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| ==Normal Probability Density Function==
| | #REDIRECT [[The_Normal_Distribution]] |
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| The <math>pdf</math> of the normal distribution is given by:
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| ::<math>f(t)=\frac{1}{\sigma \sqrt{2\pi }}{{e}^{-\frac{1}{2}{{\left( \frac{t-\mu }{\sigma } \right)}^{2}}}}</math>
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| where:
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| <math>\mu</math> = mean of the normal times-to-faiure, also noted as <math>\bar{T}</math>,
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| <math>\theta=\text{standard deviation of the times-to-failure} </math>
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| It is a two-parameter distribution with parameters <math>\mu </math> (or <math>\bar{T}</math> ) and <math>{{\sigma }}</math> , i.e. the mean and the standard deviation, respectively.
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