A STUDY OF LINEAR COMBINATION BASED FACTOR- TYPE ESTIMATOR FOR ESTIMATING POPULATION MEAN IN SAMPLE SURVEYS
Keywords:
Linear Combination, Factor Type Estimator, Bias, Mean Squared Error.Abstract
The objective of this paper is to study the linear combination of factor-type (F-T) estimator to estimate population mean and its properties like bias, mean squared error (m.s.e.) etc. along with numerical study over different populations. The expressions of bias and mean squared error (m.s.e.) of the estimator are derived in the form of population parameters by using the concept of large sample approximations. The combination of F-T estimator is compared with some existing estimators and found better over existing estimators in case of negative correlation between study and auxiliary variables or equal efficient and tested by empirical study performed over several data sets.
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References
Cochran, W. G. (1977). Sampling Techniques, Third U. S. Edition, Wiley
Eastern Limited. a. 325.
Das, A.K. (1988). Contribution to the theory of sampling strategies based on
auxiliary information. Ph. D. Thesis, BCKV, West Bengal, India.
Kadilar C. and Cingi, H. (2006). Improvement in estimating the population
mean in simple random sampling, Elsevier, 19, p. 75–79.
Maddala, G.S.( 1977). Econometrics. New York, McGraw-Hill.
Murthy, M.N. (1967). Sampling theory and methods, Statistical Publishing
Society, Calcutta,
Murty, M. N. (1964). Product method of estimation, Sankhya, A, 26, p. 294-
Pandey, B.N. and Dubey, V. (1988). Modified product estimator using
coefficient of variation of auxiliary variable, Assam Stat. Rev., 2, p. 64-66.
Sanaullah, A., Khan, H., Ali, H. A., Singh, R. (2012). Improved exponential
ratio-type estimators in survey sampling, Jour. Reliab. and Stat. Stud. 5(2), p.
-132.
Sharma, B and Tailor, R. (2010). A New Ratio-Cum-Dual to Ratio Estimator
of Finite Population Mean in Simple Random Sampling, Global Journal of
Science Frontier Research, Vol. 10 Issue 1 (Ver 1.0), p. 27-31.
Shukla, D. and Thakur, N.S. (2008). Estimation of Mean with Imputation of
Missing Data Using Factor Type Estimator, Statistics in Transition, Vol. 9,
No. 1, p. 33-48.
Shukla, D., Pathak, S. and Thakur, N.S. (2012). Estimation of Population
Mean Using Two Auxiliary Sources in Sample Surveys, Statistics in
Transition-new series, Vol. 13, No. 1, p. 21—36.
Singh, H. P. and Agnihotri, N. (2008). A General Class of Estimating
Population Mean Using Auxiliary Information in Sample Surveys, Statistics in
Transition, 9, 1, p. 71-87.
Singh, H. P. and Tailor, R. (2003). Use of known correlation coefficient in
estimating the finite population mean, Statistics in Transition, 6 (4), p. 555-
Singh, H. P. and Tailor, R. (2005). Estimation of finite population mean using
known correlation coefficient between auxiliary characters, Statistica, Anno
LXV, 4, p. 407-418.
Singh, R. and Kumar, M. (2011). A note on transformations on
auxiliary variable in survey sampling, Mod. Assis. Stat. Appl., 6.1, 17-
doi 10.3233/MAS-2011-0154
Singh, R., Malik, S., Chaudhary, M.K., Verma, H. and Adewara, A.A. (2012).
A general family of ratio type- estimators in systematic sampling, Jour. Reliab.
and Stat. Stud., 5(1), p. 73-82.
Singh, V. K. and Shukla, D. (1987). One parameter family of factor type ratio
estimator, Metron, 45, 1-2, p. 273-283.
Singh, V. K. and Shukla, D. (1993). An efficient one parameter family of
factor - type estimator in sample survey, Metron, 51, 1-2, p. 139-159.
Sisodia, B.V.S. and Dwivedi, V.K. (1981). A modified ratio estimator using
coefficient of variation of auxiliary variable, Jour. Ind. Soc. Agri. Stat., 33(1),
p. 13-18.
Srivenkataramana, T. (1980). A dual of ratio estimator in sample surveys,
Biometrika, 67, 1, p. 199-204.
Steel, R.G.D and Torrie, J. H. (1960). Principles and procedures of statistics,
McGraw hill book.
Sukhatme, P. V. and Sukhatme, B. V. (1970). Sampling theory of surveys with
applications, Iowa State University Press, Ames, U. S. A.
Tailor, R. and Sharma, B. K. (2009). A Modified Ratio-Cum-Product
Estimator of Finite Population Mean Using Known Coefficient of Variation
and Coefficient of Kurtosis. Statistics in Transition-new series, Jul-09, Vol.
, No. 1, p. 15-24.
