Difference between revisions of "LogNormal Command"
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:{{Note| Returns the probability for a given ''x''-coordinate's value (or area under the log-normal distribution curve to the left of the given ''x''-coordinate).}} | :{{Note| Returns the probability for a given ''x''-coordinate's value (or area under the log-normal distribution curve to the left of the given ''x''-coordinate).}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
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;LogNormal[ <Mean>, <Standard Deviation>, <Variable Value> ] | ;LogNormal[ <Mean>, <Standard Deviation>, <Variable Value> ] | ||
:Calculates the value of cumulative distribution function of log-normal distribution at variable value ''v'', i.e. the probability ''P(X ≤ v)'' where ''X'' is a random variable with log-normal distribution given by parameters mean ''μ'' and standard deviation ''σ''. | :Calculates the value of cumulative distribution function of log-normal distribution at variable value ''v'', i.e. the probability ''P(X ≤ v)'' where ''X'' is a random variable with log-normal distribution given by parameters mean ''μ'' and standard deviation ''σ''. | ||
:{{Note| Returns the probability for a given ''x''-coordinate's value (or area under the log-normal distribution curve to the left of the given ''x''-coordinate).}} | :{{Note| Returns the probability for a given ''x''-coordinate's value (or area under the log-normal distribution curve to the left of the given ''x''-coordinate).}} |
Revision as of 10:10, 6 August 2015
- LogNormal[ <Mean>, <Standard Deviation>, x ]
- Creates probability density function (pdf) of log-normal distribution with parameters mean μ and standard deviation σ.
- LogNormal[ <Mean>, <Standard Deviation>, x, <Boolean Cumulative> ]
- If Cumulative is true, creates cumulative density function of log-normal distribution, otherwise creates pdf of log-normal distribution.
- LogNormal[ <Mean>, <Standard Deviation>, <Variable Value> ]
- Calculates the value of cumulative distribution function of log-normal distribution at variable value v, i.e. the probability P(X ≤ v) where X is a random variable with log-normal distribution given by parameters mean μ and standard deviation σ.
- Note: Returns the probability for a given x-coordinate's value (or area under the log-normal distribution curve to the left of the given x-coordinate).
CAS Syntax
- LogNormal[ <Mean>, <Standard Deviation>, <Variable Value> ]
- Calculates the value of cumulative distribution function of log-normal distribution at variable value v, i.e. the probability P(X ≤ v) where X is a random variable with log-normal distribution given by parameters mean μ and standard deviation σ.
- Note: Returns the probability for a given x-coordinate's value (or area under the log-normal distribution curve to the left of the given x-coordinate).