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Activity Number: 126
Type: Invited
Date/Time: Monday, August 7, 2006 : 10:30 AM to 12:20 PM
Sponsor: JASA, Theory and Methods
Abstract - #304906
Title: Quantile Autoregression
Author(s): Roger Koenker*+
Companies: University of Illinois
Address: , Champaign, IL, 61820,
Keywords: quantile regression ; random coefficient ; autoregressive model
Abstract:

We consider quantile autoregression (QAR) models in which the autoregressive coefficients can be expressed as monotone functions of a single, scalar random variable. The models can capture systematic influences of conditioning variables on the location, scale, and shape of the conditional distribution of the response, and therefore constitute a significant extension of classical constant coefficient linear time series models in which the effect of conditioning is confined to a location shift. The models may be interpreted as a special case of the general random coefficient autoregression model with strongly dependent coefficients. Statistical properties of the proposed model and associated estimators and inference methods are studied. Empirical applications of the model to the U.S. unemployment rate and U.S. gasoline prices highlight the potential of the model.


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