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Particle swarm optimization based Liu-type estimator

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ABSTRACT In this study, a new method for the estimation of the shrinkage and biasing parameters of Liu-type estimator is proposed. Because k is kept constant and d is optimized… Click to show full abstract

ABSTRACT In this study, a new method for the estimation of the shrinkage and biasing parameters of Liu-type estimator is proposed. Because k is kept constant and d is optimized in Liu’s method, a (k, d) pair is not guaranteed to be the optimal point in terms of the mean square error of the parameters. The optimum (k, d) pair that minimizes the mean square error, which is a function of the parameters k and d, should be estimated through a simultaneous optimization process rather than through a two-stage process. In this study, by utilizing a different objective function, the parameters k and d are optimized simultaneously with the particle swarm optimization technique.

Keywords: swarm optimization; particle swarm; optimization; liu type; type estimator

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2017

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