AN ESTIMATOR FOR MEAN OF STRATIFIED POPULATION USING KNOWN COEFFICIENT OF SKEWNESS
B.BHASKARA RAMA SARMA1 and S.V.N.L.LALITHA2
1. Faculty of Mathematics, BRS Classes, #2-284, Vivekananda Street, Hanumannagar, Ramavarappadu, Vijayawada, A.P-521108;
2. Faculty of EEE, K.L.E.F University, Vaddeswaram, Guntur (Dist.), A.P
In estimating the parameters of a population if one can sacrifice the property of unbiasedness,better estimators in view of minimum mean squared error(MMSE) can be obtained.Estimators for Population mean using known coefficient of variation were proposed by Searles (1964), Srivastava(1974), Upadhyaya and srivastava (1976). Present Author has constructed an estimator for mean of stratified population using Searles approach in a different paper. In the present investigation Srivastava’s method is used to construct such an estimator t*.The advantage of this method is that it works without the actual knowledge of population co-efficient of variation. Instead ,it presumes the knowledge of co-efficient of skewness of the data and an interval of c.v. The large sample properties of proposed estimator are studied in detail. Larger gains are observed in efficiencies for small sample sizes.
International eJournal of Mathematics and Engineering
Volume 1, Issue 1II, Pages: 364 - 371