Janczura, Joanna and Weron, Rafal (2011): Black swans or dragon kings? A simple test for deviations from the power law. Unpublished.
This is the latest version of this item.
| PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 780Kb |
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 |
|---|---|
| Language: | English |
| Keywords: | black swan; dragon king; outlier; power law; natural disaster; financial crash; price spike |
| Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods: General > C16 - Specific Distributions C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods: General > C12 - Hypothesis Testing 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 |
| ID Code: | 32489 |
| Deposited By: | Rafal Weron |
| Deposited On: | 30. Jul 2011 00:52 |
| Last Modified: | 30. Jul 2011 00:52 |
| 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). Pisarenko, V.F., Rodkin, M.V., Izvestia, Physics of the Solid Earth 44(1) (2008) 1-8. Shaywitz, D.A., Shattering the Bell Curve, The Wall Street Journal, April 24 (2007) D8. 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. |
All papers reproduced by permission. Reproduction and distribution subject to the approval of the copyright owners.
Repository Staff Only: item control page