Skip to main content

NTBETADIST

Returns the beta distribution for the specified parameters.

Syntax​

NTBETADIST(
    x,
    Alpha,
    Beta,
    Cumulative
)

Parameters​

  • x is the value for which you want the distribution (0≤x≤10\leq x\leq 1).
  • Alpha is a parameter of the distribution α(>0)\alpha(>0).
  • Beta is a parameter of the distribution β(>0)\beta(>0).
  • Cumulative is a logical value that determines the form of the function. If cumulative is TRUE, NTBETADIST returns the cumulative distribution function; if FALSE, it returns the probability density function.

Remarks​

f(x)=xα−1(1−x)β−1B(α,β) f(x)=\frac{x^{\alpha-1}(1-x)^{\beta-1}}{B(\alpha,\beta)}

, where B(⋅,⋅)B(\cdot,\cdot) is beta function.

F(x)=Ix(α,β) F(x)=I_{x}(\alpha,\beta)

, where Ix(⋅,⋅)I_x(\cdot,\cdot) is regualarized incomplete beta function.

  • When the argument Cumulative=TRUE, this function returns same result as Excel function "BETADIST" does.

Example​

  • The example may be easier to understand if you copy it to a blank worksheet\
How to copy an example

  1. Create a blank workbook or worksheet.

  2. Select the example in the Help topic.

    Note  Do not select the row or column headers.

    Selecting an example from Help

    Selecting an example from Help

  3. Press CTRL+C.

  4. In the worksheet, select cell A1, and press CTRL+V.

  5. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.

AB
1DataDescription
20.5Value for which you want the distribution
38Value of parameter Alpha
42Value of parameter Beta
5FormulaDescription (Result)
6=NTBETADIST(A2,A3,A4,TRUE)Cumulative distribution function for the terms above
7=NTBETADIST(A2,A3,A4,FALSE)Probability density function for the terms above

See also​