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
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
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.
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: Oct 3, 2024 » Contribute » Show contributors
Contributors: Alberto Ferrari, Marco Russo
Microsoft documentation: https://docs.microsoft.com/en-us/dax/beta-dist-function-dax