응용통계연구 (The Korean Journal of Applied Statistics)

  • 제7권1호
  • /
  • Pages.159-172
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  • 1994
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  • 1225-066X(pISSN)
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  • 2383-5818(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

신종발견확률의 경험적 베이지안 추정에 관한 연구

Empirical Bayes Estimation of the Probability of Discovering a New Species

  • Joo Ho Lee (Department of Statistics, Chungnam National University, Taejon 305-764, Korea)
  • 발행 : 1994.02.01
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⟨ 이전 논문 다음 논문 ⟩

초록

여러개의 종으로 구성된 모집단으로부터 일정 크기의 표본을 추출한 경우 다음에 관측된 종이 신종일 확률에 대한 추정량으로 가장 널리 사용되어 온 것은 Good의 추정량이다. 본 논문에서는 종의 총 수효에 관한 사전정보가 존재할 경우 Good의 추정량에 대한 대안으로서 새로운 경험적 베이지안 추정량을 제안하였다. 모집단이 절단 기하분포를 따를 경우의 소표본 시뮬레이션 결과는 새로운 추정량의 편의가 별로 크지 않으며 RMSE가 Good의 추정량보다 작음을 보여 주었다.

An empirical Bayes estimator of the probability of discovering a new species is proposed when some prior information is available on the number f species. The new estimator is shown via simulations to have only a moderate bias and a smaller RMSE than Good's estimator when the species population follows a truncated geometric distribution.

키워드

참고문헌

  1. Handbook of Mathematical Functions Abramowitz,M.;Stegun,I.
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  9. IMSL STAT/LIBRARY User`s Manual
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  11. Unpublished Ph.D. Thesis, Department of Statistics, University of Wisconsin On Asymptotics for the NPMLE of the Probability of Discovering a New Species and an Adaptive Stopping Rule in Two-Stage Searches Lee,J.
  12. The Korea Journal of Applied Statistics v.6 On Asymptotics for s Bias-Corrected Version of the NPMLE of the Probability of Dicovering a New Species Lee,J.
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