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A Bayesian Approach to Cluster Sampling Under Simple Random Sampling

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Advances in Statistics - Theory and Applications

Part of the book series: Emerging Topics in Statistics and Biostatistics ((ETSB))

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Abstract

Two-stage cluster sampling arises when units in the population belong to groups or clusters, and drawing a sample must proceed in two stages. First, a subset of the clusters is chosen, and then within the selected clusters, a subset of the units within a cluster is selected. When there is little available prior information about the population, simple random sampling without replacement is often used at both stages, and the ratio estimate is used to estimate the population total. Here, we will compare this estimate with two Bayesian alternatives and see that the Bayesian estimators are a slight improvement over the standard method.

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Correspondence to Glen Meeden .

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Soma, M., Meeden, G. (2021). A Bayesian Approach to Cluster Sampling Under Simple Random Sampling. In: Ghosh, I., Balakrishnan, N., Ng, H.K.T. (eds) Advances in Statistics - Theory and Applications. Emerging Topics in Statistics and Biostatistics . Springer, Cham. https://doi.org/10.1007/978-3-030-62900-7_14

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