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QF20_CDF_POISSON_ESTIMATE - Estimation of proportions of a Poisson distribution

ABAP Short Reference rdisp/max_wprun_time - Maximum work process run time
This documentation is copyright by SAP AG.

Task

This function computes estimated values of fractions F(k) and 1-F(k) for a given value k of a population with Poisson distribution and an unknown distribution parameter. Sample results are required in summarized form only.

Example

Ten spruce planks from a lot are inspected for knot holes. Three knot holes are found. Estimate the following fractions for the lot:

the fraction of planks without knot holes (FRACTION1);

the fraction of planks with more than two knot holes (FRACTION2).

The following function calls apply for this example:

  CALL FUNCTION 'QF20_CDF_POISSON_ESTIMATE'
    EXPORTING SAMPLE_SIZE     = 10
              SAMPLE_SUM      =  3
              SPLITTING_VALUE =  0
    IMPORTING PROB_BELOW      = FRACTION1.

  CALL FUNCTION 'QF20_CDF_POISSON_ESTIMATE'
    EXPORTING SAMPLE_SIZE     = 10
              SAMPLE_SUM      =  3
              SPLITTING_VALUE =  2
    IMPORTING PROB_ABOVE      = FRACTION2.

Statistical properties

The estimator used is unbiased. Of all unbiased estimators, it has minimal variance.

Reference

E.L.Lehmann, Theory of Point Estimation, John Wiley & Sons, New York 1983

Parameters

PROB_ABOVE
PROB_BELOW
SAMPLE_SIZE
SAMPLE_SUM
SPLITTING_VALUE

Exceptions

NOT_POSITIVE

Function Group

QF20

General Material Data BAL_S_LOG - Application Log: Log header data
This documentation is copyright by SAP AG.

Length: 2316 Date: 20240605 Time: 202922 sap01-206 ( 25 ms )

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