Abstract
This paper addresses the problem of estimating the population mean in systematic sampling using information on an auxiliary variable in presence of non-response. Some modified ratio, product and difference type estimators in systematic sampling have been suggested and their properties are studied. The expressions of mean squared error’s up to the first order of approximation are derived. An empirical study is carried out to judge the best estimator out of the suggested estimators.
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References
Upadhyaya LN, Singh HP (1999) Use of transformed auxiliary variable in estimating the finite population mean. Biom J 41:627–636
Khoshnevisan M, Singh R, Chauhan P, Sawan N, Smarandache F (2007) A general family of estimators for estimating population mean using known value of some population parameter(s). Far East J Theor Stat 22:181–191
Singh R, Cauhan P, Sawan N, Smarandache F (2007) Auxiliary information and a priori values in construction of improved estimators. Renaissance High Press, Ann Arbor
Singh R, Chauhan P, Sawan N (2008) On linear combination of ratio-product type exponential estimator for estimating finite population mean. Stat Trans 9(1):105–115
Singh R, Kumar M (2011) A note on transformations on auxiliary variable in survey sampling. MASA 6(1):17–19
Shabbir J, Gupta S (2007) On estimating the finite population mean with known population proportion of an auxiliary variable. Pak J Stat 23(1):1–9
Singh R, Kumar M, Smarandache F (2010) Ratio estimators in simple random sampling when study variable is an attribute. World Appl Sci J 11(5):586–589
Abd-Elfattah AM, Sherpeny EA, Mohamed SM, Abdou OF (2010) Improvement estimating the population mean in simple random sampling using information on auxiliary attribute. Appl Math Comput 215:4198–4202
Singh HP, Solanki RS (2012) Improved estimation of population mean in simple random sampling using information on auxiliary attribute. Appl Math Comput 218:7798–7812
Malik S, Singh R (2013) A family of estimators of population mean using information on point bi-serial and phi correlation coefficient. IJSE 10(1):75–89
Madow WG, Madow LH (1944) On the theory of systematic sampling, I. Ann Math Statist 15:1–24
Kushwaha KS, Singh HP (1989) Class of almost unbiased ratio and product estimators in systematic sampling. J Indian Soc Agric Stat 41(2):193–205
Banarasi Kuhwaha SNS, Kushwaha KS (1993) A class of ratio, product and difference (RPD) estimators in systematic sampling. Microelectron Reliab 33(4):455–457
Singh R, Singh HP (1998) Almost unbiased ratio and product type estimators in systematic sampling. Questiio 22(3):403–416
Singh R, Malik S, Singh VK (2012) An improved estimator in systematic sampling. J Sci Res 56:177–182
Hansen MH, Hurwitz WN (1946) The problem of non-response in sample surveys. J Am Stat Assoc 41:517–529
Ray SK, Sahai A (1980) Efficient families of ratio and product type estimators. Biometrika 67(1):211–215
Murthy MN (1967) Sampling theory and methods. Statistical Publishing Society, Calcutta
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Verma, H.K., Singh, R.D. & Singh, R. Some Improved Estimators in Systematic Sampling Under Non-response. Natl. Acad. Sci. Lett. 37, 91–95 (2014). https://doi.org/10.1007/s40009-013-0192-5
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DOI: https://doi.org/10.1007/s40009-013-0192-5