BETA.DIST DAX Function (Statistical)

Returns the beta distribution. The beta distribution is commonly used to study variation in the percentage of something across samples, such as the fraction of the day people spend watching television.

Syntax

BETA.DIST ( <X>, <Alpha>, <Beta>, <Cumulative> [, <A>] [, <B>] )
Parameter Attributes Description
X

The value between A and B at which to evaluate the function.

Alpha

A parameter of the distribution.

Beta

A parameter the distribution.

Cumulative

A logical value that determines the form of the function. If cumulative is TRUE, BETA.DIST returns the cumulative distribution function; if FALSE, it returns the probability density function.

A Optional

A lower bound to the interval of x.

B Optional

An upper bound to the interval of x.

Return values

Scalar A single decimal value.

Returns the beta distribution.

Remarks

If any argument is nonnumeric, BETA.DIST returns the #VALUE! error value.

If any argument is not an integer, it is rounded.

If alpha ≤ 0 or beta ≤ 0, BETA.DIST returns the #NUM! error value.

If x < A, x > B, or A = B, BETA.DIST returns the #NUM! error value.

If you omit values for A and B, BETA.DIST uses the standard cumulative beta distribution, so that A = 0 and B = 1.

» 1 related function

Examples

--
--  Given the parameters of Alpha and Beta to define the shape of
--  the distribution, BETA.DIST returns the value of the probability
--  density function or the cumulative distribution function, depending
--  on the fourth argument.
--
--      BETA.DIST ( [Value], Alpha, Beta, Cumulative, LowerBound, UpperBound )
--
--  BETA.INV returns the inverse of BETA.DIST
--
--  https://en.wikipedia.org/wiki/Beta_distribution
--
DEFINE
    VAR Vals            = GENERATESERIES ( 0.01, 1, 0.02 )
    VAR Alpha           = 3.51
    VAR Beta            = 4.02
    VAR CumulativeTrue  = TRUE   -- Cumulative distribution function
    VAR CumulativeFalse = FALSE  -- Probability density function
    VAR LowerBound      = 0
    VAR UpperBound      = 1
EVALUATE
ADDCOLUMNS ( 
    Vals, 
    "Beta Dist",             -- Probability density function
        FORMAT ( 
            BETA.DIST ( [Value], Alpha, Beta, CumulativeFalse, LowerBound, UpperBound ),
            "#,0.0####"
        ),
    "Beta Dist Cumulative",  -- Cumulative distribution function
        FORMAT ( 
            BETA.DIST ( [Value], Alpha, Beta, CumulativeTrue, LowerBound, UpperBound ),
            "#,0.0####"
        ),
    "Beta Inv Cumulative",
        BETA.INV (  
            BETA.DIST ( [Value], Alpha, Beta, CumulativeTrue, LowerBound, UpperBound ),
            Alpha,
            Beta,
            LowerBound,
            UpperBound 
        )           
    )
Value Beta Dist Beta Dist Cumulative Beta Inv Cumulative
0.01 0.00089 0.0 0.01
0.03 0.01317 0.00011 0.03
0.05 0.04459 0.00066 0.05
0.07 0.09729 0.00204 0.07
0.09 0.17121 0.00469 0.09
0.11 0.26492 0.00902 0.11
0.13 0.37619 0.01541 0.13
0.15 0.50222 0.02417 0.15
0.17 0.63989 0.03557 0.17
0.19 0.78589 0.04982 0.19
0.21 0.93685 0.06704 0.21
0.23 1.08944 0.0873 0.23
0.25 1.24045 0.11061 0.25
0.27 1.38683 0.13689 0.27
0.29 1.52575 0.16603 0.29
0.31 1.65465 0.19785 0.31
0.33 1.77125 0.23213 0.33
0.35 1.87358 0.26861 0.35
0.37 1.96001 0.30697 0.37
0.39 2.02923 0.34689 0.39
0.41 2.08029 0.38802 0.41
0.43 2.11257 0.42998 0.43
0.45 2.1258 0.4724 0.45
0.47 2.12003 0.51489 0.47
0.49 2.09565 0.55707 0.49
0.51 2.05332 0.59859 0.51
0.53 1.99403 0.63909 0.53
0.55 1.919 0.67825 0.55
0.57 1.82972 0.71576 0.57
0.59 1.72786 0.75135 0.59
0.61 1.61531 0.7848 0.61
0.63 1.49409 0.81591 0.63
0.65 1.36635 0.84452 0.65
0.67 1.23431 0.87053 0.67
0.69 1.10024 0.89388 0.69
0.71 0.96642 0.91454 0.71
0.73 0.83507 0.93255 0.73
0.75 0.70835 0.94798 0.75
0.77 0.58827 0.96093 0.77
0.79 0.47666 0.97157 0.79
0.81 0.37514 0.98007 0.81
0.83 0.28504 0.98665 0.83
0.85 0.20735 0.99155 0.85
0.87 0.14268 0.99503 0.87
0.89 0.09121 0.99735 0.89
0.91 0.05261 0.99876 0.91
0.93 0.02601 0.99953 0.93
0.95 0.00993 0.99987 0.95
0.97 0.00224 0.99998 0.97
0.99 0.00009 1.0 0.99

Related functions

Other related functions are:

Last update: Jul 30, 2021   » Contribute   » Show contributors

Contributors: Alberto Ferrari, Marco Russo

Microsoft documentation: https://docs.microsoft.com/en-us/dax/beta-dist-function-dax

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Context Transition

This function performs a Context Transition if called in a Row Context. Click to read more.

Row Context

This expression is executed in a Row Context. Click to read more.

Iterator

Not recommended

The use of this function is not recommended. See Remarks and Related functions for alternatives.

Not recommended

The use of this parameter is not recommended.

Deprecated

This function is deprecated. Jump to the Alternatives section to see the function to use.

Deprecated

This parameter is deprecated and its use is not recommended.

DirectQuery compatibility

Limitations are placed on DAX expressions allowed in measures and calculated columns.
The state below shows the DirectQuery compatibility of the DAX function.

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