We propose autocorrelation-robust asymptotic variances of the Brier score and Brier skill score, which are generally applicable in circumstances with weak serial correlation. An empirical application in macroeconomics underscores the importance of taking care of serial correlation. We find that...

We derive autocorrelation-robust asymptotic variances of the Brier score and Brier skill score, which are generally applicable in circumstances with weak serial correlation. A simulation experiment and an empirical application from macroeconomics underscore the importance of taking care of...

We focus on the testing of a unit root in the integer-valued autoregression of order one. Finite sample distributions for a Dickey-Fuller test of a random walk with drift with Poisson distributed and, hence, skewed errors are obtained by Monte Carlo simulation

Estimating Limited Dependent Variable Time Series models through standard extremum methods can be a daunting computational task because of the need for integration of high order multiple integrals and/or numerical optimization of difficult objective functions. This paper proposes a classical...

As practitioners, we are not aware of the models that construct the datasets we study. We often rely on intuition to determine which model to choose. This white-paper takes a look at a penitential pitfall: What happens when we use a different model from the actual model generation process?

A test for serial independence is proposed which is related to the BDS test but focuses on tail event probabilities rather than probabilities near the center of the distribution. The motivation behind this approach is to obtain a test more suitable for detecting structure in the tails, such as...

Testing and estimating the rank of a matrix of estimated parameters is key in a large variety of econometric modelling scenarios. This paper describes general methods to test for and estimate the rank of a matrix, and provides details on a variety of modelling scenarios in the econometrics...

This note shows that German real GDP follows a trend-stationary process. Both tests which have trend-stationarity as the alternative hypothesis as well as tests that have it under the null hypothesis prefer the trend-stationary model. Explicit consideration of breaks in the trend is not...

This paper is concerned with testing the time series implications of the capital asset pricing model (CAPM) due to Sharpe (1964) and Lintner (1965), when the number of securities, N, is large relative to the time dimension, T, of the return series. In the case of cross-sectionally correlated...

Testing the rank of a matrix of estimated parameters is key in a large variety of econometric modelling scenarios. This paper describes general methods to test for the rank of a matrix, and provides details on a variety of modelling scenarios in the econometrics literature where these tests are...