WEIBULL

Microsoft Office Excel 2003

See Also

Returns the Weibull distribution. Use this distribution in reliability analysis, such as calculating a device's mean time to failure.

Syntax

WEIBULL(x,alpha,beta,cumulative)

X    is the value at which to evaluate the function.

Alpha    is a parameter to the distribution.

Beta    is a parameter to the distribution.

Cumulative    determines the form of the function.

Remarks

  • If x, alpha, or beta is nonnumeric, WEIBULL returns the #VALUE! error value.
  • If x < 0, WEIBULL returns the #NUM! error value.
  • If alpha ≤ 0 or if beta ≤ 0, WEIBULL returns the #NUM! error value.
  • The equation for the Weibull cumulative distribution function is:

    Equation

  • The equation for the Weibull probability density function is:

    Equation

  • When alpha = 1, WEIBULL returns the exponential distribution with:

    Equation

Example

The example may be easier to understand if you copy it to a blank worksheet.

ShowHow?

  1. Create a blank workbook or worksheet.
  2. Select the example in the Help topic. 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.
 
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A B
Data Description
105 Value at which to evaluate the function
20 Alpha parameter to the distribution
100 Beta parameter to the distribution
Formula Description (Result)
=WEIBULL(A2,A3,A4,TRUE) Weibull cumulative distribution function for the terms above (0.929581)
=WEIBULL(A2,A3,A4,FALSE) Weibull probability density function for the terms above (0.035589)