Empirical Bayes Estimation in Multiple Linear Regression with Multivariate Skew-Normal Distribution as Prior

Authors

  • Mohsen Khounsiavash
  • Taban Baghfalaki
  • Mojtaba Ganjali

DOI:

https://doi.org/10.30495/jme.v0i0.87

Keywords:

Multivariate skew-normal distribution, multivariate closed skew-normal distribution, empirical bayes estimation, bayesian regression.

Abstract

We develop a new empirical Bayes analysis in multiple regression models. In the present work we consider multivariate skewnormal as prior for coefficients of the model in a skew-normal population and give empirical Bayes estimation for parameters of the model. The marginal distribution of response is found to be a closed skew-normal distribution. The empirical Bayes estimator is found in a closed form and the model is applied on a data set.

Author Biographies

Mohsen Khounsiavash

Department of Statistics Ph.D Student Islamic Azad University-Science and Research Branch Tehran, Iran

Taban Baghfalaki

Department of Statistics Ph.D Student Shahid Beheshti University Tehran, Iran

Mojtaba Ganjali

Department of Statistics Professor Shahid Beheshti University Tehran, Iran

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Published

2011-05-02

Issue

Section

Vol. 5, No. 2(2), (2011)