EWMA control chart for Katz family of distributions

카즈분포족에 대한 지수가중이동평균관리도

  • Cho, Gyo-Young (Department of Statistics, Kyungpook National University)
  • Received : 2010.05.08
  • Accepted : 2010.06.05
  • Published : 2010.07.31

Abstract

In statistical process control, the primary method used to monitor the number of nonconformities is the c-chart. The conventional c-chart is based on the assumption that the occurrence of nonconformities in samples is well modeled by a Poisson distribution. When the Poisson assumption is not met, the X-chart is often used as an alternative charting scheme in practice. And EWMA control chart is used when it is desirable to detect out-of-control situations very quickly because of sensitive to a small or gradual drift in the process.

통계적 공정관리에서 결점수를 모니터링 하는데는 c-관리도가 사용된다. 전통적인 c-관리도는 표본에서 결점의 발생은 포아송분포를 따른다는 가정 하에서 만들어진다. 포아송 분포에 대한 가정이 맞지 않을 때에는 X-관리도가 사용될 수 있다. 지수가중이동평균관리도는 공정의 작은 변화를 찾는 데 유용한 것으로 알려져 있다. 본 논문에서는 다양한 카즈분포족으로부터 생성된 계수자료에 대하여 3시그마 X-관리도와 지수가중이동평균관리도의 효율을 평균 런의 길이에 근거하여 비교한다. 즉, 자료가 어떤 분포로부터 생성되었는지 알 수 없을 때, X-관리도와 지수가중이동평균관리도를 비교하는 것이다.

Keywords

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