GENERALIZED CHAIN RATIO REGRESSION AND CHAIN REGRESSION ESTIMATORS FOR THE POPULATION MEAN USING TWO AUXILIARY CHARACTERS IN THE PRESENCE OF NON-RESPONSE
Keywords:
Population Mean, Study Variable, Auxiliary Variables, Mean Squared ErrorAbstract
Generalized chain ratio regression and chain regression estimators for the population mean using two auxiliary characters have been proposed in the presence of non-response. The expressions for the mean square error (MSE) of these estimators have been obtained for fixed sample sizes ( n′ and n ) and also for fixed costC ≤ C0 .The optimum values of the first phase sample size n′ and the sub sample of size n have been obtained for the fixed cost 0 C ≤ C and also for the specified precision V = 0 V ′ .
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References
Chand, L. (1975). Some ratio-type estimators based on two or more auxiliary
variables, Ph.D. Thesis submitted to Iowa State University, Ames, IOWA.
Hansen, M. H. and Hurwitz, W. N. (1946). The problem of non-response in
sample surveys, J. Amer. Statist. Assoc., 41, p. 517-529.
Kiregyera, B. (1980). A chain ratio type estimator in finite population double
sampling using two auxiliary variables, Metrika, 27, p. 217-223.
Kiregyera, B. (1984). Regression - type estimators using two auxiliary
variables and model of double sampling from finite populations, Metrika, 31, p.
-226.
Khare, B. B. and Srivastava, S. (1993). Estimation of population mean using
auxiliary character in presence of non-response, Nat. Acad. Sci. Letters, India,
(3), p. 111-114.
Khare, B. B. and Srivastava, S. (1995). Study of conventional and alternative
two phase sampling ratio, product and regression estimators in presence of
non-response, Proc. Nat. Acad. Sci., India, Sect. A 65(a) II, p. 195-203.
Khare, B. B. and Srivastava, S. (1996). Transformed product type estimators
for population mean in presence of softcore observations, Proc. Math. Soc. B.
H.U., 12, p. 29-34.
Khare, B. B. and Srivastava, S. (1997). Transformed ratio type estimators for
population mean in presence, Commun. Statist. Theory Meth., 26(7), p. 1779-
Khare, B.B. and Sinha, R.R. (2002). General class of two phase sampling
estimators for the population mean using an auxiliary character in the presence
of non-response, Proc. of Vth International Symposium on Optimization and
Statistics, AMU,Aligarh, p. 233-245.
Khare, B.B. and Sinha, R.R. (2007). Estimation of the ratio of the two
population means using multi-auxiliary characters in the presence of non-
response, In “Statistical Technique in Life Testing, Reliability, Sampling
Theory and Quality Control”. Edited by B.N. Pandey, Narosa publishing house,
New Delhi, p. 163-171