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RSS in Other Parameteric and Non-parametric Inference

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Advanced Sampling Methods

Abstract

In Chap. 19, the method of RSS for estimating the population mean of the distribution has been discussed. The theory of RSS has been extended in this chapter to estimate location and scale parameters of distributions, population proportion, and quantiles. The original concept (McIntyre 1952) of RSS is completely non-parametric in nature and assumed that the population distribution is not known beforehand, therefore, the concept of RSS to estimate location, scale, and quantiles of the distributions is helpful. The application of RSS has also been attempted for the non-parametric inference. Some non-parametric tests based on one sample and two samples are discussed.

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References

  • Bhoj, D.S.: Estimation of parameters of the extreme value distribution using ranked set sampling. Commun. Stat. Theory Methods 26(3), 653–667 (1997)

    Google Scholar 

  • Bhoj, D.S., Ahsanullah, M.: Estimation of parameters of the generalized geometric distributions using ranked set sampling. Biometrics 52, 685–694 (1996)

    Article  Google Scholar 

  • Bohn, L.L.: A ranked-set sample signed-rank statistic. Technical report no. 426, Department of Statistics, The University of Florida, Gainevesville, Florida (1994)

    Google Scholar 

  • Bohn, L.L., Wolfe, D.A.: Nonparametric two-sample procedures for ranked set samples data. J. Am. Stat. Assoc. 87(418), 552–561 (1992)

    Google Scholar 

  • Chandra, G., Tiwari, N.: Estimation of location and scale parameters of lognormal distribution using ranked set sampling. J. Stat. Appl. 7(3–4), 139–152 (2012)

    Google Scholar 

  • Chandra, G., Tiwari, N., Nautiyal, R., Gupta, D.S.: On partial ranked set sampling in parameter estimation of lognormal distribution. Int. J. Stat. Agric. Sci. 12(2), 321–326 (2016)

    Google Scholar 

  • Chen, Z.: The optimal ranked set sampling scheme for inference on population quantiles. Stat. Sin. 11, 23–37 (2001)

    Google Scholar 

  • Chen, H., Stasny, E.A., Wolfe, D.A.: Ranked set sampling for efficient estimation of a population proportion. Stat. Med. 24, 3319–3329 (2005)

    Google Scholar 

  • Chen, H., Stasny, E.A., Wolfe, D.A.: Unbalanced ranked set sampling for estimating a population proportion. Biometrics 62, 150–158 (2006)

    Article  MathSciNet  Google Scholar 

  • Downton, F.: Least-square estimates using ordered observations. Ann. Math. Stat. 25, 303–316 (1954)

    Google Scholar 

  • Harter, H.L., Balakrishnan, N.: CRC Handbook of Tables for the Use of Order Statistics in Estimation. CRC Press, Boca Raton (1996)

    Google Scholar 

  • Koti, K.M., Babu, G.J.: Sign test for ranked-set sampling. Commun. Stat. Theory Methods 25, 1617–1630 (1996)

    Google Scholar 

  • Lam, K., Sinha, B.K., Wu, Z.: Estimation of parameters in a two parameter exponential distribution using ranked set sample. Ann. Inst. Stat. Math. 46, 723–736 (1994)

    Google Scholar 

  • Lloyd, E.H.: Least square estimation of location and scale parameters using order statistics. Biometrika 39, 88–95 (1952)

    Article  MathSciNet  Google Scholar 

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

    Google Scholar 

  • Ozturk, O.: Parametric estimation of location and scale parameters in ranked set sampling. Fuel Energy Abstr. 141(4), 1616–1622 (2011)

    Google Scholar 

  • Ozturk, O., Wolfe, D.A.: Alternative ranked set sampling protocols for sign test. Stat. Probab. Lett. 47, 15–23 (2000)

    Google Scholar 

  • Sinha, B.K., Sinha, B.K., Purakayastha, S.: On some aspects of ranked set sampling for estimation of normal and exponential parameters. Stat. Decis. 14, 223–240 (1996)

    Google Scholar 

  • Stokes, S.L., Sager, T.W.: Characterization of a ranked set sample with application to estimating distribution functions. J. Am. Stat. Assoc. 83, 374–381 (1988)

    Google Scholar 

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

    Google Scholar 

  • Yousef, O.M., Al-Subh, S.A.: Estimation of Gumbel parameters under ranked set sampling. J. Mod. Appl. Stat. Methods 13(2), 432–443 (2014)

    Google Scholar 

  • Zhu, M., Wang, Y.: Quantile estimation from ranked set sampling data. Sankhya Indian J. Stat. 67(2), 295–304 (2005)

    Google Scholar 

Download references

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Correspondence to Raosaheb Latpate .

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Latpate, R., Kshirsagar, J., Kumar Gupta, V., Chandra, G. (2021). RSS in Other Parameteric and Non-parametric Inference. In: Advanced Sampling Methods. Springer, Singapore. https://doi.org/10.1007/978-981-16-0622-9_20

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