Janczura, Joanna and Weron, Rafal (2011): Black swans or dragon kings? A simple test for deviations from the power law.
Preview |
PDF
MPRA_paper_28959.pdf Download (613kB) | Preview |
Abstract
We develop a simple test for deviations from power law tails, which is based on the asymptotic properties of the empirical distribution function. We use this test to answer the question whether great natural disasters, financial crashes or electricity price spikes should be classified as dragon kings or 'only' as black swans.
Item Type: | MPRA Paper |
---|---|
Original Title: | Black swans or dragon kings? A simple test for deviations from the power law |
Language: | English |
Keywords: | dragon king, black swan, outlier, power law |
Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C12 - Hypothesis Testing: General Q - Agricultural and Natural Resource Economics ; Environmental and Ecological Economics > Q4 - Energy > Q47 - Energy Forecasting G - Financial Economics > G3 - Corporate Finance and Governance > G32 - Financing Policy ; Financial Risk and Risk Management ; Capital and Ownership Structure ; Value of Firms ; Goodwill |
Item ID: | 28959 |
Depositing User: | Rafal Weron |
Date Deposited: | 18 Feb 2011 20:28 |
Last Modified: | 28 Sep 2019 17:24 |
References: | Bickel, P.J., Doksum, K.A., Mathematical Statistics, 2nd ed. (Prentice Hall, 2001). Borgan, Ø., Kaplan-Meier estimator, in Encyclopedia of Biostatistics, eds. P. Armitage, T. Colton (Wiley, 1998). Bottazzi, G., Sapio, S., Secchi, A., Physica A 355 (2005) 54-61. Burnecki, K., Weron, R., Visualization Tools for Insurance Risk Processes. In Handbook of Data Visualization, eds. Ch. Chen, W. Hardle, A. Unwin (Springer, 2008) 899-920. Bystrom, H.N.E., International Review of Economics and Finance 14 (2005) 41-55. Cartea, A., Figueroa, M., Geman, H., Applied Mathematical Finance 16(2) (2009) 103-122. Chernobai, A., Burnecki, K., Rachev, S.T., Truck, S.,Weron, R., Computational Statistics 21 (2006) 537-555. Cizek, P., Hardle, W., Weron, R. (eds.), Statistical Tools for Finance and Insurance, 2nd ed. (Springer, 2011). Eydeland, A., Wolyniec, K., Energy and Power Risk Management (Wiley, 2003). Hardle, W., Lopez Cabrera, B., Journal of Risk and Insurance 77 (2010) 625-650. Janczura, J., Weron, R., Energy Economics 32(5) (2010) 1059-1073. Johansen, A., Sornette, D., Journal of Risk 4(2) (2001) 69-110. Klein, J.P., Moeschberger, M.L., Survival Analysis (Springer, 2003). Klugman, S.A., Panjer, H.H., Willmot, G.E., Loss Models: From Data to Decisions, 3rd ed. (Wiley, 2008). Paolella, M.S., Intermediate Probability: A Computational Approach (Wiley, 2007). Sornette, D., International Journal of Terraspace Science and Engineering 2 (2009) 1-18. Taleb, N.N., The Black Swan: The Impact of the Highly Improbable (Random House, 2007). Truck, S., Weron, R., Wolff, R., Bulletin of the International Statistical Institute 62, 1524. Available at MPRA: http://mpra.ub.uni-muenchen.de/4711/. Weron, R., Modeling and Forecasting Electricity Loads and Prices: A Statistical Approach (Wiley, 2006). Weron, R., Mathematical Methods of Operations Research 69(3) (2009) 457-473. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/28959 |
Available Versions of this Item
- Black swans or dragon kings? A simple test for deviations from the power law. (deposited 18 Feb 2011 20:28) [Currently Displayed]