1. bookVolume 9 (2020): Issue 2 (December 2020)
Journal Details
License
Format
Journal
eISSN
2285-388X
First Published
05 Dec 2019
Publication timeframe
1 time per year
Languages
English
access type Open Access

Generalized Classes of Estimators for Population Mean, Ratio and Product Using Rank of Auxiliary Character Under Double Sampling the Non-Respondents

Published Online: 31 Dec 2020
Volume & Issue: Volume 9 (2020) - Issue 2 (December 2020)
Page range: 1 - 12
Journal Details
License
Format
Journal
eISSN
2285-388X
First Published
05 Dec 2019
Publication timeframe
1 time per year
Languages
English
Abstract

In the present study, generalized classes of estimators for estimating population mean, ratio and product of two population means using rank of auxiliary character in presence of non-response are proposed. The bias and mean square error of proposed classes of estimators are obtained and their performances examined. Specific conditions under which the members of proposed classes of estimators attain minimum mean square error are obtained. Comparative study of the proposed classes of estimators with the relevant estimators is carried out. An empirical study is given to justify the efficiency of the proposed classes of estimators.

Keywords

JEL Classification

Cochran, W.G. (1977). Sampling Techniques, 3rd ed. John Wiley and Sons, New York.Search in Google Scholar

Hansen, M. H. and Hurwitz, W. N. (1946). The population of non-response in sample surveys, Jour. Amer. Stat. Assoc., 41, pp. 517-529.10.1080/01621459.1946.10501894Search in Google Scholar

Khare, B. B. and Sinha, R. R. (2002). General class of two phase sampling estimators for the population mean using an auxiliary character in presence of non-response. Proceeding of the 5th International Symposium on Optimization and Statistics, pp. 233-245.Search in Google Scholar

Khare, B. B. and Sinha, R. R. (2004). On the general class of two phase sampling estimators for the product of two population means using the auxiliary character in the presence of non-response. Indian Jour. App. Stat., 8, pp. 1-14.Search in Google Scholar

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. Statistical Technique in Life Testing, Reliability, Sampling Theory and Quality Control, pp. 163-171.Search in Google Scholar

Khare, B. B. and Sinha, R. R. (2010). On class of estimators for the product of two population means using auxiliary character in presence of non-response. Inter. Trans. Appl. Sci., 2, pp. 841-846.Search in Google Scholar

Khare, B. B. and Sinha R. R. (2012 a). Improved classes of estimators for ratio of two means with double sampling the non-respondents. Statistika, 49(3), pp. 75-83.Search in Google Scholar

Khare, B. B. and Sinha R. R. (2012 b). Combined class of estimators for ratio and product of two population means in presence of non-response. Inter. Jour. Stat. Eco., 8, pp. 86-95.Search in Google Scholar

Khare, B. B. and Srivastava, S. (1993). Estimation of population mean using auxiliary character in presence of non-response. Nat. Acad. Sci. Lett. India, 16, pp. 111-114.Search in Google Scholar

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, 65(A) (II), pp. 195-203.Search in Google Scholar

Khare, B. B. and Srivastava, S. (1997). Transformed ratio estimators for the population mean in the presence of non-response. Comm. Stat.-Theo. Meth., 26(7), pp. 1779-1791.10.1080/03610929708832012Search in Google Scholar

Khare, B. B. and Srivastava, S. (2000). Generalised estimators for population mean in presence of non-response. Inter. Jour. Math. Stat. Sci., 9(1), pp. 75-87.Search in Google Scholar

Koyuncu, N. and Kadilar, C. (2009). Family of estimators of population mean using two auxiliary variables in stratified random sampling. Comm. Stat.-Theo. Meth., 38, pp. 2398-2417.10.1080/03610920802562723Search in Google Scholar

Lawson, N. (2018). An efficient general family of estimators for population mean in sampling with non-respondents. MATTER: Inter. Jour. Sci. Tech., 4(2), pp. 1-11.Search in Google Scholar

Lundstrm, S. and Sarndal, C. E. (2001). Estimation in the presence of non-response and coverage errors. CBM manual, Statistics Sweden, Stockholm.Search in Google Scholar

Lundstrm, S. and Sarndal, C. E. (2005). Estimation in surveys with non-response. Wiley, New York.Search in Google Scholar

