Template:LSRstats: Difference between revisions

From ReliaWiki
Jump to navigation Jump to search
No edit summary
(Replaced content with 'Category: For Deletion')
 
(41 intermediate revisions by 2 users not shown)
Line 1: Line 1:
{| border="1" cellpadding="4" cellspacing="0" align="center" bgcolor="rgb(255,229,184)"
[[Category: For Deletion]]
|-
| colspan="2" align="center" valign="middle" bgcolor="rgb(255,229,184)" | Arrhenious-Weibull
|-
| colspan="2" |
{| width="0" border="1" cellpadding="2" cellspacing="0"  bgcolor="rgb(240,240,237)
|-
| align="center" valign="middle" bgcolor="rgb(240,240,237)" | Model 
| align="center" valign="middle" bgcolor="rgb(240,240,237)" |  Life Distribution
|-
| rowspan="3" | <math>f(t,V)=\frac{\beta }{C\cdot {{e}^{\frac{B}{V}}}}{{\left( \frac{t}{C\cdot {{e}^{\tfrac{B}{V}}}} \right)}^{\beta -1}}{{e}^{-{{\left( \tfrac{t}{C\cdot {{e}^{\tfrac{B}{V}}}} \right)}^{\beta }}}}</math>
| {{weibull2pdf}}
|-
| align="center" valign="top" bgcolor="rgb(255,229,184)" | Life Stress Relationship
|-
| <math>L(V)=C{{e}^{\tfrac{B}{V}}}</math>
|}
 
|-
| bgcolor="rgb(240,240,237)" | Type
| Exponential LSR
|-
| bgcolor="#cccccc" | Reliability
| <math>R(T,V)={{e}^{-{{\left( \tfrac{T}{C\cdot {{e}^{\tfrac{B}{V}}}} \right)}^{\beta }}}}</math>
|-
| Reliable Life
| <math>{T(R)}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left\{ -\ln \left[R\right] \right\}}^{\tfrac{1}{\beta }}}</math>
|-
| BX Life
| <math>{BX}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left\{ -\ln \left[1-{\frac{X}{100}}\right] \right\}}^{\tfrac{1}{\beta }}}</math>
|-
| Failure Rate
| <math>\lambda \left( T,V \right)=\frac{f\left( T,V \right)}{R\left( T,V \right)}=\frac{\beta }{C\cdot {{e}^{\tfrac{B}{V}}}}{{\left( \frac{T}{C\cdot {{e}^{\tfrac{B}{V}}}} \right)}^{\beta -1}}</math>
|-
| Mean or MTTF
| <math>\overline{T}=C\cdot {{e}^{\tfrac{B}{V}}}\cdot \Gamma \left( \frac{1}{\beta }+1 \right)</math>
|-
| Median
| <math>\breve{T}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left( \ln 2 \right)}^{\tfrac{1}{\beta }}}</math>
|-
| Mode
| <math>\tilde{T}=C\cdot {{e}^{\tfrac{B}{V}}}{{\left( 1-\frac{1}{\beta } \right)}^{\tfrac{1}{\beta }}}</math>
|-
| Standard deviation
| <math>{{\sigma }_{T}}=C\cdot {{e}^{\tfrac{B}{V}}}\cdot \sqrt{\Gamma \left( \frac{2}{\beta }+1 \right)-{{\left( \Gamma \left( \frac{1}{\beta }+1 \right) \right)}^{2}}}</math>
|}

Latest revision as of 23:45, 24 June 2015

Retrieved from "https://www.reliawiki.com/index.php?title=Template:LSRstats&oldid=58581"