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Nonparametric Bayes and empirical Bayes estimation of the population median,with application in finite-population sampling
Authors:Malay Ghosh  Paduthol Godan Sankaran
Affiliation:1. Department of Statistics, University of Florida, Gainesville, Florida, USA;2. Department of Statistics, Cochin University of Science and Technology, Cochin, Kerala, India
Abstract:
ABSTRACT

Nonparametric Bayes and empirical Bayes estimators of the population median are provided under Dirichlet process priors. The finite-population sampling is used to estimate the finite-population median under Dirichlet process priors. The asymptotic properties of the estimators are obtained from a frequentist perspective.
Keywords:Dirichlet process priors  median  nonparametric Bayes estimation  nonparametric empirical Bayes estimation  finite-population sampling
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