Abstract
This paper proposes a generalized class of difference-cum-exponential-type estimators for population mean under simple random sampling without replacement through known conventional and non-conventional auxiliary information. It is observed that some well-known estimators are the members of our proposed class. Moreover, proposed class of estimators behaves efficiently than competing estimators under some simple conditions. Theoretical findings are confirmed with numerical illustration by using six real-life datasets. In addition, Monte Carlo simulation study on four real populations also approved the potential of the proposed class against competing estimators.
Similar content being viewed by others
References
Bahl S, Tuteja RK (1991) Ratio and product type exponential estimator. Inf Optim Sci XII 1:159–163
Bedi PK (1996) Efficient utilization of auxiliary information at estimated stage. Biom J 38(8):973–976
Cochran WG (1940) The estimation of the yields of cereal experiments by sampling for the ratio gain to total produce. J Agric Sci 30:262–275
Cochran WG (1977) Sampling techniques. Wiley, New York
Grover LK, Kaur P (2011) An improved estimator of the finite population mean in simple random sampling. Model Assist Stat Appl 6(1):47–55
Grover LK, Kaur P (2014) A generalized class of ratio type exponential estimators of population mean under linear transformation of auxiliary variable. Commun Stat Simul Comput 43:1552–1574
Gujarati DN (2004) Basic econometrics. The McGraw-Hill Companies, New York
Gupta S, Shabbir J (2008) On improvement in estimating the population mean in simple random sampling. J Appl Stat 35(5):559–566
Hansen MN, Hurwitz WN, Madow WG (1953) Sample survey methods and theory. Wiley, New York
Haq A, Shabbir J (2013) Improved family of ratio estimators in simple and stratified random sampling. Commun Stat Theory Methods 42(5):782–799
Irfan M, Javed M, Abid M, Lin Z (2018) Improved ratio type estimators of population mean based on median of a study variable and an auxiliary variable. Hacet J Math Stat 47(3):659–673
Kadilar GO (2016) A new exponential type estimator for the population mean in simple random sampling. J Mod Appl Stat Methods 15(2):207–214
Kadilar C, Cingi H (2006) An improvement in estimating the population mean by using the correlation coefficient. Hacet J Math Stat 35(1):103–109
Murthy MN (1964) Product method of estimation. Sankhya A 16:69–74
Rao TJ (1991) On certain methods of improving ratio and regression estimators. Commun Stat Theory Methods 20(10):3325–3340
Shabbir J, Gupta S (2011) On estimating finite population mean in simple and stratified random sampling. Commun Stat Theory Methods 40(2):199–212
Shabbir J, Haq A, Gupta S (2014) A new difference-cum-exponential type estimator of finite population mean in simple random sampling. Revista Colombiana de Estadistica 37(1):199–211
Singh D, Chaudhary FS (1986) Theory and analysis of sample survey designs. New Age International Publisher, New Delhi
Singh R, Mangat NS (1996) Elements of survey sampling. Kluwer Academic Publishers, Norwell
Singh HP, Solanki RS (2013) An efficient class of estimators for the population mean using auxiliary information. Commun Stat Theory Methods 42:145–163
Singh HP, Tailor R (2003) Use of known correlation coefficient in estimating the finite population means. Stat Transit 6(4):555–560
Singh HP, Tailor R, Tailor R, Kakran MS (2004) An improved estimator of population mean using power transformation. J Indian Soc Agric Stat 58(2):223–230
Singh R, Chauhan P, Sawan N (2007) A family of estimators for estimating population means using known correlation coefficient in two-phase sampling. Stat Transit New Ser 8(1):89–96
Singh R, Chauhan P, Sawan N, Smarandache F (2009) Improvement in estimating the population mean using exponential estimator in simple random sampling. Bull Stat Econ 3:13–18
Surya KP, Singh HP, Kumar S, Chatterjee K (2018) A family of efficient estimators of the finite population mean in simple random sampling. J Stat Comput Simul 88(5):920–934
Vishwakarma GK, Singh R, Gupta PC, Pareek S (2016) Improved ratio and product type estimators of finite population mean in simple random sampling. Revista Investigacion Operacional 36(3):70–76
Watson DJ (1937) The estimation of leaf area in field crops. J Agric Sci 27:474–483
Yadav SK, Kadilar C (2013) Efficient family of exponential estimators for the population mean. Hacet J Math Stat 42(6):671–677
Acknowledgements
The authors would like to thank anonymous referees for their constructive suggestions which led to improvement over an earlier version of this manuscript and to the editor-in-chief, Prof. G. H. Esslamzadeh.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Irfan, M., Javed, M. & Lin, Z. Improved Estimation of Population Mean Through Known Conventional and Non-Conventional Measures of Auxiliary Variable. Iran J Sci Technol Trans Sci 43, 1851–1862 (2019). https://doi.org/10.1007/s40995-018-0645-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40995-018-0645-2