ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
▼ Deduction system
▼ Theory
▼ Zermelo-Fraenkel set theory
▼ Set
▼ Subset
▼ Power set
▼ Hyperpower set sequence
▼ Hyperpower set
▼ Hypersubset
▼ Subset algebra
▼ Subset structure
▼ Measurable space
▼ Measure space
▼ Pushforward measure
▼ Distribution measure
▼ Probability distribution measure
▼ Probability distribution function
Definition D5074
Empirical probability distribution function
Results
▶ Empirical distribution function converges in probability to the true distribution function
▶ Empirical probability distribution function is an unbiased estimator of the true distribution function
▶ Real empirical probability distribution function converges pointwise to the true distribution function