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MetricsEmsNormalDistribution
(24 Sep 2010,
ArthurRyman
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---+ ems:NormalDistribution Probability distributions: [[MetricsEmsPointEstimate][ems:PointEstimate]], [[MetricsEmsUniformDistribution][ems:UniformDistribution]], [[MetricsEmsTriangularDistribution][ems:TriangularDistribution]], [[MetricsEmsNormalDistribution][ems:NormalDistribution]], [[MetricsEmsPoissonDistribution][ems:PoissonDistribution]], [[MetricsEmsQuantileFunction][ems:QuantileFunction]], [[MetricsEmsCumulativeDistributionFunction][ems:CumulativeDistributionFunction]] %TOC% ---++ Description The [[http://en.wikipedia.org/wiki/Normal_distribution][normal distribution]] naturally occurs in many situations. When a measure is affected by many random factors, the result is a normal distribution under very general conditions (see the [[http://en.wikipedia.org/wiki/Central_limit_theorem][Central Limit Theorem]]). For example, the total duration of a project depends on the durations of all the tasks. If there are many tasks and they their estimated durations are described by well-behaved probability distributions, then the estimated total duration is described by a normal distribution. An ems:NormalDistribution resource represents a normal distribution. ---++ Properties An ems:NormalDistribution has the following properties | *Property* | *Range* | *Type* | *Occurrence* | *Edits* | *Description* | | ems:mu | datatype | xsd:double | exactly-one | read-write | The mean of the distribution. | | ems:sigma | datatype | xsd:double | exactly-one | read-write | The scale of the distribution. | ---+++ ems:mu This required property is the mean of the distribution, traditionally denoted by the Greek letter mu. ---+++ ems:scale This required property is the scale of the distribution, traditionally denoted by the Greek letter sigma. Its square is the variance of the distribution. This property MUST be positive. ---++ Examples ---+++ Normal Distribution 1 The following resource represents a normal distribution with a mu value of 42 and a sigma value of 7: ---++++++ Listing of Normal Distribution 1 <blockquote><verbatim><?xml version="1.0"?> <ems:NormalDistribution xmlns:ems="http://open-services.net/ns/ems#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"> <ems:mu rdf:datatype="http://www.w3.org/2001/XMLSchema#double">42</ems:mu> <ems:sigma rdf:datatype="http://www.w3.org/2001/XMLSchema#double">7</ems:sigma> </ems:NormalDistribution> </verbatim></blockquote> ---++ Comments Add your comments here: %COMMENT%
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Topic revision: r6 - 24 Sep 2010 - 15:20:56 -
ArthurRyman
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