Forecasting with ARIMA Processes

Author(s):  
William W. S. Wei
Keyword(s):  
2004 ◽  
Vol 25 (4) ◽  
pp. 449-465 ◽  
Author(s):  
Lorenzo Pascual ◽  
Juan Romo ◽  
Esther Ruiz

1986 ◽  
Vol 16 (1) ◽  
pp. 19-31 ◽  
Author(s):  
Jukka Rantala

AbstractThis paper deals with experience rating of claims processes of ARIMA structures. By experience rating we mean that future premiums should be only a function of past values of the claims process. The main emphasis is on demonstrating the usefulness of the control-theoretical approach in the search for optimal rating rules. Optimality is here defined to mean as smooth a flow of premiums as possible when the variation in the accumulated profit is restricted to a certain amount. First it is shown how the underlying model in its simplest form can be transformed into the state-space form. Then the Kalman filter technique is used to find the optimal rules. Also a time delay in information is taken into account. The optimal rules are illustrated by examples.


Biometrika ◽  
1993 ◽  
Vol 80 (3) ◽  
pp. 703-709 ◽  
Author(s):  
MITSUHIRO ODAKI
Keyword(s):  

Biometrics ◽  
1996 ◽  
Vol 52 (2) ◽  
pp. 763 ◽  
Author(s):  
M. O. Grondona ◽  
J. Crossa ◽  
P. N. Fox ◽  
W. H. Pfeiffer

Author(s):  
Xiaoxin Zhu ◽  
Yanyan Wang ◽  
David Regan ◽  
Baiqing Sun

Awareness of the requested quantity and characteristics of emergency supplies is crucial for facilitating an efficient relief operation. With the aim of focusing on the quantitative study of immediate food supplies, this article estimates the numerical autoregressive integrative moving average (ARIMA) model based on the actual data of 14 key commodities in the Sendai City of Japan during the 2011 Tohoku earthquake. Although the temporal patterns of key food commodity groups are qualitatively similar, the results show that they follow different ARIMA processes, with different autoregressive moving averages and difference order patterns. A key finding is that 3 of the 14 items are significantly related to the number of temporary residents in shelters, revealing that the relatively low number of different items makes it easier to deploy these key supplies or develop regional purchase agreements so as to promptly obtain them from distributors.


Author(s):  
Maria-Estrella Sousa-Vieira ◽  
Andrés Suárez-González ◽  
José-Carlos López-Ardao ◽  
Cándido López-García

Sign in / Sign up

Export Citation Format

Share Document