A generalized method of estimation of a population parameter in two-phase and successive sampling

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• 作者：Housila P. Singh (1)
  Ritesh Tailor (2)
  Sarjinder Singh (3)
  Marcin Kozak (4)
  
• 关键词：Study variate ; Auxiliary variate ; Finite population parameter ; Asymptotic optimum estimator ; Coefficient of variation
• 刊名：Quality and Quantity
• 出版年：2013
• 出版时间：April 2013
• 年：2013
• 卷：47
• 期：3
• 页码：1733-1760
• 参考文献：1. Cochran W.G.: Sampling Techniques. 2nd edn. Wiley, New York (1963)
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  4. Jessen, R.J.: Statistical investigation of a survey for obtaining farm facts. Iowa Agril. Expt Stat. Res. Bull. 304 (1942)
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  6. Sampath S.: On the optimal choice of unknowns in the ratio type estimators. J. Indian Soc. Agric. Stat. 41, 166-72 (1989)
  7. Singh S.: Estimation of finite population variance using double sampling. Alig. J. Stat. 11, 53-6 (1991)
  8. Singh V.K., Singh H.P., Singh H.P.: Estimation of ratio and product of two finite population means in two-phase-sampling. J. Stat. Plan. Infer. 41, 163-71 (1994) CrossRef
  9. Srivastava S.K.: A generalized estimator for the mean of a finite population using multiauxiliary information. J. Am. Stat. Assoc. 66, 404-07 (1971) CrossRef
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  12. Srivastava S.K., Jhajj H.S.: Improved estimation in two-phase and successive sampling. J. Indian Stat. Assoc. 25, 71-5 (1987)
  13. Tripathi T.P., Singh H.P., Upadhyaya L.N.: A general method of estimation and its applications to the estimation of coefficient of variation. Stat. Transit. 5(6), 887-08 (2003)
  14. Upadhyaya L.N., Singh H.P.: A class of estimators using auxiliary information for estimating ratio of two finite population means. Gujarat Stat. Rev. 12(2), 7-6 (1985)
  15. Upadhyaya L.N., Singh H.P.: Estimation of the population standard deviation using auxiliary information. Am. J. Math. Manag. Sci. 21(3&4), 345-58 (1999)
  
• 作者单位：Housila P. Singh (1)
  Ritesh Tailor (2)
  Sarjinder Singh (3)
  Marcin Kozak (4)
  
  1. School of Studies in Statistics, Vikram University, Ujjain, MP, 456010, India
  2. Division of Wood Properties and Uses, Institute of Wood Science and Technology, ICFRE, Bangalore, India
  3. Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX, 78363, USA
  4. Faculty of Economics, University of Information Technology and Management in Rzeszów, Sucharskiego 2, 35-225, Rzeszów, Poland
  
• ISSN：1573-7845

文摘

The paper considers a problem of estimating a finite population parameter T (α, β, γ) in two-phase and successive sampling. Asymptotic optimum estimator (AOE) in a class is identified with its approximate variance formula. Several estimators of different parameters are identified as particular members of the class. In particular, we have focused on estimating the population coefficient of variation. The expressions for bias and variance are derived and compared theoretically.