📜 Theorem, law or theory

Hoeffding's inequality

Desigualdad de Hoeffding

Date
1963 · confidence high
Place
Chapel Hill, North Carolina, United States
Credited to
Wassily Hoeffding
Field
Knowledge & symbols

What was discovered

Upper bound on the probability that the sum of bounded independent random variables deviates from its expected value by more than a given amount; proved by Wassily Hoeffding in 1963.

What it led to

  • Statistical learning theory (PAC learning)
  • Analysis of randomized algorithms
  • Generalization bounds in machine learning
  • The Azuma–Hoeffding and McDiarmid inequalities as generalizations

Links

Sources✓ verified 2026-09-28