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arXiv · 1707.01815

Fast and Feasible Estimation of Generalized Linear Models with High-Dimensional k-way Fixed Effects

Amrei Stammann
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Abstract

We present a fast and memory efficient algorithm for the estimation of generalized linear models with an additive separable k-way error component. The brute force approach uses dummy variables to account for the unobserved heterogeneity, but quickly faces computational limits. Thus, we show how a weighted version of the Frisch-Waugh-Lovell theorem combined with the method of alternating projections can be incorporated into a Newton-Raphson algorithm to dramatically reduce the computational costs. The algorithm is especially useful in situations, where generalized linear models with k-way fixed effects based on dummy variables are computationally demanding or even infeasible due to time or memory limitations. In a simulation study and an empirical application we demonstrate the performance of our algorithm.

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Amrei Stammann. 2017-07-06. Fast and Feasible Estimation of Generalized Linear Models with High-Dimensional k-way Fixed Effects. https://arxiv.org/abs/1707.01815

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