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3.5.3.1.27 Wblcdf
Definition:
/math-7546799bc2f4587eb2b3fb9edc2899d4.png?v=0 "prob = wblcdf(x, a, b)")
computes the low tail Weibull cumulative distribution function for value /math-9dd4e461268c8034f5c8564e155c67a6.png?v=0 "x")
using the parameters /math-0cc175b9c0f1b6a831c399e269772661.png?v=0 "a")
and /math-92eb5ffee6ae2fec3ad71c777531578f.png?v=0 "b")
.
The low tail Weibull cumulative distribution function is defined by:
/math-579f63c04a230c1ecbc6375c836f2c65.png?v=0 "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 /math-90e90bbdfbd52a4692898f6ec8cc4d01.png?v=0 "I_{(0,+\infty )}(x)")
is the interval on which the Weibull CDF is not zero.
Parameters:
- x (input, double)
- the value of the variate.
/math-d7b89f725185c1fd9984123cbaa89612.png?v=0 "x\geq 0")
- a (input, double)
- the scale parameter, , of the required Weibull distribution, must be positive(
/math-323c5f97105643bc61e288fe596194ca.png?v=0 "a>0")
). - b (input, double)
- the shape parameter, , of the required Weibull distribution, must be positive (
/math-539fa66a54d60fdbd6278ccebed13ddd.png?v=0 "b>0")
) . - prob (output, double)
- the probability.