Applications to probability and statistics
Bounded Variation Functions

Article REF: AF109 V1

Applications to probability and statistics
Bounded Variation Functions

Author : Jean-Charles PINOLI

Publication date: May 10, 2025 | Lire en français

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13. Applications to probability and statistics

13.1 Distribution functions

The distribution function, or cumulative distribution function, of a real random variable $\tilde{x}$ is the function $F_{\tilde{x}}$ which, for any real number x, associates the probability that the real random variable $\tilde{x}$ takes a value less than...

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Bibliography

(1) - ALBERTI (G.), MANTEGAZZA (C.) - A Note on the Theory of SBV Functions, - Bollettino Unione Matematica Italiana Sezione B, Vol. 7, n° 11, pp. 375-382 (1997).
(2) - AMBROSIO (L.) - Metric space valued functions with bounded variation, -...

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