Chapter 11: Probability Distribution Functions and Inverses

WBLIN

This function evaluates the inverse of the Weibull cumulative distribution function.

Function Return Value

WBLIN — Function value, the value of the inverse of the Weibull cumulative distribution distribution function.   (Output)

Required Arguments

P — Probability for which the inverse of the Weibull cumulative distribution function is to be evaluated.   (Input)

A — Scale parameter.   (Input)

B — Shape parameter.   (Input)

FORTRAN 90 Interface

Generic:                              WBLIN (P, A, B)

Specific:                             The specific interface names are S_WBLIN and D_WBLIN.

FORTRAN 77 Interface

Single:                                WBLIN (P, A, B)

Double:                              The double precision name is DWBLIN.

Description

The function WBLIN evaluates the inverse distribution function of a Weibull random variable with scale parameter A and shape parameter B.

Example

In this example, we evaluate the inverse probability function at P = 0.8946, A = 1.0, B = 2.0.

 

      USE UMACH_INT
      USE WBLIN_INT
      IMPLICIT NONE

      INTEGER NOUT

      REAL X, A, B, P

      CALL UMACH(2, NOUT)

      P = 0.8946

      A = 1.0

      B = 2.0

      X = WBLIN(P, A, B)

      WRITE (NOUT, 99999) P, A, B, X

99999 FORMAT (' WBLIN(', F4.2, ', ', F4.2, ', ', F4.2, ') = ', F6.4)

      END

Output

 

WBLIN(0.8946, 1.00, 2.00) = 1.5000 



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