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The efficiency of ranked set sampling for parameter estimation

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  • Barabesi, Lucio
  • El-Sharaawi, Abdel

Abstract

The information matrix based on ranked set sampling (RSS) has been derived and it has been shown to be the sum of two semi-positive matrices, one of which is the information matrix based on simple random sampling (SRS). This decomposition demonstrates that parametric inference based on RSS is generally more efficient than its SRS counterpart.

Suggested Citation

  • Barabesi, Lucio & El-Sharaawi, Abdel, 2001. "The efficiency of ranked set sampling for parameter estimation," Statistics & Probability Letters, Elsevier, vol. 53(2), pages 189-199, June.
    • Handle: RePEc:eee:stapro:v:53:y:2001:i:2:p:189-199
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    References listed on IDEAS

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    1. Sinha Bimal K. & Sinha Bikas K. & Purkayastha Sumitra, 1996. "On Some Aspects Of Ranked Set Sampling For Estimation Of Normal And Exponential Parameters," Statistics & Risk Modeling, De Gruyter, vol. 14(3), pages 223-240, March.
    2. Kim, YongHee & Arnold, Barry C., 1999. "Parameter estimation under generalized ranked set sampling," Statistics & Probability Letters, Elsevier, vol. 42(4), pages 353-360, May.
    3. Kin Lam & Bimal Sinha & Zhong Wu, 1994. "Estimation of parameters in a two-parameter exponential distribution using ranked set sample," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 46(4), pages 723-736, December.
    4. Lynne Stokes, 1995. "Parametric ranked set sampling," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 47(3), pages 465-482, September.
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    Cited by:

    1. Armin Hatefi & Mohammad Jafari Jozani, 2017. "Information content of partially rank-ordered set samples," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 101(2), pages 117-149, April.
    2. Lucio Barabesi & Caterina Pisani, 2002. "Ranked Set Sampling for Replicated Sampling Designs," Biometrics, The International Biometric Society, vol. 58(3), pages 586-592, September.
    3. N. Balakrishnan & M. Brito & A. Quiroz, 2013. "On the goodness-of-fit procedure for normality based on the empirical characteristic function for ranked set sampling data," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 76(2), pages 161-177, February.
    4. Hatefi, Armin & Jafari Jozani, Mohammad, 2013. "Fisher information in different types of perfect and imperfect ranked set samples from finite mixture models," Journal of Multivariate Analysis, Elsevier, vol. 119(C), pages 16-31.
    5. Walid Abu-Dayyeh & Esam Al Sawi, 2009. "Modified inference about the mean of the exponential distribution using moving extreme ranked set sampling," Statistical Papers, Springer, vol. 50(2), pages 249-259, March.
    6. Mohammad Al-Saleh & Said Al-Hadhrami, 2003. "Estimation of the mean of the exponential distribution using moving extremes ranked set sampling," Statistical Papers, Springer, vol. 44(3), pages 367-382, July.
    7. Tahmasebi, Saeid & Jafari, Ali Akbar & Eskandarzadeh, Maryam, 2016. "Some results on residual entropy of ranked set samples," Statistics & Probability Letters, Elsevier, vol. 112(C), pages 137-145.

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