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Dependent Ranked Set Sampling Designs for Parametric Estimation with Applications

Author

Listed:
  • M. A. Sabry

    (Cairo University)

  • M. Shaaban

    (The High Institute for Tourism, Hotels and Computer)

Abstract

In this paper, we derive the likelihood function of the neoteric ranked set sampling (NRSS) as dependent in sampling method and double neoteric ranked set sampling (DNRSS) designs as combine between independent sampling method in the first stage and dependent sampling method in the second stage and they compared for the estimation of the parameters of the inverse Weibull (IW) distribution. An intensive simulation has been made to compare the one and the two stages designs. The results showed that likelihood estimation based on ranked set sampling (RSS) as independent sampling method, NRSS and DNRSS designs provide more efficient estimators than the usual simple random sampling design. Moreover, the DNRSS is slightly more efficient than the NRSS and RSS designs in the case of estimating the IW distribution parameters.

Suggested Citation

  • M. A. Sabry & M. Shaaban, 2020. "Dependent Ranked Set Sampling Designs for Parametric Estimation with Applications," Annals of Data Science, Springer, vol. 7(2), pages 357-371, June.
    • Handle: RePEc:spr:aodasc:v:7:y:2020:i:2:d:10.1007_s40745-020-00247-3
    DOI: 10.1007/s40745-020-00247-3
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    Cited by:

    1. Hassan Amal S. & Elshaarawy Rasha S. & Nagy Heba F., 2022. "Parameter estimation of exponentiated exponential distribution under selective ranked set sampling," Statistics in Transition New Series, Polish Statistical Association, vol. 23(4), pages 37-58, December.

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