Particle swarm optimization based Liu-type estimator

İNAN D., EĞRİOĞLU E., Sarica B., AŞKIN Ö. E., TEZ M.

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, cilt.46, sa.22, ss.11358-11369, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 22
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1080/03610926.2016.1267759
  • Dergi Adı: COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.11358-11369
  • Anahtar Kelimeler: Collinearity, Linear regression, Liu-type estimator, Particle swarm optimization, Ridge regression estimator, RIDGE REGRESSION
  • Marmara Üniversitesi Adresli: Evet

Özet

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.