Akito Arima (1930–2020)

Fractional ARIMA Processes and Its

The Identi cation ofFractional ARIMA

For the fractional ARIMA model, we demonstrate that wrong model speciication might lead to serious problems of inference in nite samples. We assess the performance of various model selection criteria when the true model is fractionally integrated and the alternatives of interest are ARMA and fractional ARIMA models. The likelihood of successful identiication increases substantially with rising ...

IMSL TM Auto _ ARIMA An In - Depth Look at the Auto _ ARIMA Function and its Constituents

An in-depth look at the Auto_ARIMA function and its constituents with an application to financial data. Visual Numerics, Inc., makes no warranty of any kind with regard to this material, included, but not limited to, the implied warranties of merchantability and fitness for a particular purpose. Visual Numerics, Inc., shall not be liable for errors contained herein or for incidental, consequent...

Forecasting irish inflation using ARIMA models

This paper outlines the practical steps which need to be undertaken to use autoregressive integrated moving average (ARIMA) time series models for forecasting Irish inflation. A framework for ARIMA forecasting is drawn up. It considers two alternative approaches to the issue of identifying ARIMA models the Box Jenkins approach and the objective penalty function methods. The emphasis is on forec...

Electricity price forecasting – ARIMA model approach

Electricity price forecasting is becoming more important in everyday business of power utilities. Good forecasting models can increase effectiveness of producers and buyers playing roles in electricity market. Price is also a very important element in investment planning process. This paper presents a forecasting technique to model day-ahead spot price using well known ARIMA model to analyze an...