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Comparison Between Dependent and Independent Ranked Set Sampling Designs for Parametric Estimation with Applications

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Abstract

This paper is concerned with the estimation problem using maximum likelihood method of estimation for the unknown parameters of exponetiated gumbel distribution based on neoteric ranked set sampling (NRSS) as a new modification of the usual ranked set sampling (RSS) technique. Numerical study is conducted to compare NRSS as a dependent ranked set sampling technique, with RSS, and median ranked set sampling as independent sampling techniques, and then the performance of RSS and its modifications will be compared with simple random sampling based on their mean square errors and efficiencies.

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References

  1. Al-Saleh MF, Al-Hadrami SA (2003) Parametric estimation for the location parameter for symmetric distributions using moving extremes ranked set samplingwith application to trees data. Environmetrics 14:651–664

    Article  Google Scholar 

  2. Al-Saleh MF, Al-Omari AI (2002) Multistage ranked set sampling. J Stat Plan Inference 102:273–286

    Article  Google Scholar 

  3. Al-Saleh MF, Al-Shrafat K (2001) Estimation of average milk yield using ranked set sampling. Environmetrics 44:367–382

    Google Scholar 

  4. Dell TR, Clutter JL (1972) Ranked set sampling theory with order statistics background. Biometrics 28:545–555

    Article  Google Scholar 

  5. Gupta RC, Gupta PL, Gupta RD (1998) Modeling failure time data by Lehman alternatives. Commun Stat Theory Methods 27:887–904

    Article  Google Scholar 

  6. Husby CE, Stasny EA, Wolfe DA (2005) An application of ranked set sampling for mean and median estimation using USDA crop production data. J Agric Biol Environ Stat 10(3):354–373

    Article  Google Scholar 

  7. Jabbari HK, Ravandeh SM (2016) Comparison of parameter estimation in the exponentiated gumbel distribution based on ranked set sampling and simple random sampling. J Math Stat Sci, 490–497

  8. Kotz S, Nadarajah S (2000) Extreme value distributions: theory and applications. Imperial College Press, London

    Book  Google Scholar 

  9. McIntyre GA (1952) A method for unbiased selective sampling, using ranked sets. Aust J Agric Res 3:385–390

    Article  Google Scholar 

  10. Muttlak HA (1997) Median ranked set sampling. J Appl Stat Sci 6:245–255

    Google Scholar 

  11. Nadarajah S (2006) The exponentiated gumbel distribution with climate application. Environmetrics 17(1):13–23

    Article  Google Scholar 

  12. Patil GP (1995) Editorial: ranked set sampling. Environ Ecol Stat 2:271–285

    Article  Google Scholar 

  13. Sabry MA, Shaaban M (2020) A dependent ranked set sampling designs for estimation of distribution parameters with applications. Ann Data Sci. https://doi.org/10.1007/s40745-020-00247-3

    Article  Google Scholar 

  14. Sabry MA, Muhammed HZ, Nabih A, Shaaban M (2019) Parameter estimation for the power generalized Weibull distribution based on one- and two-stage ranked set sampling designs. J Stat Appl Probab 8(2019):113–128

    Google Scholar 

  15. Samawi HM (2011) Varied set size ranked set sampling with applications to mean and ratio estimation. Int J Model Simul 31:6–13

    Google Scholar 

  16. Sinha BK, Purkayastha S (1996) On some aspects of ranked set sampling for estimation of normal and exponential parameters. Stat Decis 14:223–240

    Google Scholar 

  17. Stokes SL, Sager TW (1988) Characterization of a RSS with application to estimating distribution functions. J Am Stat Assoc 83:374–381

    Article  Google Scholar 

  18. Takahasi K, Wakimoto K (1968) On unbiased estimates of the population mean based on the sample stratified by means of ordering. Ann Inst Stat Math 20:1–31

    Article  Google Scholar 

  19. Wang Y-G, Ye Y, Milton DA (2009) Efficient designs for sampling and sub sampling in fisheries research based on ranked sets. J Mar Sci 66:928–934

    Google Scholar 

  20. Yu PLH, Lam K (1997) Regression estimator in ranked set sampling. Biometrics 53:1070–1080

    Article  Google Scholar 

  21. Zamanzade E, Al-Omari AI (2016) New ranked set sampling for estimating the population mean and variance. J Math Stat 45(6):1891–1905

    Google Scholar 

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Authors and Affiliations

  1. The High Institute for Tourism Hotels and Computer, El-Seyouf, Alexandria, Egypt

    M. Shaaban

  2. Modern Academy for Computer Science and Management Technology, Cairo, Egypt

    M. Yahya

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  1. M. Shaaban
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  2. M. Yahya
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Correspondence to M. Shaaban.

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Shaaban, M., Yahya, M. Comparison Between Dependent and Independent Ranked Set Sampling Designs for Parametric Estimation with Applications. Ann. Data. Sci. 10, 167–182 (2023). https://doi.org/10.1007/s40745-020-00302-z

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  • DOI: https://doi.org/10.1007/s40745-020-00302-z

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