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A TEST FOR THE DETECTION OF A POISSON PROCESS
Author(s) -
REINMUTH JAMES E.
Publication year - 1971
Publication title -
decision sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.238
H-Index - 108
eISSN - 1540-5915
pISSN - 0011-7315
DOI - 10.1111/j.1540-5915.1971.tb01461.x
Subject(s) - poisson distribution , queueing theory , compound poisson process , computer science , limit (mathematics) , poisson process , interval (graph theory) , central limit theorem , poisson regression , mathematics , statistics , combinatorics , mathematical analysis , population , demography , sociology , computer network
A statistical test is presented to detect the presence of a Poisson input source into a queueing system. The fact that the arrival times of a Poisson input source are distributed independently and uniformly over time is used in conjunction with the central limit theorem to develop a test, based on the sum of the arrival times over a given interval of time, for the hypothesis that an input source into a queueing system is Poisson. Failure to reject this hypothesis gives one an extra degree of assurance that traditional queueing models assuming a Poisson input are applicable.