ARIMA

Autoregressive Integrated Moving Average Model (ARIMA) ... 

Harada, M., Arima, K., Eguchi, W. and Nagata, S., 1962. Micromixing in a continuous flow reactor. Memoir of the Faculty of Engineering, Kyoto University, Japan, 24, 431. 

T. Irisawa, Y. Arima, T. Kuroda. Periodic changes in the structure of a surface growing under MBE conditions. J Cryst Growth 99 491-495, 1990. 

Arima, H. Tamazawa, K. J. Labelled Compd. Radiopharm. (JLCRD4) 22, 1217 (1985). alternative synthesis ... 

A general approach was developed by G.E.P. Box and G.M. Jenkins (S) which combines these various methods into an analysis which permits choice of the most appropriate model, checks the forecast precision, and allows for interpretation. The Box-Jenkins analysis is an autoregressive integrated moving average model (ARIMA). This approach, as implemented in the MINITAB computer program is one used for the analyses reported here. 

The ARIMA analysis evaluates the autocorrelation functions to determine the order of the appropriate moving average and the need for differencing. An appropriate model is chosen and the fit to the data is constructed followed by a careful analysis of the residuals. The parameters are adjusted and the fit is checked again. The process is applied iteratively until the errors are minimized or the model fails to converge. 

Summary of Model Process. The basic steps in building an ARIMA model are the following ... 

The values of the three electrochemical measurements, potential, resistance, and current were measured for the four coatings over time. The resultant time series for each measurement and coating combination were analyzed by the Box-Jenkins ARIMA procedure. Application of the ARIMA model will be demonstrated for the poly(urethane) coating. Similar prediction results were obtained for all coatings and measurements, however, not all systems were modeled by the same order of ARIMA process. 

Calculation of Model. Examination of Figs. 1 and 2 suggest the initial choice of p=l for the autoregression part, and the use of 1st differences, i.e. an ARIMA (1 1 0) model. The potential vs. time data was fit using this model. 

The application of time series techniques to electrochemical data is promising. It is possible to use the ARIMA analysis to study the behavior of a single coating system. It is also possible to use time series analysis to rank coatings with respect to the properties under study. 

Kawashima, T., Arima, A., Hatakeyama, N., Tominaga, N., Ando, M. Nippon Kagaku Kaishi 10, 1542(1980) Anal. Abstr., 4J97... 

Base-metal (Pb, Zn, Cu) mineralizations were reported from Okuaizu, Nigorikawa, Arima and Ibusuki geothermal areas as scale products and precipitates from hot springs. Gold precipitations from hot springs are known from the Osorezan volcano and Beppu. 

Arima hot springs are located at middle Honshu. The geology of this area is composed of upper Cretaceous, and Paleogene granitic rocks. 

The Arima hot spring waters are classified into three types (1) Na-Ca-Cl type brine which is high in salinity and CO2 and medium to low in temperature (2) highly saline Na-Ca-Cl-type water of high temperature and low CO2 concentration and (3) dilute and C02-rich water of low temperature (Table 2.8). 

Fig. 2.22. Relationship between 8 0 and Cl concentration of Arima, Ishibotoke, and Takarazuka brines (Sakai and Matsubaya, 1974).

Masuda, M., Sakai, H., Chiba, H., Matsuhisa, Y. and Nakamura, T. (1986) Stable isotopic and mineralogical studies of hydrothermal alteration at Arima Spa, Southwest Japan. Geochim. Cosmochim. Acta, 50, 19-28. 

Nakamura, H. and Maeda, K. (1961) Thermal waters and hydrothermal activities in Arima hot spring area, Hyogo Prefecture (Japan). Japan Geol Surv. Bull, 12, AKl-VJl. 

Hirata H, Arima M, Cheng G, et al. Production of TARC and MDC by naive T cells in asthmatic padents. J Clin Immunol 2003 23(l) 34-45. 

Ando T, Hase T, Arima R, Uchiyama M (1988) Agric Biol Chem 52 473-478... 

Arima R, Takahara K, Kadoshima T, Numazaki F.Ando T, Uchiyama M,Nagasawa H, Kitamura A, Suzuki A (1991) Appl Entomol Zool 26 137... 

Yusuke Arima, Koichi Kato, Yuji Teramura, and Hiroo Iwata... 

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