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Ratio Method to the Mean Estimation Using Coefficient of Skewness of Auxiliary Variable

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Information Computing and Applications (ICICA 2010)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 106))

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Abstract

This paper proposes some ratio-type estimators for population mean using known skewness coefficient of auxiliary variable. Theoretically, the expressions of mean square error(MSE) up to first order of approximation for all proposed ratio estimators are obtained. The efficiency between the proposed estimators and some known estimators is compared. The results are supported by an application with original data.

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References

  1. Abd-Elfattah, A.M., EI-Sherpieny, E.A., Mohamed, S.M., Abdou, O.F.: Improvement in estimating the population mean in simple random sampling using information on auxiliary attribute. Applied Mathematics and Computation 215, 4198–4202 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  2. Sisodia, B.V.S., Dwivedi, V.K.: A modified ratio estimator using coefficient of variation of auxiliary variable. Jour. Ind. Soc. Agr. Stat. 33, 13–18 (1981)

    Google Scholar 

  3. Kadilar, C., Cingi, H.: Ratio estimators in simple random sampling. Applied Mathematics and Computation 151, 893–902 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  4. Kadilar, C., Cingi, H.: Improvement in estimating the population mean in simple random sampling. Applied Mathematics Letters 19, 75–79 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  5. Kadilar, C., Cingi, H.: Ratio estimators in stratified random sampling. Biometrical Journal 45(2), 218–225 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  6. Jhajj, H.S., Sharma, M.K., Grover, L.K.: A family of estimators of population mean using information on auxiliary attribute. Pak. J. Statist. 22(1), 43–50 (2006)

    MathSciNet  MATH  Google Scholar 

  7. Shabbir, J., Gupta, S.: On estimating the finite population mean with known population proportion of an auxiliary variable. Pak. J. Statist. 23(1), 1–9 (2007)

    MathSciNet  MATH  Google Scholar 

  8. Roy, D.C.: A regression-type estimator in two-phase sampling using two auxiliary variables. Pak. J. Statist. 19(3), 281–290 (2003)

    MathSciNet  MATH  Google Scholar 

  9. Bacanli, S., Kadilar, C.: Ratio estimators with unequal probability designs. Pak. J. Statist. 24(3), 167–172 (2008)

    MathSciNet  Google Scholar 

  10. Singh, H.P., Kakran, M.S.: A modified ratio estimator using known coefficient of kurtosis of an auxiliary character. Revised version submitted to Journal of Indian Society of Agricultural Statistics, New Delhi, India (1993)

    Google Scholar 

  11. Rao, T.J.: On certain methods of improving ratio and regression estimators. Communications in Statistics: Theory and Methods 20(10), 3325–3340 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  12. Cochran, W.G.: Sampling Techniques. John Wiley and Sons, New York (1977)

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Science College of Inner Mongolia university of technology, Hohhot, Inner Mongolia, P.R. China, 010051

    Zaizai Yan & Bing Tian

  2. Management College of Inner Mongolia University of Technology, Hohhot, Inner Mongolia, P.R. China, 010051

    Zaizai Yan

Authors
  1. Zaizai Yan
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  2. Bing Tian
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Editor information

Editors and Affiliations

  1. College of Computer Science, South-Central University for Nationalities, 708 Minyuan Road, 430074, Wuhan, China

    Rongbo Zhu

  2. 8001, Melbourne, VIC, Australia

    Yanchun Zhang

  3. College of sciences, He’Bei polytechnic University, 063000, Tangshan, Hebei, China

    Baoxiang Liu  & Chunfeng Liu  & 

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Yan, Z., Tian, B. (2010). Ratio Method to the Mean Estimation Using Coefficient of Skewness of Auxiliary Variable. In: Zhu, R., Zhang, Y., Liu, B., Liu, C. (eds) Information Computing and Applications. ICICA 2010. Communications in Computer and Information Science, vol 106. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16339-5_14

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  • DOI: https://doi.org/10.1007/978-3-642-16339-5_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16338-8

  • Online ISBN: 978-3-642-16339-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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