In this paper we investigate whether the dynamic properties of the U.S. business cycle have changed in the last fifty years. For this purpose we develop a flexible business cycle indicator that is constructed from a moderate set of macroeconomic time series. The coincident economic indicator is...

Within the framework of the Basel III capital regulation, macroprudential authorities may order the accumulation of countercyclical capital buffers in the period when systemic risks are building up. According to recommendations, it is worth setting the size of the capital buffer on the basis of...

To gain insights in the current status of the economy, macroeconomic time series are often decomposed into trend, cycle and irregular components. This can be done by nonparametric band-pass filtering methods in the frequency domain or by model-based decompositions based on autoregressive moving...

D-order processes is a sort of important stochastic processes, it is a class of useful stochastic processes in practices, its study is very value. In this paper, we study 1-order processes using haar wavelet and wavelet transform on R. We study its some properties and wavelet expansion.