Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Fuzzy Testing of Independence in Bivariate Normal Distribution

2변량 정규분포의 독립성에 관한 퍼지 검정

  • 강만기 (동의대학교 자연과학대학 데이터정보학과) ;
  • 서현아 (동의대학교 대학원 정보통계학과)
  • Received : 2010.10.14
  • Accepted : 2011.11.20
  • Published : 2011.02.25
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Abstract

We furnished some properties of fuzzy testing of independence for correlation in a bivariate normal distribution by agreement index. First we present some restriction of the fuzzy data, define fuzzy sample correlation coefficient and agreement index for testing hypothesis with acceptance or rejection degree. Also, we show that UMP unbiased fuzzy test and drawing conclusions the fuzzy test.

우리는 동의지수법에 의한 이변량정규분포의 변수 간 독립성에 대한 퍼지 상관 검정법을 제안하였다. 이를 위하여 퍼지 데이터의 조건을 제시하고, 퍼지 상관계수와 가설을 기각하고 채택할 정도를 위한 동의지수법을 정의하였다. 또한 예증을 위하여 한 이변량정규분포로부터 퍼지 표본을 추출하여 퍼지 상관계수를 이용한 최강력 불편 퍼지 검정법을 보였다.

Keywords

References

  1. P. X. Gizegorzewski, Testing Hypotheses with Vague Data, Fuzzy Sets and Systems. 112 , pp.501-510, 2000. https://doi.org/10.1016/S0165-0114(98)00061-X
  2. M. K. Kang, C. E. Lee and S. I. Han, Fuzzy Hypotheses Testing for Hybrid Numbers by Agreement Index, Far East Journal of Theoretical Statistics. 10(1), 2003.
  3. M. K. Kang and Y. R. Park, Fuzzy Binomial Proportion Test by Agreement Index, Journal of Korean Institute of Intelligent Systems, Vol 19, Num. 1,pp.19-24, 2009. https://doi.org/10.5391/JKIIS.2009.19.1.019
  4. M. K. Kang and A. H. Seo, Fuzzy Hypothesis Test by Poisson Test for Most powerful Test, Journal of Korean Institute of Intelligent Systems, Vol 19, Num. 6, pp.809-813, 2009. https://doi.org/10.5391/JKIIS.2009.19.6.809
  5. W. Trutschnig, A strong consistency result for fuzzy relative frequencies interpreted as estimator for the fuzzy-value probability, Fuzzy Sets and Systems, 159, pp 259-269, 2008. https://doi.org/10.1016/j.fss.2007.05.017
  6. Z. Xia, Fuzzy Probability System: fuzzy probability space(1), Fuzzy Sets and systems, 120, pp.469-486, 2001. https://doi.org/10.1016/S0165-0114(99)00121-9

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