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| | *If alpha=1, then the failure rate of the device is constant over time. | | *If alpha=1, then the failure rate of the device is constant over time. |
| | *If alpha>1, then the failure rate of the device increases over time. | | *If alpha>1, then the failure rate of the device increases over time. |
| − | *The equation for cumulative distribution function is: <math>F(x,\alpha,\beta) = 1-e^-{(\frac{x}{β})}^α</math> | + | *The equation for cumulative distribution function is: <math>F(x,\alpha,\beta)</math> =<math>1-e^-{(\frac{x}{\beta})}^\alpha</math>. |
| | *The equation for probability density function is: | | *The equation for probability density function is: |
| | <math>f(x,\alpha,\beta) = \frac{\alpha}{\beta^\alpha}.x^{\alpha-1}.e^-{(\frac{x}{\beta})}^\alpha.</math> | | <math>f(x,\alpha,\beta) = \frac{\alpha}{\beta^\alpha}.x^{\alpha-1}.e^-{(\frac{x}{\beta})}^\alpha.</math> |
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| | 2. x is negative. | | 2. x is negative. |
| | 3. alpha<math>\le 0</math> or beta <math>\le 0</math> | | 3. alpha<math>\le 0</math> or beta <math>\le 0</math> |
| − | <math>F(x,\alpha,\beta)</math> =<math>1-e^-{(\frac{x}{\beta})}^\alpha</math>.
| + | |
| | ==Examples== | | ==Examples== |
| | #=WEIBULL(202,60,81,TRUE) = 1 | | #=WEIBULL(202,60,81,TRUE) = 1 |