Compatibility
Excel 2007 (Compatibility)
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=WEIBULL()
Returns the Weibull distribution. Use this distribution in reliability analysis, such as calculating a device's mean time to failure. This function is provided for backward compatibility; consider using the WEIBULL.DIST function instead.
Applies To:
Excel for Microsoft 365Excel for Microsoft 365 for MacExcel 2024Excel 2024 for MacExcel 2021Excel 2021 for MacExcel 2019Excel 2016
=WEIBULL(x,alpha,beta,cumulative)
Hover argument names in the table for details.
Output typeNumber
Popularity24 / 100
VolatileNo
Dynamic ArrayNo
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◧ Arguments
| Argument | Type | Required | Description |
|---|---|---|---|
x |
Number | Required | The value at which to evaluate the function. |
alpha |
Number | Required | A parameter to the distribution. |
beta |
Number | Required | A parameter to the distribution. |
cumulative |
Logical | Required | Determines the form of the function. |
▣ Examples
▦ Data
| Cell | Value | Description |
|---|---|---|
A2 |
105 | Value at which to evaluate the function |
A3 |
20 | Alpha parameter to the distribution |
A4 |
100 | Beta parameter to the distribution |
A5 |
105 | Value at which to evaluate the function |
A6 |
20 | Alpha parameter to the distribution |
A7 |
100 | Beta parameter to the distribution |
Weibull cumulative distribution function for the terms above (0.929581)
=WEIBULL(A2,A3,A4,TRUE)
Result:
0.929581
Weibull probability density function for the terms above (0.035589)
=WEIBULL(A2,A3,A4,FALSE)
Result:
0.035589
§ 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:
- The equation for the Weibull probability density function is:
- When alpha = 1, WEIBULL returns the exponential distribution with:
✦ Tips
- This function has been replaced with one or more new functions that may provide improved accuracy and whose names better reflect their usage. Although this function is still available for backward compatibility, you should consider using the new functions from now on, because this function may not be available in future versions of Excel. For more information about the new function, see WEIBULL.DIST function.
- The equation for the Weibull cumulative distribution function is:
- The equation for the Weibull probability density function is:
- When alpha = 1, WEIBULL returns the exponential distribution with:
⚠ Common Errors
#VALUE!
If x, alpha, or beta is nonnumeric, WEIBULL returns the #VALUE! error value.
Fix: برای x و alpha و beta مقادیر عددی وارد کنید و بررسی کنید سلول مرجع خالی یا متنی نباشد.
#NUM!
If x < 0, WEIBULL returns the #NUM! error value. If alpha ≤ 0 or if beta ≤ 0, WEIBULL returns the #NUM! error value.
Fix: Enter allowed values
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