Communications for Statistical Applications and Methods

  • 제18권1호
  • /
  • Pages.147-153
  • /
  • 2011
  • /
  • 2287-7843(pISSN)
  • /
  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지
DOI QR코드

DOI QR Code

Folded Ranked Set Sampling for Asymmetric Distributions

  • Bani-Mustafa, Ahmed (Prince Sultan College Jeddah, Alfisel University) ;
  • Al-Nasser, Amjad D. (Division of Area Planning & Residents Relations, WRM) ;
  • Aslam, Muhammad (Department of Statistics, Forman Christian College University)
  • 투고 : 20100600
  • 심사 : 20100800
  • 발행 : 2011.01.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper a new sampling procedure for estimating the population mean is introduced. The performance of the new population mean estimator is discussed, along with its properties, and it is shown that the proposed method generates an unbiased estimator. The relative efficiency of the suggested estimator is computed, in regards to the simple random sample(SRS), and comparisons are made to the ranked set sampling(RSS) and extreme ranked set sampling(ERSS) estimators used for asymmetric distributions. The results indicate that the proposed estimator is more efficient than the estimators based on the ERSS. In addition, the folded ranked set sampling(FRSS) procedure has an advantage over the RSS and ERSS in that it reduces the number of unused sampling units.

키워드

참고문헌

  1. Al-Nasser, A. (2007). L ranked set sampling: A generalization procedure for robust visual sampling, Communications in Statistics, 36, 33-43. https://doi.org/10.1080/03610910601096510
  2. AL-Nasser, A. and Bani-Mustafa, A. S. (2009). Robust extreme ranked set sampling, Journal of Statistical Computation and Simulation, 79, 859–867.
  3. Balakrishnan, N. and Cohen, A. (1991). Order Statistics and Inference: Estimation Methods, Academic Press.
  4. Chen, Z., Bai, Z. and Sinha, B. (2004). Ranked Set Sampling: Theory and Applications, Springer, New York.
  5. McIntyre, G. A. (1952). A method of unbiased selective sampling, using ranked sets, Australian Journal of Agricultural Research, 3, 385-390. https://doi.org/10.1071/AR9520385
  6. Muttlak, H. (1997). Median ranked set sampling, Journal of Applied Statistical Sciences, 6, 245-255.
  7. Muttlak, H. (2003). Modified ranked set sampling methods, Pakistan Journal of Statistics, 19, 315-323.
  8. Samawi, H., Ahmed, M. and Abu-Dayyeh, W. (1996). Estimating the population mean using extreme ranked set sampling, Biometrical Journal, 38, 577-586. https://doi.org/10.1002/bimj.4710380506
  9. Sinha, B. and Purkayastha, S. (1996). On some aspects of ranked set sampling for estimation of normal and exponential parameters, Statistics and Decisions, 14, 223-240.

피인용 문헌

  1. Ranked Set Sampling: Its Relevance and Impact on Statistical Inference vol.2012, 2012, https://doi.org/10.5402/2012/568385