Compromise Allocation for Combined Ratio Estimates of Population Means of a Multivariate Stratified Population Using Double Sampling in Presence of Non-Response
Read full paper at:
http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52377#.VJOIXcCAM4
http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52377#.VJOIXcCAM4
Author(s)
This paper is an attempt to work out a compromise
allocation to construct combined ratio estimates under multivariate
double sampling design in presence of non-response when the population
mean of the auxiliary variable is unknown. The problem has been
formulated as a multi-objective integer non-linear programming problem.
Two solution procedures are developed using goal programming and fuzzy
programming techniques. A numerical example is also worked out to
illustrate the computational details. A comparison of the two methods is
also carried out.
KEYWORDS
Cite this paper
Iftekhar, S. , Ali, Q. and Ahsan, M. (2014)
Compromise Allocation for Combined Ratio Estimates of Population Means
of a Multivariate Stratified Population Using Double Sampling in
Presence of Non-Response. Open Journal of Optimization, 3, 68-78. doi: 10.4236/ojop.2014.34007.
| [1] |
Hansen, M.H. and Hurwitz, W.N.
(1946) The Problem of Non-Response in Sample Surveys. Journal of the
American Statistical Association, 41, 517-529. http://dx.doi.org/10.1080/01621459.1946.10501894 |
| [2] | Rao, P.S.R.S. (1986) Ratio Estimation with Sub-Sampling the Non-Respondents. Survey Methodology, 12, 217-230. |
| [3] | Rao, P.S.R.S. (1987) Ratio and Regression Estimates with Sub-Sampling the Non-Respondents. Special Contributed Session of the International Statistical Association Meeting, 2-16 September 1987, Tokyo. |
| [4] | Khare, B.B. and Srivastva, S. (1993) Estimation of Population Mean Using Auxiliary Character in Presence of NonResponse. National Academy Science Letters, 16, 111-114. |
| [5] |
Khare, B.B. and Srivastva, S.
(1997) Transformed Ratio Type Estimators for the Population Mean in the
Presence of Non-Response. Communications in Statistics—Theory and
Methods, 26, 1779-1791. http://dx.doi.org/10.1080/03610929708832012 |
| [6] | Raiffa, H. and Schlaifer, R. (1961) Applied Statistical Decision Theory. Graduate School of Business Administration, Harvard University, Boston. |
| [7] |
Ericson, W.A. (1965) Optimum
Stratified Sampling Using Prior Information. Journal of the American
Statistical Association, 60, 750-771. http://dx.doi.org/10.1080/01621459.1965.10480825 |
| [8] |
Ahsan, M.J. and Khan, S.U.
(1982) Optimum Allocation in Multivariate Stratified Random Sampling
with Overhead Cost. Metrika, 29, 71-78. http://dx.doi.org/10.1007/BF01893366 |
| [9] |
Dayal, S. (1985) Allocation in
Sample Using Values of Auxiliary Characteristics. Journal of Statistical
Planning and Inference, 11, 321-328. http://dx.doi.org/10.1016/0378-3758(85)90037-0 |
| [10] | Khan, M.G.M., Maiti, T. and Ahsan, M.J. (2010) An Optimal Multivariate Stratified Sampling Design Using Auxiliary Information: An Integer Solution Using Goal Programming Approach. Journal of Official Statistics, 26, 695-708. |
| [11] | Varshney, R., Najmussehar and Ahsan, M.J. (2011) An Optimum Multivariate Stratified Double Sampling Design in Non-Response. Optimization Letters, 6, 993-1008. |
| [12] | Cochran, W.G. (1977) Sampling Techniques. 3rd Edition, John Wiley& Sons, New York. |
| [13] |
Schniederjans, M.J. (1995) Goal
Programming: Methodology and Applications. Kluwer, Dordrecht. http://dx.doi.org/10.1007/978-1-4615-2229-4 |
| [14] | Lingo User’s Guide (2013) Lingo-User’s Guide. LINDO SYSTEM INC., Chicago. |
| [15] | Haseen, S., Iftekhar, S., Ahsan, M.J. and Bari, A. (2012) A Fuzzy Approach for Solving Double Sampling Design in Presence of Non-Response. International Journal of Engineering Science and Technology, 4, 2542-2551. eww141219lx |
| [16] | Sukhatme, P.V., Sukhatme, B.V., Sukhatme, S. and Asok, C. (1984) Sampling Theory of Surveys with Applications. 3rd Edition, Iowa State University Press, Iowa and Indian Society of Agricultural Statistics, New Delhi. |
评论
发表评论