This paper addresses the problem of inferring circulation of information between multiple stochastic processes. We discuss two possible frameworks in which the problem can be studied: directed information theory and Granger causality. The main goal of the paper is to study the connection between these two frameworks. In the case of directed information theory, we stress the importance of Kramer...

Using a sample of province-level panel data, this paper investigates the Granger causality associations among economic growth (GDP), foreign direct investment (FDI) and CO2 emissions in China. By applying the bootstrap Granger panel causality approach (Kónya, 2006), we consider both cross-sectional dependence and homogeneity of different regions in China. The empirical results support that the ...

This paper examines the dynamic relationship between income, energy use and carbon dioxide (CO2) emissions in Malaysia using time-series data during 1975 to 2011. This study also attempts to validate the environmental Kuznet curve (EKC) hypothesis. Applying a multivariate model of income, energy consumption in the transportation sector, carbon emissions, structural change in the economy and ren...

This study looks at the dynamic relationship between the Pakistani equity market and equity markets of Group of Eight countries (G8) which includes Canada, France, Germany, Italy, Japan, Russia, UK and USA by using weekly time series data starting from June 2004 to May 2009. Multivariate Co-integration approach by Johnson and Julius (1990) shows there exists no long-term relationship between th...

This study examines the Granger causality between electricity consumption and Gross Domestic Product (GDP) for Pakistan using annual data covering the period 1971 to 2007. Augmented Dickey-Fuller test and Phillips-Perron test reveal that both the series, after logarithmic transformation, are non-stationary and individually integrated at order one. Engle and Granger Cointegration test exhibits t...

This study aims to evaluate the link between economic growth and consumer price index (CPI) in Japan for the period of 1980-2014. Initial series were adjusted for stationarity using the Augmented Dickey- Fuller (ADF) test for unit root followed by the application of Johansen Co-integration Test in order to examine the long-run relationship among the variables, while the causalities were evaluat...

Granger’s (1969) popular concept of causality, based on work by Weiner (1956), is typically defined in terms of predictability for one period ahead. Recently, Dufour and Renault (1998) generalized the concept to causality at a given horizon h, and causality up to horizon h, where h is a positive integer that can be infinite (1≤h<∞); see also Sims (1980), Hsiao (1982) and Lütkepohl (1993a) for r...