Premium
Some properties of the poisson distribution
Author(s) -
Said A. S.
Publication year - 1958
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690040311
Subject(s) - poisson distribution , mathematics , zero inflated model , compound poisson process , discrete poisson equation , distribution (mathematics) , compound poisson distribution , limit (mathematics) , differential equation , mathematical analysis , poisson binomial distribution , uniqueness theorem for poisson's equation , boundary value problem , statistics , poisson regression , poisson process , population , demography , sociology
This paper lists various properties of the Poisson distribution and related functions which can be derived from elementary principles without reference to theories of probability or statistics. They are intended for use by persons who may have to deal with Poisson distributed variables but not from a satistical point of view. Limit values and sums of the Poisson distribution, the sums of related functions, and different relations between its sums and integrals are given. Differential and difference equations which lead to solutions in the form of a Poisson distribution are discussed. The general elution equation is derived by setting up the differential‐difference equation for plate n in a chromatographic column and showing that the Poisson distribution is a solution to this equation. The complete solution is then obtained by applying the boundary conditions of the process.