Difference between revisions of "Manuals/calci/BETADIST"
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*<math>Number</math> is the value between <math>LowerBound</math> and <math>UpperBound</math> | *<math>Number</math> is the value between <math>LowerBound</math> and <math>UpperBound</math> | ||
*<math>Alpha</math> and <math>Beta</math> are the value of the shape parameter | *<math>Alpha</math> and <math>Beta</math> are the value of the shape parameter | ||
| − | *<math>LowerBound</math> & <math>UpperBound</math> the lower and upper limit to the interval of <math> | + | *<math>LowerBound</math> & <math>UpperBound</math> the lower and upper limit to the interval of <math>Number</math>. |
| + | **BETADIST(),returns the Beta Cumulative Distribution Function. | ||
==Description== | ==Description== | ||
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*Beta is the value of the shape parameter | *Beta is the value of the shape parameter | ||
*<math>LowerBound</math> and <math>UpperBound</math>(optional) are the Lower and Upper limit to the interval of <math>Number</math>. | *<math>LowerBound</math> and <math>UpperBound</math>(optional) are the Lower and Upper limit to the interval of <math>Number</math>. | ||
| − | *Normally <math>Number</math> lies between the limit <math>LowerBound</math> and <math>UpperBound</math>, suppose when we are omitting <math> | + | *Normally <math>Number</math> lies between the limit <math>LowerBound</math> and <math>UpperBound</math>, suppose when we are omitting <math>LowerBound</math> and <math>UpperBound</math> value, by default <math>Number</math> value with in 0 and 1. |
*The Probability Density Function of the beta distribution is: | *The Probability Density Function of the beta distribution is: | ||
<math>f(x)=\frac{x^{\alpha-1}(1-x)^{ \beta-1}}{B(\alpha,\beta)},</math> where <math>0 \le x \le 1</math>; <math>\alpha,\beta >0 </math> and <math>B(\alpha,\beta)</math> is the Beta function. | <math>f(x)=\frac{x^{\alpha-1}(1-x)^{ \beta-1}}{B(\alpha,\beta)},</math> where <math>0 \le x \le 1</math>; <math>\alpha,\beta >0 </math> and <math>B(\alpha,\beta)</math> is the Beta function. | ||
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#=BETADIST(3,5,9,2,6) = 0.20603810250759128 | #=BETADIST(3,5,9,2,6) = 0.20603810250759128 | ||
#=BETADIST(9,4,2,8,11) = 0.04526748971193415 | #=BETADIST(9,4,2,8,11) = 0.04526748971193415 | ||
| − | #=BETADIST(5,-1,-2,4,7) = # | + | #=BETADIST(5,-1,-2,4,7) = #N/A (ALPHA GREATER THAN (OR) NOT EQUAL TO 0) |
==Related Videos== | ==Related Videos== | ||
Latest revision as of 03:57, 2 June 2020
BETADIST (Number,Alpha,Beta,LowerBound,UpperBound)
- is the value between and
- and are the value of the shape parameter
- & the lower and upper limit to the interval of .
- BETADIST(),returns the Beta Cumulative Distribution Function.
is the value between 
and 
and 
are the value of the shape parameterDescription
- This function gives the Cumulative Beta Probability Density function.
- The beta distribution is a family of Continuous Probability Distributions defined on the interval [0, 1] parameterized by two positive shape parameters, denoted by and .
- The Beta Distribution is also known as the Beta Distribution of the first kind.
- In , is the value between and .
- Alpha is the value of the shape parameter.
- Beta is the value of the shape parameter
- and (optional) are the Lower and Upper limit to the interval of .
- Normally lies between the limit and , suppose when we are omitting and value, by default value with in 0 and 1.
- The Probability Density Function of the beta distribution is:
and 
.
, where ; and is the Beta function.
where 
; 
and 
is the Beta function.
- The formula for the Cumulative Beta Distribution is called the Incomplete Beta function ratio and it is denoted by and is defined as :
and is defined as :=, where ; and is the Beta function.
=
, where 
; - This function will give the result as error when
1.Any one of the arguments are non-numeric. 2. or 3. ,, or
or 
3.
,
, or 
- we are not mentioning the limit values and ,
- By default it will consider the Standard Cumulative Beta Distribution, LowerBound = 0 and UpperBound = 1.
ZOS
- The syntax is to calculate BEATDIST in ZOS is .
- is the value between LowerBound and UpperBound
- and are the value of the shape parameter.
- For e.g.,BETADIST(11..13,3,5,8,14)
- BETADIST(33..35,5..6,10..11,30,40)
.
and 
are the value of the shape parameter.
Examples
- =BETADIST(0.4,8,10) = 0.35949234293309396
- =BETADIST(3,5,9,2,6) = 0.20603810250759128
- =BETADIST(9,4,2,8,11) = 0.04526748971193415
- =BETADIST(5,-1,-2,4,7) = #N/A (ALPHA GREATER THAN (OR) NOT EQUAL TO 0)
Related Videos
See Also
References