A General Class of Estimators in Presence of Non-response and Measurement Error Under Two-Phase Successive Sampling
Keywords:
Study variable, auxiliary variable, bias, mean square error, percent relative efficiencyAbstract
In this paper, we consider a general class of estimators for estimating the population mean in twophase successive sampling in the presence of non-response and measurement errors. The expression of the biases and mean squared errors (MSE’s) have been derived under the first degree of approximation. To check the performance, the proposed estimators are compared with the estimators under
the complete response situation. A simulation study was carried out to evaluate the results. On the basis of the available results, appropriate recommendations have been made to the researchers.
References
Azeem M. On Estimation of population mean in the presence of measurement error and non-response. Lahore: Unpublished Ph.D. thesis. National College of Business Administration and Economics; 2014.
Azeem M, Hanif M. Joint influence of measurement error and non-response on estimation of population mean. Commun Stat - Theory Methods. 2017; 46(4): 1679-1693.
Chaudhary MK, Kumar A. Estimating the population mean in stratified sampling using two phase sampling in the presence of non-response. World Appl Sci J. 2015; 33(6): 874882.
Cochran WG. Sampling Techniques. New York: John Wiley and Sons; 1977.
Fuller WA. Estimation in the presence of measurement error. Int Stat Rev. 1995; 63(2): 121-141.
Hansen MH, Hurwitz WN. The problem of the non-response in sample surveys. J Am Stat Assoc. 1946; 41: 517-529.
Khare BB, Srivastava S. Transformed ratio type estimators for the population mean in the presence of non-response. Commun Stat Theory Methods. 1997; 26(7): 1779-1791.
Kumar S, Singh H, Bhougal S, Gupta R. A class of ratio cum product type estimators under double sampling in the presence of non-response. Hacettepe J Math Stat. 2011; 40: 589-599.
Kumar S, Sharma V. Study on non-response and measurement error using double sampling scheme. J Stat Appl Probab. 2020; 7(2): 87-96.
Kumar S, Trehan M, Singh Joorel JP. A simulation study: estimation of population mean using two auxiliary variables in stratified random sampling. J Stat Comput Simul. 2018; 88(1): 1-14.
Singh HP, Kumar S. A regression approach to the estimation of the finite population mean in the presence of nonresponse. Aust N Z J Stat. 2008; 50(4): 395-408.
Singh HP, Kumar S. A general procedure of estimating the population mean in the presence of nonresponse under double sampling using auxiliary information. SORT. 2009; 33: 7184.
Singh HP, Kumar S. Estimation of mean in presence of non-response using two phase sampling scheme. Stat Pap. 2010; 50: 559582.
Singh HP, Karpe N. On the estimation of ratio and product of two population means using supplementary information in presence of measurement errors. Statistica. 2009; 69: 27-47.
Singh GN, Khalid M, Sharma AK. Some efficient classes of estimators of population mean in twophase successive sampling under random non response. Commun Stat Theory Methods. 2017; 46(24): 12194-12209.
Sharma P, Singh R. A generalized class of estimators for finite population variance in presence of measurement errors. J Mod Appl Stat Methods. 2013; 12: 231-241.
Wang L. A simple adjustment for measurement errors in some dependent variable models. Stat Probab Lett. 2002; 58: 427-433.
Zahid E, Shabbir J. Estimation of population mean in the presence of measurement error and nonresponse under stratified random sampling. PLoS One. 2018; 13(2): 1-12.
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