Difference between revisions of "Manuals/calci/UNIFORM"
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| Line 11: | Line 11: | ||
*The probability density function of the uniform distribution in the interval [a,b] are | *The probability density function of the uniform distribution in the interval [a,b] are | ||
| − | <math>P(x)= | + | <math>P(x)= |
\begin{cases} | \begin{cases} | ||
| − | 0 for &x<a \\ | + | 0 &for &x<a \\ |
| − | 1/b-a for &a<x<b \\ | + | 1/b-a &for &a<x<b \\ |
| − | 0 for &x>b. | + | 0 &for &x>b. |
\end{cases}</math> | \end{cases}</math> | ||
Revision as of 05:01, 11 February 2014
UNIFORMDISTRIBUTED(x,ll,ul)
- is the value of the function.
- is the lower limit.
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ul } is the upper limit of the function.
is the value of the function.
is the lower limit.Description
- This function gives the probability of the unifom distribution.
- Uniform distribution is a symmetric probability distribution.
- It is also called rectangular distribution.
- In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle UNIFORMDISTRIBUTED(x,ll,ul)} ,Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x } is the numeric value to find the probability of the distribution, is the lower limit value and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ul } is the upper limit value.
- The probability density function of the uniform distribution in the interval [a,b] are
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle P(x)= \begin{cases} 0 &for &x<a \\ 1/b-a &for &a<x<b \\ 0 &for &x>b. \end{cases}}
Examples
- UNIFORMDISTRIBUTED(4,2,3) = 4030484680552036 2.6280935418326408 2.2810050058178604 2.97846262995153679
- UNIFORMDISTRIBUTED(5,3,6) = 5.522187389200553 3.566177821950987 5.04674904467538 5.301322509767488 4.9094569575972855