Template:Example: Normal General Example Complete Data - Revision history

Kate Racaza: Redirected page to Normal Distribution Examples#Times-to- Failure Data Without Suspensions

2012-08-14T06:06:49Z

Redirected page to Normal Distribution Examples#Times-to- Failure Data Without Suspensions

← Older revision		Revision as of 06:06, 14 August 2012
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	~~'''Normal Distribution General Example Complete Data'''~~		#REDIRECT[[Normal_Distribution_Examples#Times-to-_Failure_Data_Without_Suspensions]]

	~~Eight units are being reliability tested and the following is a table of their times~~-to-~~failure:~~

	~~{\|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"~~
	\|-
	~~\|colspan="3" style="text-align:center"\| Non-Grouped Data for Example 12~~
	\|-
	~~!Data point index~~
	~~!State F or S~~
	~~!State End Time~~
	\|-
	~~\|1 \|\|F\|\|2~~
	\|-
	~~\|2 \|\|F\|\|5~~
	\|-
	~~\|3 \|\|F\|\|11~~
	\|-
	~~\|4 \|\|F\|\|23~~
	\|-
	~~\|5 \|\|F\|\|29~~
	\|-
	~~\|6 \|\|F\|\|37~~
	\|-
	~~\|7\|\|F\|\|43~~
	\|-
	~~\|8\|\|F\|\|59~~
	\|}

	~~'''Solution'''~~

	~~This data set can be entered into Weibull++ by creating a Data Sheet appropriate for the entry of non-grouped times-to-failure data.~~
	~~The computed parameters for maximum likelihood are:~~

	~~::<math>\begin{align}~~
	~~& \widehat{\mu }= & 26.13 \\~~
	~~& {{{\hat{\sigma }}}_{T}}= & 18.57~~
	~~\end{align}</math>~~

	~~For rank regression on x:~~

	~~::<math>\begin{align}~~
	~~& \widehat{\mu }= & 26.13 \\~~
	~~& {{{\hat{\sigma }}}_{T}}= & 21.64~~
	~~\end{align}</math>~~

	~~For rank regression on y:~~

	~~::<math>\begin{align}~~
	~~& \widehat{\mu }= & 26.13 \\~~
	~~& {{{\hat{\sigma }}}_{T}}= & 22.28.~~
	~~\end{align}</math>~~

Richard House at 03:07, 8 August 2012

2012-08-08T03:07:03Z

← Older revision		Revision as of 03:07, 8 August 2012
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	Eight units are being reliability tested and the following is a table of their times-to-failure:		Eight units are being reliability tested and the following is a table of their times-to-failure:

			{\|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"
	{\|align="center" border=1 cellspacing=1
	\|-		\|-
	\|colspan="3" style="text-align:center"\| ~~Table -~~ Non-Grouped Data ,for Example 12		\|colspan="3" style="text-align:center"\| Non-Grouped Data for Example 12
	\|-		\|-
	!Data point index		!Data point index
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	& {{{\hat{\sigma }}}_{T}}= & 18.57		& {{{\hat{\sigma }}}_{T}}= & 18.57
	\end{align}</math>		\end{align}</math>


	For rank regression on x:		For rank regression on x:
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	& {{{\hat{\sigma }}}_{T}}= & 21.64		& {{{\hat{\sigma }}}_{T}}= & 21.64
	\end{align}</math>		\end{align}</math>


	For rank regression on y:		For rank regression on y:

Harry Guo at 23:30, 10 February 2012

2012-02-10T23:30:49Z

← Older revision		Revision as of 23:30, 10 February 2012
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	{\|align="center" border=1 cellspacing=1		{\|align="center" border=1 cellspacing=1
	\|-		\|-
	\|colspan="3" style="text-align:center"\| Table ~~8.4~~ - Non-Grouped Data ,for Example 12		\|colspan="3" style="text-align:center"\| Table - Non-Grouped Data ,for Example 12
	\|-		\|-
	!Data point index		!Data point index

Harry Guo at 17:24, 10 February 2012

2012-02-10T17:24:14Z

← Older revision		Revision as of 17:24, 10 February 2012
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	'''Normal Distribution General Example Complete Data'''		'''Normal Distribution General Example Complete Data'''

	Eight units are being reliability tested and the following is a table of their times-to-failure:		Eight units are being reliability tested and the following is a table of their times-to-failure:

Harry Guo: Created page with ''''Normal Distribution General Example Complete Data''' Eight units are being reliability tested and the following is a table of their times-to-failure: {|align="center" border…'

2012-02-10T17:24:04Z

Created page with ''''Normal Distribution General Example Complete Data''' Eight units are being reliability tested and the following is a table of their times-to-failure: {|align="center" border…'

New page

'''Normal Distribution General Example Complete Data'''
Eight units are being reliability tested and the following is a table of their times-to-failure:

{|align="center" border=1 cellspacing=1
|-
|colspan="3" style="text-align:center"| Table 8.4 - Non-Grouped Data ,for Example 12
|-
!Data point index
!State F or S
!State End Time
|-
|1 ||F||2
|-
|2 ||F||5
|-
|3 ||F||11
|-
|4 ||F||23
|-
|5 ||F||29
|-
|6 ||F||37
|-
|7||F||43
|-
|8||F||59
|}

'''Solution'''

This data set can be entered into Weibull++ by creating a Data Sheet appropriate for the entry of non-grouped times-to-failure data.
The computed parameters for maximum likelihood are:

::<math>\begin{align}
& \widehat{\mu }= & 26.13 \\
& {{{\hat{\sigma }}}_{T}}= & 18.57
\end{align}</math>

For rank regression on x:

::<math>\begin{align}
& \widehat{\mu }= & 26.13 \\
& {{{\hat{\sigma }}}_{T}}= & 21.64
\end{align}</math>

For rank regression on y:

::<math>\begin{align}
& \widehat{\mu }= & 26.13 \\
& {{{\hat{\sigma }}}_{T}}= & 22.28.
\end{align}</math>