Difference between revisions of "Documentation/How Tos/Calc: LOGNORMDIST function"

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{{DISPLAYTITLE:LOGNORMDIST function}}
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== LOGNORMDIST ==
 
== LOGNORMDIST ==
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: <tt>'''LOGNORMDIST'''</tt> calculates the cumulative density function for a lognormal distribution.
 
: <tt>'''LOGNORMDIST'''</tt> calculates the cumulative density function for a lognormal distribution.
  
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: <tt>'''LOGNORMDIST(x; &mu;; &sigma;;)'''</tt> is equivalent to <tt>'''NORMDIST((LN(x)-&mu;)/&sigma;; 0; 1; 1)'''</tt>; it may also be calculated from 0.5 + 0.5 * ERF((LN(x)-&mu;)/(&sigma;*SQRT(2)))
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: <tt>'''LOGNORMDIST(x; &mu;; &sigma;;)'''</tt> is equivalent to <tt>'''NORMDIST((LN(x)-&mu;)/&sigma;; 0; 1; 1)'''</tt>; it may also be calculated from
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: <tt>'''0.5 * ERFC((-LN(x)+&mu;)/(&sigma;*SQRT(2)))'''</tt>
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: The function [[Documentation/How_Tos/Calc: ERFC function|ERFC]] belongs to the category ''Add-in''.
  
 
=== Example: ===
 
=== Example: ===
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: returns 0.5.
 
: returns 0.5.
  
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=== See also: ===
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=== Issues: ===
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[[Documentation/How_Tos/Calc: LOGINV function|'''LOGINV''']],
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* In the international standard ODFF this function has an extra parameter, allowing calculation of the probability density function as well.
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[[Documentation/How_Tos/Calc: NORMDIST function|'''NORMDIST''']],
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[[Documentation/How_Tos/Calc: NORMSDIST function|'''NORMSDIST''']],
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[[Documentation/How_Tos/Calc: NORMSINV function|'''NORMSINV''']],
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[[Documentation/How_Tos/Calc: NORMINV function|'''NORMINV''']],
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[[Documentation/How_Tos/Calc: ERF function|'''ERF''']],
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[[Documentation/How_Tos/Calc: LN function|'''LN''']],
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[[Documentation/How_Tos/Calc: SQRT function|'''SQRT''']]
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[[Documentation/How_Tos/Calc: Statistical functions|'''Statistical functions''']]
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{{SeeAlso|EN|
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* [[Documentation/How_Tos/Calc: LOGINV function|LOGINV]]
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* [[Documentation/How_Tos/Calc: NORMDIST function|NORMDIST]]
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* [[Documentation/How_Tos/Calc: NORMSDIST function|NORMSDIST]]
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* [[Documentation/How_Tos/Calc: NORMSINV function|NORMSINV]]
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* [[Documentation/How_Tos/Calc: NORMINV function|NORMINV]]
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* [[Documentation/How_Tos/Calc: ERF function|ERF]]
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* [[Documentation/How_Tos/Calc: LN function|LN]]
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* [[Documentation/How_Tos/Calc: SQRT function|SQRT]]
  
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=== Issues: ===
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* [[Documentation/How_Tos/Calc: Statistical functions|Statistical functions]]
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* In the forthcoming international standard ODFF this function has an extra parameter, allowing calculation of the probability density function as well.
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* [[Documentation/How_Tos/Calc: Functions listed alphabetically|Functions listed alphabetically]]
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* [[Documentation/How_Tos/Calc: Functions listed by category|Functions listed by category]]}}
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[[Category: Documentation/Reference/Calc/Statistical functions]]

Latest revision as of 14:04, 2 February 2024



LOGNORMDIST

Calculates values for the cumulative distribution function of a lognormal distribution.

Syntax:

LOGNORMDIST(x; μ; σ;)

A variable is lognormally distributed if its natural logarithm is normally distributed. Parameters of the distribution are μ (mean) and σ (standard deviation).
LOGNORMDIST calculates the cumulative density function for a lognormal distribution.
LOGNORMDIST(x; μ; σ;) is equivalent to NORMDIST((LN(x)-μ)/σ; 0; 1; 1); it may also be calculated from
0.5 * ERFC((-LN(x)+μ)/(σ*SQRT(2)))
The function ERFC belongs to the category Add-in.

Example:

LOGNORMDIST(1; 0; 1)

returns 0.5.

Issues:

  • In the international standard ODFF this function has an extra parameter, allowing calculation of the probability density function as well.


See Also
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