In this tutorial we introduce recurrent neural networks (RNNs), and we describe the two most popular RNN architectures. These are the long short-term memory (LSTM) network and gated recurrent unit (GRU) network. Their common field of application is time series modeling, and we demonstrate their...

This paper evaluates the out-of-sample performance of two stochastic models used to forecast age specific mortality rates: (1) the model proposed by Lee and Carter (1992); and (2) a set of univariate autoregressions linked together by a common residual covariance matrix (Denton, Feavor, and...

In this paper we study the effect of institutional reform on the decision to hold risky assets at the extensive and the intensive margin. We therefore make use of the natural experiment of German Division and Reunification and, based on savings bank customer data from German savings banks, study...

Economic behavior as well as economic resources of individuals vary with age. Swedish time series show that the age structure of the population contains information correlated to medium-term trends in growth, inflation and other macroeconomic data. GDP gaps estimated by age structure regressions...

The prototypical Lee-Carter mortality model is characterized by a single common time factor that loads differently across age groups. In this paper, we propose a parametric factor model for the term structure of mortality where multiple factors are designed to influence the age groups...

This paper performs a comparative analysis of estimation as well as of out-of-sample forecasting results of more than 20 estimators common in the panel data literature using the data on migration to Germany from 18 source countries in the period 1967-2001. Our results suggest that the choice of...