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Efficient classes of ratio-cum-product estimators of population mean in stratified random sampling

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, classes of separate and combined ratio-product estimators are proposed for estimating the finite population mean in stratified random sampling. The expressions for biases and mean squared errors (MSEs) of the proposed classes are derived to the first order of approximation. It is also verified that the proposed classes of estimators, under their optimum conditions, are equivalent to the separate regression estimator. The proposed classes of estimators are compared with the other existing estimators by using the MSE criterion, and the conditions under which the proposed classes perform better are obtained. Theoretical results are validated with the help of an empirical study.
Rocznik
Strony
267--278
Opis fizyczny
Bibliogr. 22 poz., tab.
Twórcy
  • Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India
autor
  • Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India
Bibliografia
  • [1] W. G. Cochran, Sampling Techniques, Wiley, New York 1977.
  • [2] P. C. Gupta, On some quadratic and higher degree ratio and product estimators, J. Indian Soc. Agricultural Statist. 30 (1978), pp. 71-80.
  • [3] Japan Meteorological Society, http://www.data.jma.go.jp/obd/stats/data/en/smp/index.html [retrieved: May 26, 2016].
  • [4] C. Kadilar and H. Cingi, Ratio estimators in stratified random sampling, Biom. J. 45 (2003), pp. 218-225.
  • [5] C. Kadilar and H. Cingi, A new ratio estimator in stratified random sampling, Comm. Statist. Theory Methods 34 (2005), pp. 597-602.
  • [6] N. Koyuncu and C. Kadilar, Ratio and product estimators in stratified random sampling, J. Statist. Plann. Inference 139 (2009), pp. 2552-2558.
  • [7] V. D. Naik and P. C. Gupta, A general class of estimators for estimating population mean using auxiliary information, Metrika 38 (1991), pp. 11-17.
  • [8] V. N. Reddy, On a transformed ratio method of estimation, Sankhya 36 (1974), pp. 59-70.
  • [9] J. Shabbir and S. Gupta, On estimating finite population mean in simple and stratified random sampling, Comm. Statist. Theory Methods 40 (2011), pp. 199-212.
  • [10] D. Singh and F. S. Chaudhary, Theory and Analysis of Sample Survey Designs, New Age International, New Delhi 1986.
  • [11] G. N. Singh, On the improvement of product method of estimation in sample surveys, J. Indian Soc. Agricultural Statist. 56 (2003), pp. 267-275.
  • [12] H. P. Singh and M. Ruiz Espejo, On linear regression and ratio-product estimation of a finite population mean, The Statistician 52 (2003), pp. 59-67.
  • [13] H. P. Singh and G. K. Vishwakarma, An efficient variant of the product and ratio estimators in stratified random sampling, Statistics in Transition 7 (2006), pp. 1311-1325.
  • [14] H. P. Singh and G. K. Vishwakarma, A family of estimators of population mean using auxiliary information in stratified sampling, Comm. Statist. Theory Methods 37 (2008), pp. 1038-1050.
  • [15] R. Singh and N. Singh Mangat, Elements of Survey Sampling, Kluwer Academic Publishers, Dordrecht-Boston 1996.
  • [16] S. Singh, Advanced Sampling Theory with Applications, Kluwer Academic Publishers, Dordrecht 2003.
  • [17] S. K. Srivastava, An estimator using auxiliary information in sample surveys, Calcutta Statist. Assoc. Bull. 6 (1967), pp. 121-132.
  • [18] P. V. Sukhatme, B. V. Sukhatme, S. Sukhatme, and C. Ashok, Sampling Theory of Surveys with Applications, Iowa State University Press, Ames, Iowa, and ICAR, New Delhi 1984.
  • [19] R. Tailor, B. Sharma, and J. M. Kim, A generalized ratio-cum-product estimator of finite population mean in stratified random sampling, Commun. Korean Statist. Soc. 18 (2011), pp. 111-118.
  • [20] L. N. Upadhyaya and H. P. Singh, Use of transformed auxiliary variable in estimating the finite population mean, Biom. J. 41 (1999), pp. 627-636.
  • [21] J. W. E. Vos, Mixing of direct, ratio, and product method estimators, Stat. Neerl. 34 (1980), pp. 209-218.
  • [22] J. E. Walsh, Generalization of ratio estimate for population total, Sankhya 32 (1970), pp. 99-106.
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-558ca7ef-5fd4-4332-9161-05dbe728c92e
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