K. (2013) Confidence Distribution, the Frequentist Distribution Estimator of a Parameter: A Review. International Statistical Review, 81, 3-39.
- Schweder, T. and Hjort, N.L. (2002) Confidence and Likelihood. Scandinavian Journal of Statistics, 29, 309-332. http://dx.doi.org/10.1111/1467-9469.00285
- Singh, K., Xie, M. and Strawderman, W.E. (2005) Combining Information from Independent Sources through Confidence Distributions. Annals of Statistics, 33, 159-183. http://dx.doi.org/10.1214/009053604000001084
- Singh, K., Xie, M. and Strawderman, W.E. (2007) Confidence Distribution (CD)-Distribution Estimator of a Parameter. In Complex Datasets and Inverse Problems. IMS Lecture Notes-Monograph Series, 54, 132-150. http://dx.doi.org/10.1214/074921707000000102
- Tao, W.Y. and Ye, W.Z. (2016) The Confidence Distribution Method to the Behrens-Fisher Problem. Journal of Applied Mathematics and Physics, 4, 286-293. http://dx.doi.org/10.4236/jamp.2016.42036
- Singh, K., Xie, M. and Strawderman, W.E. (2005) Combining Information from Independent Sources through Confidence Distributions. Annals of Statistics, 33, 159-183. http://dx.doi.org/10.1214/009053604000001084
- Singh, K., Xie, M. and Strawderman, W. (2001) Confidence Distributions—Concept, Theory and Applications. Technical Report, Department of Statistics, Rutgers University, New Jersey.