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Combining inferences on the common mean of several inverse Gaussian distributions based on confidence distribution

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  • Liu, Xuhua
  • Li, Na
  • Hu, Yuqin

Abstract

In this paper, a new kind of confidence intervals for the common mean of several inverse Gaussian populations are constructed based on a combined confidence distribution. The simulation results demonstrate that the new method is very satisfactory.

Suggested Citation

  • Liu, Xuhua & Li, Na & Hu, Yuqin, 2015. "Combining inferences on the common mean of several inverse Gaussian distributions based on confidence distribution," Statistics & Probability Letters, Elsevier, vol. 105(C), pages 136-142.
    • Handle: RePEc:eee:stapro:v:105:y:2015:i:c:p:136-142
    DOI: 10.1016/j.spl.2015.06.016
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    References listed on IDEAS

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    1. Dungang Liu & Regina Y. Liu & Min-ge Xie, 2014. "Exact Meta-Analysis Approach for Discrete Data and its Application to 2 × 2 Tables With Rare Events," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 109(508), pages 1450-1465, December.
    2. Ye, Ren-Dao & Ma, Tie-Feng & Wang, Song-Gui, 2010. "Inferences on the common mean of several inverse Gaussian populations," Computational Statistics & Data Analysis, Elsevier, vol. 54(4), pages 906-915, April.
    3. Tian, Lili, 2006. "Testing equality of inverse Gaussian means under heterogeneity, based on generalized test variable," Computational Statistics & Data Analysis, Elsevier, vol. 51(2), pages 1156-1162, November.
    4. Govind Mudholkar & Rajeshwari Natarajan, 2002. "The Inverse Gaussian Models: Analogues of Symmetry, Skewness and Kurtosis," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 54(1), pages 138-154, March.
    5. Shi, Jian-Hong & Lv, Jiang-Long, 2012. "A new generalized p-value for testing equality of inverse Gaussian means under heterogeneity," Statistics & Probability Letters, Elsevier, vol. 82(1), pages 96-102.
    6. Min-ge Xie & Kesar Singh, 2013. "Confidence Distribution, the Frequentist Distribution Estimator of a Parameter: A Review," International Statistical Review, International Statistical Institute, vol. 81(1), pages 3-39, April.
    7. Dungang Liu & Regina Y. Liu & Minge Xie, 2015. "Multivariate Meta-Analysis of Heterogeneous Studies Using Only Summary Statistics: Efficiency and Robustness," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 110(509), pages 326-340, March.
    8. Tore Schweder & Nils Lid Hjort, 2002. "Confidence and Likelihood," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 29(2), pages 309-332, June.
    9. Xie, Minge & Singh, Kesar & Strawderman, William E., 2011. "Confidence Distributions and a Unifying Framework for Meta-Analysis," Journal of the American Statistical Association, American Statistical Association, vol. 106(493), pages 320-333.
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    2. Mohammad Reza Kazemi & Ali Akbar Jafari, 2019. "Inference about the shape parameters of several inverse Gaussian distributions: testing equality and confidence interval for a common value," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 82(5), pages 529-545, July.

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