Keywords and phrases: unbiased ratio estimator, mean square error (MSE), non-response.
Received: May 29, 2020; Accepted: August 4, 2020; Published: May 28, 2021
How to cite this article: David Oyoo, Moses Manene, Christopher Ouma and George Muhua, On unbiased ratio estimator of finite population total in stratified random sampling under non-response, Advances and Applications in Statistics 68(2) (2021), 125-134. DOI: 10.17654/AS068020125
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] R. P. Chakrabarty, Some ratio estimators, Journal of the Indian Society of Agricultural Statistics 31(1) (1979), 49-57. [2] J. Durbin, A note on the application of Quenouille’s method of Bias reduction to the estimation of ratios, Biometrika 46(3-4) (1959), 477-480. [3] H. O. Hartley and A. Ross, Unbiased ratio estimators, Nature 174 (1954), 270-271. [4] M. Ismail, M. Q. Shahbaz and M. Hanif, A general class of estimator of population mean in presence of non-response, Pak. J. Statist. 27(4) (2011), 467-476. [5] M. Khoshnevisan, R. Singh, P. Chauhan, N. Sawan and F. Smarandache, A general family of estimators for estimating population mean using known value of some population parameters, Far East Journal of Theoretical Statistics 22(2) (2007), 181-191. [6] J. C. Koop, A note on the bias of the ratio estimate, Statistical Institute Bulletin 33(2) (1951), 141-6. [7] S. Kumar, Utilization of some known population parameters for estimating population mean in presence of non-response, Pak. J. Stat. Oper. Res. 8(2) (2012), 233-244. [8] D. Oyoo, M. Manene, C. Ouma and G. Muhua, Modified ratio estimator of finite population total in stratified random sampling under non-response, Mathematical Theory and Modeling 9(7) (2019), 74-88. [9] L. A. Goodman and H. O. Hartley, The precision of unbiased ratio-type estimators, Journal of the American Statistical Association 53 (1958), 491-508. [10] J. N. K. Rao, A note on estimation of ratios by Quenouille’s method, Biometrika 52 (1965), 647-9. [11] S. K. Ray and A. Sahai, Efficient families of ratio and product type estimators, Biometrika 67(1) (1980), 211-215. [12] R. Singh and F. Smarandache, (Eds.), On Improvement in Estimating Population Parameter(s) using Auxiliary Information, Educational Publishing (Columbus) and Journal of Matter Regularity (Beijing), USA-China (2013), 25-41. [13] R. S. Solanki, H. P. Singh and A. Rathour, An alternative estimator for estimating the finite population mean using auxiliary information in sample surveys, International Scholarly Research Notices 2012 (2012), Article ID 657682, 14 pp. doi:10.5402/2012/657682. [14] M. Tin, Comparisons of some ratio estimators, Journal of American Statistical Association 60(309) (1965), 294-307.
|