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2018 | 19 | nr 2 | 219--238
Tytuł artykułu

Efficient Estimators of Population Mean Using Auxiliary Information Under Simple Random Sampling

Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In the present study we have proposed an improved family of estimators for estimation of population mean using the auxiliary information of median, quartile deviation, Gini's mean difference, Downton's Method, Probability Weighted Moments and their linear combinations with correlation coefficient and coefficient of variation. The performance of the proposed family of estimators is analysed by mean square error and bias and compared with the existing estimators in the literature. By this comparison we conclude that our proposed family of estimators is more efficient than the existing estimators. To support the theoretical results, we also provide the empirical study. (original abstract)
Słowa kluczowe
Rocznik
Tom
19
Numer
Strony
219--238
Opis fizyczny
Twórcy
autor
  • Division of Agricultural Statistics, SKUAST-K Shalimar, India
  • Division of Agricultural Statistics, SKUAST-K Shalimar, India
  • Division of Agricultural Statistics, SKUAST-K Shalimar, India
autor
  • Vikram University, India
  • School of Business, UPES, India
Bibliografia
  • ABID, M., ABBAS, N., NAZIR, H. Z., LIN, Z., (2016). Enhancing the mean ratio estimators for estimating population mean using non-conventional location parameters, Revista Colombiana de Estadistica, 39 (1), pp. 63-79.
  • ABID, M., SHERWANI, R. A. K., ABBAS, N., NAWAZ, T., (2016). Some improved modified ratio estimators based on decile mean of an auxiliary variable, Pakistan Journal of Statistic and Operation Research, 12 (4), pp. 787-797.
  • COCHRAN, W. G., (1977). Sampling Techniques, Third Edition, Wiley Eastern Limited, New York.
  • KADILAR C., CINGI, H., (2006). An improvement in estimating the population mean by using the correlation coefficient, Hacettepe Journal of Mathematics and Statistics, 35 (1), pp. 103-109.
  • KADILAR, C., CINGI, H., (2004). Ratio estimators in simple random sampling, Applied Mathematics and Computation, 151, pp. 893-902.
  • KOYUNCU, N., KADILAR, C., (2009). Efficient Estimators for the Population mean, Hacettepe Journal of Mathematics and Statistics, 38 (2), pp. 217-225.
  • MURTHY, M. N., (1967). Sampling Theory and Methods, 1 ed., Statistical Publishing Society, India.
  • Prasad, B., (1989). Some improved ratio type estimators of population mean and ratio in finite population sample surveys, Communications in Statistics-Theory and Methods, 18, pp. 379-392.
  • RAO, T. J., (1991). On certain methods of improving ratio and regression estimators, Communications in Statistics-Theory and Methods, 20 (10), pp. 3325-3340.
  • ROBSON, D. S., (1957). Application of multivariate Polykays to the theory of unbiased ratio type estimation, Journal of American Statistical Association, 52, pp. 411-422.
  • SHARMA, P., SINGH, R., (2013). Improved Estimators for Simple random sampling and Stratified random sampling Under Second order of Approximation. Statistics In Transition- new series, 14 (3), pp. 379-390.
  • SINGH H. P., TAILOR, R., (2003). Use of known correlation coefficient in estimating the finite population means, Statistics in Transition, 6 (4), pp. 555- 560.
  • SINGH, D., CHAUDHARY, F. S., (1986). Theory and Analysis of Sample Survey Designs, 1 ed., New Age International Publisher, India.
  • SINGH, H. P., TAILOR, R., KAKRAN, M., (2004). Improved estimators of population mean using power transformation, Journal of the Indian Society of Agricultural Statistics, 58 (2), pp. 223-230.
  • SINGH, H. P., TAILOR, R., (2005). Estimation of finite population mean with known coefficient of variation of an auxiliary, STATISTICA, anno LXV, 3, pp. 301-311.
  • SISODIA, B. V. S., DWIVEDI, V. K., (1981). A modified ratio estimator using coefficient of variation of auxiliary variable, Journal of the Indian Society of Agricultural Statistics, 33 (1), pp. 13-18.
  • SUBRAMANI, J., KUMARAPANDIYAN, G., (2012). A class of modified ratio estimators using deciles of an auxiliary variable, International Journal of Statistical Application, 2, pp. 101-107.
  • SUBZAR, M., ABID, M., MAQBOOL, S., RAJA, T. A., SHABEER, M., LONE, B. A., (2017). A Class of Improved Ratio Estimators for Population Mean using Conventional Location parameters, International Journal of Modern Mathematical Sciences, 15 (2), pp. 187-205.
  • SUBZAR, M., MAQBOOL, S., RAJA, T. A., SHABEER, M., (2017). A New Ratio Estimators for estimation of Population mean using Conventional Location parameters, World Applied Sciences Journal, 35 (3), pp. 377-384.
  • SUBZAR, M., RAJA, T. A., MAQBOOL, S., NAZIR, N., (2016). New Alternative to Ratio Estimator of Population Mean, International Journal of Agricultural Statistical Sciences, 12 (1), pp. 221-225.
  • UPADHYAYA, L. N., SINGH, H., (1999). Use of transformed auxiliary variable in estimating the finite population mean, Biometrical Journal, 41 (5), pp. 627- 636.
  • WOLTER, K. M., (1985). Introduction to Variance Estimation, Springer-Verlag.
  • YAN, Z., TIAN, B., (2010). Ratio method to the mean estimation using coefficient of skewness of auxiliary variable, Information Computing and Applications, 106, pp. 103-110.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171560931

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