Maji, R., Singh, G. N. and Bandyopadhyay, A. (2018). Effective estimation of ratio and product of two population means in presence of random non-response in successive sampling. Jour. Stat. Appl. Prob., 7 (2), pp. 363-378.10.18576/jsap/070214Search in Google Scholar

Okafor, F. C. and Lee, H. (2000). Double sampling for ratio and regression estimation with sub sampling the non-respondent. Survey Meth., 26(2), pp. 183-188.Search in Google Scholar

Rao, P. S. R. S. (1986). Ratio estimators with sub sampling the non-respondents. Survey Meth., 12, pp. 217-230.Search in Google Scholar

Rao, P. S. R. S. (1987). Ratio and regression estimators with sub sampling the non-respondents. Paper presented at a special contributed session of the International Statistical Association Meeting, September 2-16, Tokyo, Japan.Search in Google Scholar

Reddy, V. N. (1978). A study of use of prior knowledge on certain population parameters in estimation. Sankhya, C, 40, pp. 29-37.Search in Google Scholar

Singh, H. P. and Kumar, S. (2008a). Estimation of mean in presence of non-response using two phase sampling scheme. Stat. Papers, doi: 10.1007/S00362-008-040-5.Search in Google Scholar

Singh, H. P. and Kumar, S. (2008b). A regression approach to the estimation of finite population mean in presence of non-response. ANZJS, 50(4), pp. 395-408.10.1111/j.1467-842X.2008.00525.xSearch in Google Scholar

Singh, H.P. and Kumar, S. (2009a). A general class of estimators of the population mean in survey sampling using auxiliary information with sub-sampling the non-respondents. Korean Jour. App. Stat., 22(2), pp. 387-402.10.5351/KJAS.2009.22.2.387Search in Google Scholar

Singh, H.P. and Kumar, S. (2009b). A general procedure of estimating the population mean in the presence of non-response under double sampling using auxiliary information. SORT, 33(1), pp. 71-84.Search in Google Scholar

Singh, H.P. and Kumar, S. (2010). Estimation of population product in presence of non-response in successive sampling, Stat. Papers, 51, pp. 975-996.Search in Google Scholar

Sinha, R. R. (2014). Estimation of ratio of two population means using auxiliary attributes in presence of non-response. Inter. Jour. Recent Trends in Life Science and Mathematics, 1(2), pp. 1-7.Search in Google Scholar

Sinha, R. R. (2016). Families of estimators for ratio and product of study characters using mean and proportion of auxiliary character in presence of non-response. Inter. Jour. Acco. Eco. Stud., 4(2), pp. 142-147.10.14419/ijaes.v4i2.6376Search in Google Scholar

Sinha, R. R. and Kumar, V. (2011). Generalized estimators for population mean with sub-sampling the non-respondents. Ali. Jour. Stat., 31, pp. 53-62.Search in Google Scholar

Sinha, R. R. and Kumar, V. (2012). Estimation of population mean using mean square error by double sampling the non-respondents. Elixir Stat., 51, pp. 10881-10885.Search in Google Scholar

Sinha, R. R. and Kumar, V. (2013). Improved estimators for population mean using attributes and auxiliary characters under incomplete information. Inter. Jour. Math. Stat., 14, pp. 43-54.Search in Google Scholar

Sinha, R. R. and Kumar, V. (2017). Regression cum exponential estimators for finite population mean under incomplete information. Jour. Stat. Manag. Sys., 20(3), pp. 355-368.10.1080/09720510.2017.1304922Search in Google Scholar

Srivastava, S. K. and Jhajj, H. S. (1983). A class of estimators of the population mean using multi-auxiliary information. Cal. Stat. Assoc. Bulletin, 32, pp. 47-56.Search in Google Scholar

Tabasum, R. and Khan, I. A. (2004). Double sampling for ratio estimation with non-response. Jour. Ind. Soc. Ag. Stat., 58, pp. 300-306.Search in Google Scholar

Tabasum, R. and Khan, I. A. (2006). Double sampling ratio estimator for the population mean in presence of non-response. Assam Statistical Review, 20, pp. 73-83.Search in Google Scholar

Yaqub, M., Shabir, J. and Gupta, N. (2017). Estimation of population mean based on dual use of auxiliary information in non-response. Comm. Stat.-Theo. Meth., 46, pp. 12130-12151.10.1080/03610926.2017.1291969Search in Google Scholar

Recommended articles from Trend MD

Plan your remote conference with Sciendo