Editing Extreme Value Theory (section)

== <span style="color: #FFFFFF;">Applying</span> ==
'''Modeling 'The Return Period' (Calculating how likely a disaster is this year):'''
<syntaxhighlight lang="python">
def calculate_disaster_risk(return_period_years, years_of_operation):
    """
    Shows why 'Rare' events become 'Certain' over long times.
    """
    # Chance of NOT happening in 1 year
    p_safe_year = 1 - (1 / return_period_years)
    
    # Chance of NOT happening in N years
    p_safe_total = p_safe_year ** years_of_operation
    
    # Chance of HAPPENING at least once
    p_disaster = 1 - p_safe_total
    
    return {
        "Disaster Type": f"{return_period_years}-Year Event",
        "Time Frame": f"{years_of_operation} years",
        "Probability of Hit": f"{round(p_disaster * 100, 2)}%"
    }

# Case: A '100-Year Flood' and a house that stands for 30 years
print(calculate_disaster_risk(100, 30))
# Case: A '500-Year Event' and a nuclear plant that stands for 50 years
print(calculate_disaster_risk(500, 50))
</syntaxhighlight>

; EVT Landmarks
: '''The Dutch Flood Protection (Delta Works)''' → The ultimate EVT project. After a massive flood in 1953, the Netherlands built "Dams" designed for a "1-in-10,000-Year" extreme event using EVT math.
: '''The 'October 1987' Crash''' → A "20-Sigma" event that destroyed most financial models of the time, proving that "Fat Tails" are real and that "Extreme Value math" is needed for banking.
: '''Climate Change 'Records'''' → Why is "Every year the hottest on record"? EVT helps us distinguish between "Natural extreme swings" and a "Shifting distribution" (the whole tail is moving).
: '''The 'Tower' Design''' → How the Burj Khalifa or the Eiffel Tower survive "Extreme Winds"—engineers use EVT to find the "Maximum probable gust" over the next 200 years.
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