Cumulative distribution function
From timescalewiki
Revision as of 17:29, 23 November 2014 by Tom (talk | contribs) (Created page with "Let $\mathbb{T}$ be a time scale. Let $f \colon \mathbb{T} \rightarrow \mathbb{R}$ be a probability density function. The following function is called the cumulative d...")
Let $\mathbb{T}$ be a time scale. Let $f \colon \mathbb{T} \rightarrow \mathbb{R}$ be a probability density function. The following function is called the cumulative distribution function (or cdf) of $f$: $$F(x) = \displaystyle\int_0^x f(t) \Delta t.$$
References
Probability theory on time scales and applications to finance and inequalities by Thomas Matthews
