A GENERALIZED CLASS OF DOUBLE SAMPLING RATIO CUM DUAL TO RATIO ESTIMATOR IN PRESENCE OF NON-RESPONSE

Waikhom Warseen Chanu, Bhupendra Kumar Singh, Yater Tato
1.893 363

Abstract


 In the present paper, we propose a generalized class of double sampling ratio cum dual to ratio estimator in two cases in presence of non-response to estimate the population mean of the study variable y. The bias and mean square error (MSE) of the proposed estimator has been obtained for both the cases. The asymptotically optimum estimator (AOE) in this class has also been obtained along with its bias and MSE. Comparisons have been made with the existing similar estimators theoretically and numerically to demonstrate the superiority of the proposed estimator.


Keywords


Dual to ratio; Non-response; Bias; Mean square error; Asymptotically optimum estimator (AOE)

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References


References:

Chanu, W.W. and Singh, B.K. An efficient class of double sampling dual to ratio estimators of population mean in sample surveys. International Journal of Statistics and Economics, 14(2), (2014).

Chanu, W.W. and Singh, B.K. A class of ratio cum dual to ratio estimator of finite population mean in presence of non-response. International Journal of Mathematics and Communication, 26(3), (2015).

Cochran, W. Sampling techniques. New York, Wiley and Sons, 98:259-261, 1977.

Hansen, M.N. and Hurwitz, W. N. The problem of non-response in sample surveys. Journal of the American Statistical Association, 41(236):517-529, (1946).

Khare, B.B. and Srivastava, S. Estimation of population mean using auxiliary character in presence of non-response. National Academy Science Letters-India, 16(3):111-114, (1993).

Khare, B.B. and Srivastava, S. Study of conventional and alternative two phase sampling ratio, product and regression estimators in presence of non-response. Proceedings-national Academy Science, India, Section A, 65:195-204, (1995).

Khare, B.B. and Srivastava, S. Transformed ratio types estimators for the population mean in the presence of non-response. Communications in Statistics-Theory and Methods, 26(7):1779-1791, (1997).

Kumar, M. and Bahl, S. Class of dual to ratio estimators for double sampling. Statistical Papers, 47(2):319-326, (2006).

Lewis, P. A., Jones, P.W., Polak, J.W. and Tillotson, H.T. The problem of conversion

in method comparison studies. Applied Statistics, pages 105-11, (1991).

Neyman, J. Contribution to the theory of sampling human populations. Journal

of the American Statistical Association, 33(201):101-116, (1938).

Okafor, F. C. and Lee, H. Double sampling for ratio and regression estimation with

sub-sampling the non-respondents. Survey Methodology, 26(2):183-188, (2000).

Rao, P.S.R.S. Ratio estimation with sub sampling the non respondents. Survey

Methodology, 12(2):217-230, (1986).

Sharma, B. and Tailor, R. A new ratio-cum-dual to ratio estimator of finite popula-

tion mean in simple random sampling. Global Journal of Science Frontier Research,

(1), (2010).

Singh, H. P. and Kumar, S. Estimation of mean in presence of non-response using

two phase sampling scheme. Statistical Papers, 51(3):559-582, (2010).

Singh, H.P. and Kumar, S. A regression approach to the estimation of the _nite

population mean in the presence of non-response. Australian & New Zealand Journal

of Statistics, 50(4):395-408, (2008).

Singh, H.P. and Kumar, S. A general procedure of estimating the population mean

in the presence of non-response under double sampling using auxiliary information.

Statistics and Operations Research Transactions, 33(1):71-84, (2009).

Sodipo, A. A. and Obisesan, K. O. Estimation of the population mean using dif-

ference cum ratio estimator with full response on the auxiliary character. Research

Journal of Applied Sciences, 2(6):769-772, (2007).

Srivenkataramana, T. A dual to ratio estimator in sample surveys. Biometrika,

(1):199-204, (1980).

Tabasum, R. and Khan, I. A. Double sampling ratio estimator for the population

mean in presence of non-response. Assam Statististics Review, 20(1):73-83, (2006).

Tabasum, R. and Khan, I.A. Double sampling for ratio estimation with non-response.

Journal of Indian Society and Agricultural Statistics, 58(3):300-306, (2004).