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Probability mass (P(X=x))

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2026-10-14  NaN By others on same topic  0 Discussions Create my own version
The probability mass at an outcome x is the probability of its singleton, P(X=x). It equals the jump FX​(x)−FX​(x−) of the cumulative distribution function. For a discrete probability distribution these masses form the probability mass function; a continuous probability distribution gives every individual outcome mass zero. Positive probability mass at a point is distinct from the height of a probability density function.

 Incoming links (21)

  • Asymptotic equipartition property
  • Bernoulli typical-set example
  • Beta distribution
  • Central contribution to kurtosis
  • Coupling characterization of total variation distance
  • Credible interval
  • Cumulative hazard function
  • Expected value
  • Kurtosis
  • Logarithmic scoring rule
  • Maximal coupling
  • Probability distribution
  • Probability mass
  • Probability mass function
  • Rare-outlier three-point distribution
  • Simple random walk on the integer line
  • Survival function
  • Tail probability
  • Total variation distance
  • Total variation distance on a finite set
  • Typical-set concentration for a biased coin

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