Yashpal Singh Raghav, Rajesh Singh, Rohan Mishra, Abdullah Ali H. Ahmadini, Nitesh Kumar Adichwal, Irfan Ali
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引用次数: 0
Abstract
In survey sampling, it might happen that information on the population mean of the auxiliary variable is not available, but it can be obtained if the researcher opts for it. The sampling design to be used in such a case is the Two-Phase sampling design. This design has been studied extensively in SRSWOR, but it has not been studied when the population under study is rare or clumped. It is known that when the population under study is rare or clumped, adaptive cluster sampling (ACS) design is more efficient, and therefore in this paper we have proposed the Two-Phase Adaptive Cluster Sampling Under Transformed Population Approach and further proposed ratio and product estimator and a generalized robust ratio type estimator in this design. The bias and MSE of the proposed estimators have been derived and presented up to the first order of approximation. Further, the performance of the proposed estimators has been analyzed using simulation studies.
期刊介绍：
Lobachevskii Journal of Mathematics is an international peer reviewed journal published in collaboration with the Russian Academy of Sciences and Kazan Federal University. The journal covers mathematical topics associated with the name of famous Russian mathematician Nikolai Lobachevsky (Lobachevskii). The journal publishes research articles on geometry and topology, algebra, complex analysis, functional analysis, differential equations and mathematical physics, probability theory and stochastic processes, computational mathematics, mathematical modeling, numerical methods and program complexes, computer science, optimal control, and theory of algorithms as well as applied mathematics. The journal welcomes manuscripts from all countries in the English language.
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