Open AccessA Note on the Hierarchical Model and Power Prior Distribution in Bayesian Quantile Regression
Author(s) -
طاهر ريسان دخيل
Publication year - 2014
Publication title -
mağallaẗ al-ʿulūm al-iqtiṣādiyyaẗ wa-al-idāriyyaẗ
Language(s) - English
Resource type - Journals
eISSN - 2518-5764
pISSN - 2227-703X
DOI - 10.33095/jeas.v20i76.690
Subject(s) - quantile regression , quantile , hierarchical database model , bayesian probability , multilevel model , econometrics , statistics , mathematics , regression analysis , computer science , data mining
In this paper, we investigate the connection between the hierarchical models and the power prior distribution in quantile regression (QReg). Under specific quantile, we develop an expression for the power parameter ( ) to calibrate the power prior distribution for quantile regression to a corresponding hierarchical model. In addition, we estimate the relation between the and the quantile level via hierarchical model. Our proposed methodology is illustrated with real data example.