Changes

In [[probability theory]], a ''cumulative distribution function''  ''F(x)'' of a [[probability density function]] say ''f(x)'' is a real valued and continuous function whose value is the proportion of probability values of a variable which occur on the part of the real line up and including the value of that variable; i.e.,

In [[probability theory]], a '''cumulative distribution function'''  ''F(x)'' of a [[probability density function]] say ''f(x)'' is a real valued and continuous function whose value is the proportion of probability values of a variable which occur on the part of the real line up and including the value of that variable; i.e.,

Considering this definition in light of the fundamental theorem of the [[Integral Calculus]] yields:

Considering this definition in light of the [[Fundamental Theorem of Calculus]] yields:

If the [[domain]] of the variable is [[finite]], then the upper limit in equation (2) above should be the upper bound of the variables [[domain of support]].

If the [[domain]] of the variable is [[finite]], then the upper limit in equation (2) above should be the upper bound of the variables [[domain of support]].

 

[[Category:Probability]]

[[Category:mathematics]]