Wblcdf

Definition:

$prob = wblcdf(x, a, b)$ computes the low tail Weibull cumulative distribution function for value $x$ using the parameters $a$ and $b$ .

The low tail Weibull cumulative distribution function is defined by: $P(X<x|a,b)=\int_0^xba^{-b}t^{b-1}e^{-(\frac ta)^b}dt=1-e^{-(\frac xa)^b}I_{(0,+\infty )}(x)$

where $I_{(0,+\infty )}(x)$ is the interval on which the Weibull CDF is not zero.

Parameters:

x (input, double): the value of the $x$ variate. $x\geq 0$
a (input, double): the scale parameter, $a$ , of the required Weibull distribution, must be positive( $a>0$ ).
b (input, double): the shape parameter, $b$ , of the required Weibull distribution, must be positive ( $b>0$ ) .
prob (output, double): the probability.

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Cumulative Distribution Functions (CDF)

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