Extreme Events

Atmospheric Science · Part 9

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Table of Contents

  1. 1.Extreme Value Theory (EVT)
  2. 2.Generalized Pareto Distribution for Threshold Exceedances
  3. 3.Event Attribution Science
  4. 4.Heatwaves and Heat Stress
  5. 5.Extreme Precipitation and Clausius-Clapeyron Scaling
  6. 6.Compound Events, Economic Losses, and Nonlinear Responses
  7. 7.Fortran: Monte Carlo Simulation of Extreme Value Statistics
  8. 8.Gumbel ()
  9. 9.Frechet ()
  10. 10.Observational

Key Equations

$$F(x) = \exp\left\{-\left[1 + \xi\left(\frac{x - \mu}{\sigma}\right)\right]^{-1/\xi}\right\}$$
$$H(y) = 1 - \left(1 + \frac{\xi\,y}{\tilde{\sigma}}\right)^{-1/\xi} \qquad y > 0, \;\; \tilde{\sigma} > 0$$
$$\text{FAR} = 1 - \frac{P_0}{P_1}$$
$$e(T) = e_s(T_w) - \gamma \, p \, (T - T_w)$$

Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.

Course Context

This PDF is part of the Atmospheric Science course on CoursesHub.World. Study the physics of weather and climate from atmospheric thermodynamics to planetary atmospheres. Covers atmospheric dynamics, synoptic meteorology, clouds and precipitation, radiation budgets, clima...

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