Browse > Article
http://dx.doi.org/10.5351/KJAS.2012.25.4.681

Families of Estimators of Finite Population Variance using a Random Non-Response in Survey Sampling  

Singh, Housila P. (School of Studies in Statistics, Vikram University)
Tailor, Rajesh (School of Studies in Statistics, Vikram University)
Kim, Jong-Min (Statistics Discipline, Division of Science and Mathematics, University of Minnesota-Morris)
Singh, Sarjinder (Department of Mathematics, Texas A&M University-Kingsville)
Publication Information
The Korean Journal of Applied Statistics / v.25, no.4, 2012 , pp. 681-695 More about this Journal
Abstract
In this paper, a family of estimators for the finite population variance investigated by Srivastava and Jhajj (1980) is studied under two different situations of random non-response considered by Tracy and Osahan (1994). Asymptotic expressions for the biases and mean squared errors of members of the proposed family are obtained; in addition, an asymptotic optimum estimator(AOE) is also identified. Estimators suggested by Singh and Joarder (1998) are shown to be members of the proposed family. A correction to the Singh and Joarder (1998) results is also presented.
Keywords
Finite population variance; study and auxiliary variables; bias; mean squared error; random non-response;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Isaki, C. T. (1983). Variance estimation using auxiliary information, Journal of the American Statistical Association, 7, 117-123.
2 Singh, S. (2003). Advanced Sampling Theory with Applications: How Michael Selected Amy, Kluwer Academic Publishers, The Netherlands.
3 Singh, S. and Joarder, A. H. (1998). Estimation of finite population variance using random non-response in survey sampling, Metrika, 98, 241-249.
4 Singh, S., Joarder, A. H. and Tracy, D. S. (2000). Regression type estimators for random non-response in survey sampling, Statistica, LX, 1, 39-44.
5 Srivastava, S. K. and Jhajj, H. S. (1980). A class of estimators using auxiliary information for estimating finite population variance, Sankhy, C, 42, 1-2, 87-96.
6 Tracy, D. S. and Osahan, S. S. (1994). Random non-response on study variable versus on study as well as auxiliary variables, Statistica, 54, 163-168.