Difference between revisions of "InverseNormal Command"

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; InverseNormal( <Mean>, <Standard Deviation>, <Probability> ): Calculates the function <math>\Phi^{-1}(P) \cdot \sigma + \mu </math> with given probability ''P'', mean ''μ'' and standard deviation ''σ'', where  <math>\Phi^{-1}</math> is the inverse of the cumulative distribution function ''Φ'' for ''N(0,1)''.
; InverseNormal[Mean μ, Standard Deviation σ, Probability P]: Calculates the function ''Φ<sup>-1</sup>(P) * σ + μ'' where ''Φ <sup>-1</sup>'' is the inverse of the probability density function ''Φ'' for ''N(0,1)''.
 
 
: {{Note| Returns the ''x''-coordinate with the given probability to the left under the normal distribution curve.}}
 
: {{Note| Returns the ''x''-coordinate with the given probability to the left under the normal distribution curve.}}

Latest revision as of 16:16, 7 October 2017


InverseNormal( <Mean>, <Standard Deviation>, <Probability> )
Calculates the function \Phi^{-1}(P) \cdot \sigma + \mu with given probability P, mean μ and standard deviation σ, where \Phi^{-1} is the inverse of the cumulative distribution function Φ for N(0,1).
Note: Returns the x-coordinate with the given probability to the left under the normal distribution curve.
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