Analysis of Extreme Values of Daily Percentage Increases and Decreases in Crude Oil Spot Prices

- Journal title : Korean Journal of Applied Statistics
- Volume 23, Issue 5, 2010, pp.835-844
- Publisher : The Korean Statistical Society
- DOI : 10.5351/KJAS.2010.23.5.835

Title & Authors

Analysis of Extreme Values of Daily Percentage Increases and Decreases in Crude Oil Spot Prices

Yun, Seok-Hoon;

Yun, Seok-Hoon;

Abstract

Tools for statistical analysis of extreme values include the classical annual maximum method, the modern threshold method and variants improving the second one. While the annual maximum method is to t th generalized extreme value distribution to the annual maxima of a time series, the threshold method is to the generalized Pareto distribution to the excesses over a high threshold from the series. In this paper we deal with the Poisson-GPD method, a variant of the threshold method with a further assumption that the total number of exceedances follows the Poisson distribution, and apply it to the daily percentage increases and decreases computed from the spot prices of West Texas Intermediate, which were collected from January 4th, 1988 until December 31st, 2009. According to this analysis, the distribution of daily percentage increases as well as decreases turns out to have a heavy tail, unlike the normal distribution, which coincides well with the general phenomenon appearing in the analysis of lots of nowaday nancial data.

Keywords

Extreme value theory;Poisson-GPD method;crude oil spot price;West Texas Intermediate;

Language

Korean

Cited by

2.

정상시계열에서의 극단값 모형 및 다우존스산업평균지수에의 응용,윤석훈;

Journal of the Korean Data Analysis Society, 2012. vol.14. 5, pp.2487-2497

References

1.

윤석훈 (2009). 원/달러 환율 투자 손실률에 대한 극단분위수 추정, <한국통계학회논문집>, 16, 803-812.

2.

Davison, A. C. and Smith, R. L. (1990). Models for exceedances over high thresholds (with discussion), Journal of the Royal Statistical Society, Series B, 52, 393-442.

3.

Engdahl, F. W. (2008). See http://www.engdahl.oilgeopolitics.net/Financial_Tsunami/Oil_, Specula-tion/oil_speculation.HTM.

4.

Fisher, R. A. and Tippett, L. H. C. (1928). Limiting forms of the frequency distribution of the largest or smallest member of a sample, Proceedings of the Cambridge Philosophical Society, 24, 180-190.

5.

Gnedenko, B. V. (1943). Sur la distribution limite du terme maximum d'une serie aleatoire, Annals of Mathematics, 44, 423-453.

6.

Gumbel, E. J. (1958). Statistics of Extremes, Columbia University Press, New York.

7.

Pickands, J. (1975). Statistical inference using extreme order statistics, Annals of Statistics, 3, 119-131.

8.

Smith, R. L. (1989). Extreme value analysis of environmental time series: An application to trend detection in ground-level ozone (with discussion), Statistical Science, 4, 367-393.

9.

von Mises, R. (1936). La distribution de la plus grande de n valeurs, Reprinted in Selected Papers II, American Mathematical Society, Providence, R.I. (1954), 271-294.