Statistical
Excel 2010
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=WEIBULL.DIST()
Returns the Weibull distribution. Use this distribution in reliability analysis, such as calculating a device's mean time to failure.
Applies To:
Excel for Microsoft 365Excel for Microsoft 365 for MacExcel 2024Excel 2024 for MacExcel 2021Excel 2021 for MacExcel 2019Excel 2016
=WEIBULL.DIST(x,alpha,beta,cumulative)
Hover argument names in the table for details.
Output typeStatistical
Popularity6 / 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.DIST(A2,A3,A4,TRUE)
Result:
0.929581
Weibull probability density function for the terms above (0.035589)
=WEIBULL.DIST(A2,A3,A4,FALSE)
Result:
0.035589
§ Remarks
- If x, alpha, or beta is nonnumeric, WEIBULL.DIST returns the #VALUE! error value.
- If x < 0, WEIBULL.DIST returns the #NUM! error value.
- If alpha ≤ 0 or if beta ≤ 0, WEIBULL.DIST 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.DIST returns the exponential distribution with:
✦ Tips
- The equation for the Weibull cumulative distribution function is:
- The equation for the Weibull probability density function is:
- When alpha = 1, WEIBULL.DIST returns the exponential distribution with:
⚠ Common Errors
#VALUE!
If x, alpha, or beta is nonnumeric, WEIBULL.DIST returns the #VALUE! error value.
Fix: برای x و alpha و beta مقادیر عددی وارد کنید.
#NUM!
If x < 0, WEIBULL.DIST returns the #NUM! error value. If alpha ≤ 0 or if beta ≤ 0, WEIBULL.DIST returns the #NUM! error value.
Fix: Correct the input value
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