beta_pdf()
Learn how to use the beta_pdf() function to return the beta probability density function.
Returns the probability density beta function.
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_pdf(x, alpha, beta)
Parameters
| Name | Type | Required | Description |
|---|---|---|---|
| x | int, long, or real | ✔️ | A value at which to evaluate the function. |
| alpha | int, long, or real | ✔️ | A parameter of the distribution. |
| beta | int, long, or real | ✔️ | A parameter of the distribution. |
Returns
The probability beta density function.
Examples
datatable(x:double, alpha:double, beta:double, comment:string)
[
0.5, 10.0, 20.0, "Valid input",
1.5, 10.0, 20.0, "x > 1, yields NaN",
double(-10), 10.0, 20.0, "x < 0, yields NaN",
0.1, double(-1.0), 20.0, "alpha is < 0, yields NaN"
]
| extend r = beta_pdf(x, alpha, beta)
Output
| x | alpha | beta | comment | r |
|---|---|---|---|---|
| 0.5 | 10 | 20 | Valid input | 0.746176019310951 |
| 1.5 | 10 | 20 | x > 1, yields NaN | NaN |
| -10 | 10 | 20 | x < 0, yields NaN | NaN |
| 0.1 | -1 | 20 | alpha is < 0, yields NaN | NaN |
Related content
- For computing the inverse of the beta cumulative probability density function, see beta-inv().
- For the standard cumulative beta distribution function, see beta-cdf().
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