In this article, first we obtained the correct mean square error expression of Gupta and Shabbir’s linear weighted estimator of the ratio of two population proportions. Later we suggested the general class of ratio estimators of two population proportions. The usual ratio estimator, Wynn-type estimator, Singh, Singh, and Kaur difference-type estimator, and Gupta and Shabbir estimator have been found to be members of the suggested class.
CochranW. G.1977. Sampling Techniques. 3rd ed. New York: John Wiley.
2.
GuptaS.ShabbirJ.. 2008. “On Estimating the Ratio of Proportions of Two Categories of a Population Using Auxiliary Information.” Journal of the Indian Society of Agricultural Statistics62:149–55.
3.
LuiK. J.1990. “Modified Product Estimators of Finite Population Mean in Finite Sampling.” Communications in Statistics–Theory and Methods19:3799–807.
4.
MurthyM. N.1967. Sampling: Theory and Methods. Calcutta, India: Statistical Publishing Society.
5.
RaoT. J.1977. “Optimum Allocation of Sample Size and Prior Distributions.” International Statistical Review25:173–79.
6.
SinghG.SinghR. K.KaurP.. 1986. “Estimating Ratio of Proportion Using Auxiliary Information.” Biometrical Journal28:637–43.
7.
SrivastavaS. K.1967. “An Estimator Using Auxiliary Information in Sample Surveys.” Bulletin/Calcutta Statistical Association Bulletin16:62–63.
8.
WynnH. P.1976. “An Unbiased Estimator in a Proportion.” The Statistician25:225–28.