Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Fuzzy Hypothesis Test by Poisson Test for Most Powerful Test

최강력 검정을 위한 퍼지 포아송 가설의 검정

  • Kang, Man-Ki (Dept. of Data Information Science, Dong-Eui University) ;
  • Seo, Hyun-A (Dept. of Information Statistics, Graduate School, Dong-Eui University)
  • Received : 2009.09.10
  • Accepted : 2009.11.30
  • Published : 2009.12.25
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Abstract

We want to show that the construct of best fuzzy tests for certain fuzzy situations of Poisson distribution. Due to Neyman and Pearson theorem, if we have ${\theta}_0$ and ${\theta}_1$ be distinct fuzzy values of ${\Omega}=\{{\theta}\;:\;{\theta}\;=\;{\theta}_0,\;{\theta}_1\}$ such that $L({\theta}_0\;:\;X)/L({\theta}_1\;:\;X)$ < k, then k is a fuzzy number. For each fuzzy random samples point $X\;{\subset}\;C$, we have most power test for fuzzy critical region C by agreement index.

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References

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