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Life Quote by Peter L. Bernstein

“But therein lies the logician's trap: past data from real life constitute a sequence of events rather than a set of independent observations, which is what the laws of probability demand.” quote by Peter L. Bernstein
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““But therein lies the logician's trap: past data from real life constitute a sequence of events rather than a set of independent observations, which is what the laws of probability demand.””

Peter L. Bernstein

About This Quote

Source Book: Against the Gods: The Remarkable Story of Risk, 1996

Statistical models assume independent observations, but real‑world data are sequential events, creating a logical fallacy.

In simple terms: Real data are linked, not independent.

Key Takeaway

Treat data as sequences, not isolated points.

Themes

statistics logic risk probability

Mood

analytical cautious

Type

theoretical practical

When to use this quote

  • financial forecasting
  • machine learning
  • epidemiology
  • policy analysis
  • risk assessment

Key Concepts

causality temporal dependence

Questions to Reflect On

  • How do you account for temporal dependence?
  • What risks arise from treating events as independent?
A Different Perspective

Assuming independence can mislead conclusions.

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