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Global Risk Factor Theory and Risk Scenario Generation Based on the Rogov-Causality Test of Time Series Time-Warped Longest Common Subsequence

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Abstract

The paper is concerned with the global risk factor theory and the Rogov-causality test of time-warped longest common subsequence for risk management purposes, including the prospects of hedging and portfolio diversification of operational risks. The author discusses the interaction of all types of risk, the role of human error and the effect of space weather (geomagnetic activity taking into account the interplanetary magnetic field (IMF) polarity). The RogovIndex© family of global risk factor indices is described as part of the risk indicator time series database. The paper discusses the apparatus of time series data, mining including hierarchical clustering based on time-warped longest common subsequence similarity (T-WLCSS). The Rogov-causality test is offered for risk scenario generation. The test involves analyzing the time-lag cumulative distribution function for the longest common subsequence of time series.

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Notes

  1. 1.

    Prior to the incident, there had been a change in the storm-time variation index Dst (a space weather indicator) by 43 nT over a period from 4.00 p.m. (local time) on December 19, 2005 to 6.00 a.m. on December 20, 2005. Although this was, of course, only an increment of variation rather than an absolute value, one should keep in mind that a variation level of −50 nT is equivalent to a mild storm rated on the National Oceanic and Atmospheric Administration (NOAA) geomagnetic storm scales as a G1 (such geomagnetic storms sometimes affect the start of animal migration, cause fluctuations in electric power systems, etc.).

  2. 2.

    To avoid misinterpreting the term “Rogov-causality,” one should bear in mind that the presence of Rogov-causality does not mean the existence of a proven cause-effect relationship, but rather characterizes the temporality (the existence of prevailing succession of events in time).

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Correspondence to Mikhail Rogov .

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Rogov, M. (2015). Global Risk Factor Theory and Risk Scenario Generation Based on the Rogov-Causality Test of Time Series Time-Warped Longest Common Subsequence. In: Bera, A., Ivliev, S., Lillo, F. (eds) Financial Econometrics and Empirical Market Microstructure. Springer, Cham. https://doi.org/10.1007/978-3-319-09946-0_18

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