This paper examines the stochastic behaviour of the number of earthquakes (in total and also classified by magnitude) and stock market log prices and returns in the case of Japan over the period from January 2009 to February 2024 using fractional integration methods. Their linkages are then...

We propose in this article a general time series model, whose components are modelled in terms of fractionally integrated processes. This specification allows us to consider the trend, the seasonal and the cyclical components as stochastic processes, including the unit root models as particular...