On the performance of the poisson and the negative binomial ridge predictors

KAÇIRANLAR S., Dawoud I.

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, cilt.47, sa.6, ss.1751-1770, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 6
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1080/03610918.2017.1324978
  • Dergi Adı: COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1751-1770
  • Anahtar Kelimeler: Multicollinearity, Monte Carlo simulations, Negative binomial regression predictor, Poisson regression predictor, Prediction mean square error, REGRESSION-ESTIMATORS, LINEAR-REGRESSION
  • Çukurova Üniversitesi Adresli: Evet

Özet

Mansson and Shukur (2011) investigated the performance of the Poisson ridge regression (PRR) estimator in terms of the mean square error (MSE) criterion. Similarly, Mansson (2012) investigated the performance of the Negative binomial ridge regression (NBRR) according to the MSE criterion. But there is no any analysis of the predictive performance of the PRR and NBRR estimators. Therefore, we define the PRR and the NBRR predictors to evaluate their predictive performances according to the prediction mean squared error under the target function. The Monte Carlo simulations and the real life numerical example are conducted to investigate the defined predictors' performance.