3.5.3.2.24 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.