{"term":{"id":"04707","doi":"10.1351\/goldbook.P04707","code":"P04707","status":"current","longtitle":"IUPAC Gold Book - Poisson distribution","title":"Poisson distribution","termversion":"2.3.3","lastupdated":"2014-02-24","definitions":[{"id":"1","text":"A discrete distribution with the differential mass-distribution function of the form: fw(x) = x\/(a + 1) = e^-a.a^(x - 1)\/(x - 1)! is a parameter characterizing the chain length, such as relative molecular mass or degree of polymerization and a is a positive adjustable parameter.","links":[{"title":"mass-distribution function","type":"goldify","url":"https:\/\/goldbook.iupac.org\/terms\/view\/M03716"},{"title":"chain length","type":"goldify","url":"https:\/\/goldbook.iupac.org\/terms\/view\/C00956"},{"title":"relative molecular mass","type":"goldify","url":"https:\/\/goldbook.iupac.org\/terms\/view\/R05271"},{"title":"degree of polymerization","type":"goldify","url":"https:\/\/goldbook.iupac.org\/terms\/view\/D01569"}],"math":[{"alttext":"fw(x) = x\/(a + 1) = e^-a.a^(x - 1)\/(x - 1)!","latex":"f_{\\text{w}}(x)=\\frac{x}{a\\,+\\,1}=\\frac{\\text{e}^{-a}\\ a^{x-1}}{(x\\,-\\,1)!}"},{"alttext":"x","latex":"x"},{"alttext":"a","latex":"a"}],"sources":["Purple Book, 1st ed., p. 56 (http:\/\/old.iupac.org\/publications\/books\/author\/metanomski.html)"]}],"referencedin":[{"title":"Wikipedia - Distribuzione di Poisson (it)","url":"https:\/\/it.wikipedia.org\/wiki\/Distribuzione_di_Poisson"}],"links":{"html":"https:\/\/goldbook.iupac.org\/terms\/view\/P04707\/html","json":"https:\/\/goldbook.iupac.org\/terms\/view\/P04707\/json","xml":"https:\/\/goldbook.iupac.org\/terms\/view\/P04707\/xml","plain":"https:\/\/goldbook.iupac.org\/terms\/view\/P04707\/plain","pdf":"https:\/\/goldbook.iupac.org\/terms\/view\/P04707\/pdf"},"citation":"Citation: 'Poisson distribution' in IUPAC Compendium of Chemical Terminology, 3rd ed. International Union of Pure and Applied Chemistry; 2006. Online version 3.0.1, 2019. 10.1351\/goldbook.P04707","license":"The IUPAC Gold Book is licensed under Creative Commons Attribution-ShareAlike CC BY-SA 4.0 International (https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/) for individual terms.","collection":"If you are interested in licensing the Gold Book for commercial use, please contact the IUPAC Executive Director at executivedirector@iupac.org .","disclaimer":"The International Union of Pure and Applied Chemistry (IUPAC) is continuously reviewing and, where needed, updating terms in the Compendium of Chemical Terminology (the IUPAC Gold Book). Users of these terms are encouraged to include the version of a term with its use and to check regularly for updates to term definitions that you are using.","accessed":"2024-07-17T22:48:26+00:00"}}