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TOPIC:
ROBUST QUANTILE FACTOR MODELS
ABSTRACT
In factor model analysis strong factors are commonly assumed. There has some progress made in the literature in allowing for weaker factors/loadings, in which case some specific structure is imposed on the strength of the factors/loadings. In this paper we consider quantile regression of factor models with possibly very weak factors, without imposing a similar structure. We establish large sample properties of our estimator, and our estimator performs well in finite samples.