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On testing the coefficient of variation in an inverse Gaussian population

Author

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  • Chaubey, Yogendra P.
  • Sen, Debaraj
  • Saha, Krishna K.

Abstract

Here we prove that the LR test for one sided hypotheses concerning the coefficient of variation in an inverse Gaussian family is the UMP invariant test under scale transformation. Some approximations to the CDF of the test statistic are investigated.

Suggested Citation

  • Chaubey, Yogendra P. & Sen, Debaraj & Saha, Krishna K., 2014. "On testing the coefficient of variation in an inverse Gaussian population," Statistics & Probability Letters, Elsevier, vol. 90(C), pages 121-128.
    • Handle: RePEc:eee:stapro:v:90:y:2014:i:c:p:121-128
    DOI: 10.1016/j.spl.2014.03.023
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    Cited by:

    1. Yogendra P. Chaubey & Murari Singh & Debaraj Sen, 2017. "Symmetrizing and Variance Stabilizing Transformations of Sample Coefficient of Variation from Inverse Gaussian Distribution," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 79(2), pages 217-246, November.
    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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