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A Class of Ratio Cum Product‐Type Estimator in Double Sampling
Author(s) -
Sisodia B. V. S.,
Dwivedi V. K.
Publication year - 1982
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710240416
Subject(s) - minimum variance unbiased estimator , estimator , mathematics , efficient estimator , invariant estimator , trimmed estimator , bias of an estimator , stein's unbiased risk estimate , consistent estimator , statistics , mean squared error , minimax estimator , ratio estimator
A class of ratio cum product‐type estimator is proposed in case of double sampling in the present paper. Its bias and variance to the first order of approximation are obtained. For an appropriate weight ‘ a ’ and a good range of α‐values, it is found that the proposed estimator is more efficient than the set of estimator viz., simple mean estimator, usual ratio and product estimators, S RIVASTAVA 's estimator (1967), C HAKARBARTY 's estimator and product‐type estimator, which are in fact the particular cases of it. The proposed estimator is as efficient as linear regression estimator in double sampling at optimum value of α.