Nonparametric Test for Umbrella Alternatives with the Known Peak on Ranked-Set Samples

  • Kim, Dong-Hee (Department of Statistics, (Research Institute of Computer, Information and Communication), Pusan National University) ;
  • Kim, Kyung-Hee (Department of Statistics, Pusan National University) ;
  • Kim, Hyun-Gee (Department of Statistics, Pusan National University)
  • Published : 2001.08.01

Abstract

In this paper, we propose the test statistic for the umbrella alternatives on c-samples ranked set samples(RSS), where the peak of the umbrella is known. We obtain the asymptotic property of the proposed test statistic and the asymptotic relative efficiencies of the proposed test statistic with respect to U-statistic based on simple random samples(SRS). From the simulation work, we compare the empirical powers of the proposed test statistic with U-statistic based on SRS.

Keywords

References

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