Open Access Open Access  Restricted Access Subscription Access

Chain Type Estimators for Population Mean using the Information on Auxiliary Variable and Auxiliary Attribute in Sample Surveys

Kamlesh Kumar, Sunit Kumar

Abstract


In this paper, chain type estimators for population mean using the information on auxiliary variable and auxiliary attribute in sample surveys, have been proposed. The relative bias and mean square error of the proposed estimators are obtained up to the first order of approximation. Some special cases of the proposed estimators are given. The conditions, under which the proposed estimators are more efficient in comparison to the earlier estimators, are obtained. An empirical study has been done to demonstrate the efficiency of the proposed estimators.


Keywords


Relative Bias; Mean Square Error; Auxiliary Variable; Auxiliary Attribute; Chain Estimator.

Full Text:

PDF

References


B. B. Khare;U. Srivastava;K. Kumar; A generalized chain ratio in regression estimator for population mean using two auxiliary characters in sample survey, J. Sci. Res. BHU, Varanasi,57 147-153 (2013).

B. Kiregyera; A chain ratio-type estimator in finite population in double sampling using two auxiliary variables, Metrika,27 217-223 (1980).

B. Kiregyera; Regression type estimators using two auxiliary variables and the model of double sampling from a finite population, Metrika,31 215-226 (1984).

G. K. Vishwakarma;R. K. Gangele; A class of chain ratio-type exponential estimators in double sampling using two auxiliary variates, Appl. Math. Compu.,227 171-175 (2014).

G. N. Singh;L. N. Upadhyaya; A class of modified chain type estimators using two auxiliary variables in two-phase sampling, Metron,LIII 117-125 (1995).

H. P. Singh;R. S. Solanki; Improved estimation of population mean in simple random sampling using information on auxiliary attribute, Appl. Math. Comp.,218 7798–7812 (2012).

H. S. Jhajj;M. K. Sharma;L. K. Grover; A family of estimators of population mean using information on auxiliary attribute, Pak. J. Stat.,22 43–50 (2006).

J. Neyman; Contributions to the theory of sampling human population, J. Amer. Stat. Assoc.,33 101-116 (1938).

J. Shabbir;S. Gupta; Estimation of the finite population mean in two phase sampling when auxiliary variables are attributes, Hacett. J. Math. Stat.,39 121–129 (2010).

L. Chand; Some ratio type estimators based on two or more auxiliary variables, Unpublished Ph.D. thesis, Iowa State University, Ames, Iowa (USA) (1975).

L. N. Upadhyaya;G. N. Singh; Chain type estimators using transformed auxiliary variable in two-phase sampling, Adv. Mod. Analy.,38 (1-2) 1-10 (2001).

R. S. Solanki;H. P. Singh; Improved estimation of population mean using population proportion of an auxiliary character, Chil. J. Stat.,4(1) 3-17 (2013).

R. Singh; P. Chouhan; N. Sawan; F. Smarandache; Ratio-product type exponential estimator for estimating finite population mean using Information on auxiliary attribute, Renaissance High Press, USA, 18-32 (2007).

S. K. Srivastava; A two phase estimator in sampling surveys, Aust. J. Stat.,12 23-27 (1970).

S. Rani Srivastava;B. B. Khare;S. R. Srivastava; A generalised chain ratio estimator for mean of finite population, J. Ind. Soc. Agri. Stat.,1108-117 (1990).

V. D. Naik;P. C. Gupta; A note on estimation of mean with known population proportion of an auxiliary character, J. Ind. Soc. Agri. Stat.,48(2) 151-158 (1996).

W.G. Cochran; The estimation of the yields of the cereal experiments by sampling for the ratio of grain to total produce, J. Agri. Sci.,30 262-275 (1940).


Refbacks

  • There are currently no refbacks.




INDIAN ASSOCIATION FOR RELIABILITY AND STATISTICS

(IARS)

© 2015 IARS. All right reserved.