This article defines the Autoregressive Fractional Unit Root Integrated Moving Average (ARFURIMA) model for modelling … ARFURIMA model is examined through a Monte Carlo simulation. Also, some applications were presented using the energy series … suggest that the ARFURIMA model should be applied if the studied data show a type of ILM process with a degree of fractional …

This article defines the Autoregressive Fractional Unit Root Integrated Moving Average (ARFURIMA) model for modelling … ILM time series with fractional difference value in the interval of 1൏𝑑൏2. The performance of the ARFURIMA model is … the ARFURIMA model should be applied if the studied data show a type of ILM process with a degree of fractional difference …