Browse > Article
http://dx.doi.org/10.9709/JKSS.2010.19.3.119

A Study of Applying Bootstrap Method to Seasonal Data  

Park, Jin-Soo (성균관대학교 시스템경영공학과)
Kim, Yun-Bae (성균관대학교 시스템경영공학과)
Abstract
The moving block bootstrap, the stationary bootstrap, and the threshold bootstrap are methods of simulation output analysis, which are applicable to autocorrelated data. These bootstrap methods assume the stationarity of data. However, bootstrap methods cannot work if the stationary assumption is not guaranteed because of seasonality or trends in data. In the simulation output analysis, threshold bootstrap method is the best in describing the autocorrelation structure of original data set. The threshold bootstrap makes the cycle based on threshold value. If we apply the bootstrap to seasonality data, we can get similar accuracy of the results. In this paper, we verify the possibility of applying the bootstrap to seasonal data.
Keywords
Bootstrap; Seasonality; Simulation output analysis;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Park, D., Kim, Y.B., Shin, K.I. and Willemain T.R., "Simulation output analysis using the threshold bootstrap," European Journal of Operational Research, vol. 134, pp. 17-28, 2001.   DOI   ScienceOn
2 Park, D. and TR. Willemain, "The threshold bootstrap and threshold jackknife," Computational Statistics & Data Analysis, vol. 31, pp. 187-202, 1999.   DOI   ScienceOn
3 Hall, P., Horowitz, J. and Jing, B., "On blocking rules for the bootstrap with dependent data," Biometrika, vol. 82, pp. 561-574, 1995.   DOI   ScienceOn
4 Kunsch, H., "The jackknife and the bootstrap for general stationary observations," Annals of Statistics, vol. 17, pp. 1217-1241, 1989.   DOI   ScienceOn
5 Liu, R. and Singh, K., "Moving blocks jackknife and bootstrap capture weak dependence," In: LePage, R., Billard, L. (Eds.), Exploring the Limits of Bootstrap. Wiley, New York, pp. 225-248, 1992.
6 Efron, B., "Bootstrap methods: another look at the jackknife," Annals of Statistics, vol. 7, pp. 1-26, 1979.   DOI   ScienceOn
7 Efron, B. and Tibshirani, R., An introduction to the bootstrap, Chapman & Hall, New York, 1993.
8 Politis, D.N. and Romano, J.P., "The stationary bootstrap," Journal of American Statistics Association. 89, pp. 1303-1313, 1994.   DOI   ScienceOn
9 Wei, W.W.S, Time Series Analysis: Univariate and Multivariate Methods. Addison-Wesley Publishing Company, Inc, 1990.