Chapter 11: Probability Distribution Functions and Inverses

GEOPR

This function evaluates the discrete geometric probability density function.

Function Return Value

GEOPR — Function value, the probability that a random variable from a geometric distribution having parameter PIN will be equal to IX.   (Output)

Required Arguments

IX — Argument for which the discrete geometric probability density function is to be evaluated.  IX must be greater than or equal to 0. (Input)

PIN — Probability parameter of the geometric probability function (the probability of success for each independent trial).  PIN must be in the open interval (0, 1). (Input)

FORTRAN 90 Interface

Generic:                              GEOPR (IX, PIN)

Specific:                             The specific interface names are S_GEOPR and D_GEOPR.

FORTRAN 77 Interface

Single:                                GEOPR (IX, PIN)

Double:                              The double precision name is DGEOPR.

Description

The function GEOPR evaluates the discrete geometric probability density function, defined

               

Example

In this example, we evaluate the probability density function at IX = 3, PIN = 0.25.

 

      USE UMACH_INT
      USE GEOPR_INT
      IMPLICIT NONE

      INTEGER NOUT, IX

      REAL PIN, PR

      CALL UMACH(2, NOUT)

      IX = 3

      PIN = 0.25e0

      PR = GEOPR(IX, PIN)

      WRITE (NOUT, 99999) IX, PIN, PR

99999 FORMAT (' GEOPR(', I2, ', ', F4.2, ') = ', F6.4)

      END

Output

 

GEOPR( 3, 0.25) = 0.1055 



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