Chapter 11: Probability Distribution Functions and Inverses

EXPIN

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

Function Return Value

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

Required Arguments

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

B — Scale parameter of the exponential distribution function.   (Input)

FORTRAN 90 Interface

Generic:                              EXPIN (P, B)

Specific:                             The specific interface names are S_EXPIN and D_EXPIN.

FORTRAN 77 Interface

Single:                                EXPIN (P, B)

Double:                              The double precision name is DEXPIN.

Description

The function EXPIN evaluates the inverse distribution function of an exponential random variable with scale parameter b = B.

Example

In this example, we evaluate the inverse probability function at P = 0.8647, B = 1.0.

 

      USE UMACH_INT
      USE EXPIN_INT
      IMPLICIT NONE

      INTEGER NOUT

      REAL X, B, P

      CALL UMACH(2, NOUT)

     

      P = 0.8647

      B = 1.0

      X = EXPIN(P, B)

      WRITE (NOUT, 99999) P, B, X

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

      END

Output

 

 EXPIN(0.8647, 1.00) = 2.0003



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