ALTA ALTA Standard Folio Data TH-Lognormal: Difference between revisions

From ReliaWiki
Jump to navigation Jump to search
No edit summary
 
(9 intermediate revisions by 4 users not shown)
Line 1: Line 1:
{{Template:NoSkin}}
#REDIRECT [[Template:WebNotes/ALTAALTA_Standard_Folio_Data_TempHumidity]]
{| class="FCK__ShowTableBorders" border="0" cellspacing="0" cellpadding="0" align="center"; style="width:100%;"
|-
| valign="middle" align="left" bgcolor=EEEEEE|[[Image: Webnotes-alta.png |center|195px]]
|}
{| class="FCK__ShowTableBorders" border="0" cellspacing="1" cellpadding="1"
|-
! scope="col" |
{{Font|Reliability Web Notes|12|tahoma|bold|Blue}}
|-
| valign="middle" |{{Font|Standard Folio Data TH-Lognormal|11|tahoma|bold|gray}}
|-
|  valign="middle" | {{Font|ALTA|10|tahoma|bold|gray}}
|-
|  valign="middle" |
The  <math>pdf</math>  of the lognormal distribution is given by:
<br>
<math>f(T)=\frac{1}{T\text{ }{{\sigma }_{{{T}'}}}\sqrt{2\pi }}{{e}^{-\tfrac{1}{2}{{\left( \tfrac{{T}'-\overline{{{T}'}}}{{{\sigma }_{{{T}'}}}} \right)}^{2}}}}</math>
<br>
where:
<br>
<math>{T}'=\ln (T)</math>
<br>
<math>T=\text{times-to-failure}</math>
<br>
and:
<br>
• <math>\overline{{{T}'}}=</math> mean of the natural logarithms of the times-to-failure.
 
• <math>{{\sigma }_{{{T}'}}}=</math> standard deviation of the natural logarithms of the times-to-failure.
|-
|  valign="middle" | [http://reliawiki.com/index.php/Template:T-h_lognormal T-H Lognormal]
|}
 
<br>
 
[[File:docedit.png|20px|right|link=http://www.reliawiki.com/index.php?title=ALTA_ALTA_Standard_Folio_Data_TH-Lognormal&action=edit]]

Latest revision as of 19:59, 8 July 2015