This study is an extended version of the work published in Kumar
and Vishwakarma (Proceedings of the National Academy of Sciences, India,
Section A: Physical Sciences, 90(5): 933-939, 2020). The present study provides
theoretical, as well as empirical, investigations of various sample allocation
strategies for the estimation of population mean in stratified random sampling.
The mathematical expressions for mean square errors (MSEs) of several
well-known estimators of population mean are derived under the various
allocation schemes considered under investigation. The pre-existing estimators
are compared with that of the proposed classes of estimators using the MSE
criterion, and the necessary and sufficient conditions (NASCs) for the
dominance of proposed classes of estimators are revealed. Furthermore, the
empirical results of the study exhibit the superiority of Neyman allocation
scheme over the Equal and Proportional allocation schemes for the considered
estimators.
Author(s)
Details
Manish
Kumar
Department of Agricultural Statistics, A.N.D.U.A.T,
Ayodhya-224229, India.
Gajendra
K. Vishwakarma
Department of Mathematics and Computing, I.I.T (I.S.M),
Dhanbad-826004, India.
Please see the book here:- https://doi.org/10.9734/bpi/mcscd/v1/993
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