Risk aggregation and Extreme Events [8]

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Bullet points include: Fat tails involve deviation from Normality, so some higher cumulants (moments), aka semi-invariants, e.g. skew and (excess) kurtosis, deviate from zero (Normality) Cornish-Fisher asymptotic expansion (4th moment version) regularly appears in risk management literature. Estimates distributional form from first 4 moments, but can overstate fat-tailed behaviour in tails Involves estimating standardised QQ-plot via a cubic equation:

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