📜 Theorem, law or theory

Chernoff bound

Cotas de Chernoff

Date
1952 · confidence high
Place
Stanford, California, United States
Credited to
Herman Chernoff
Field
Knowledge & symbols

What was discovered

An exponentially decreasing upper bound on the tail probability of a random variable, derived from its moment generating function, described by Herman Chernoff, who himself attributed it to Herman Rubin.

What it led to

  • standard tool in probability and statistics for bounding tail probabilities
  • widespread use in analyzing randomized algorithms in computer science
  • applications in information theory and machine learning
  • basis for tighter bounds on sums of independent variables

Links

Sources✓ verified 2026-09-28