Black Swans and the Domains of Statistics

Key Points

• This work examines the limitations of statistics when applied in uncertain conditions, focusing on critical failures and implications.
• Analyzes a specific set of circumstances where statistics and their practitioners may falter.
• Utilizes case examples to illustrate the impact of black swan events on statistical practices.
• Highlights significant shortcomings in traditional statistical methodologies under rare but impactful conditions.
• Suggests implications for statisticians and users of statistics in assessing risk and uncertainty.