Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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On the Study for the Simultaneous Test

  • Park, Hyo-Il (Department of Statistics, Chongju University)
  • Received : 2012.10.22
  • Accepted : 2013.05.29
  • Published : 2013.07.31
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Abstract

In this study, we propose a nonparametric simultaneous test procedure for the location translation and scale parameters. We consider the Wilcoxon rank sum test for the location translation parameter and the Mood test for the scale parameter with the quadratic and maximal types of combining functions. Then we derive the limiting null distributions of the combining functions. We illustrate our procedure with an example and compare efficiency by obtaining the empirical powers through a simulation study. Finally, we discuss some interesting features related to the nonparametric simultaneous tests.

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References

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  1. Simultaneous Test for the Mean and Variance With an Application to the Statistical Process Control vol.9, pp.4, 2015, https://doi.org/10.1080/15598608.2015.1034387
  2. A Simultaneous Test Procedure vol.21, pp.1, 2014, https://doi.org/10.5351/CSAM.2014.21.1.011