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

Kate Racaza: Redirected page to Normal Distribution Examples#Interval Censored Data

2012-08-14T05:16:12Z

Redirected page to Normal Distribution Examples#Interval Censored Data

← Older revision		Revision as of 05:16, 14 August 2012
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	~~'''Normal Distribution General Example Interval Data'''~~		#REDIRECT[[Normal_Distribution_Examples#Interval_Censored_Data]]

	~~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 Times-to-Failure with intervals (lnterval and left censored)~~
	\|-
	~~!Data point index~~
	~~!Last Inspected~~
	~~!State End Time~~
	\|-
	~~\|1 \|\|30\|\|32~~
	\|-
	~~\|2 \|\|32\|\|35~~
	\|-
	~~\|3 \|\|35\|\|37~~
	\|-
	~~\|4 \|\|37\|\|40~~
	\|-
	~~\|5 \|\|42\|\|42~~
	\|-
	~~\|6 \|\|45\|\|45~~
	\|-
	~~\|7\|\|50\|\|50~~
	\|-
	~~\|8\|\|55\|\|55~~
	\|}

	~~'''Solution'''~~

	This is a sequence of interval times-to-failure. This data set can be entered into Weibull++ by creating a data sheet that can be used to analyze times-to-failure data with interval and left censored data.

	[[~~Image:lastinspected.png\|center\|550px\| ]]~~


	~~[[Image:lastinspectedsheet.png\|center\|550px]]~~

	~~The computed parameters for maximum likelihood are:~~

	~~::<math>\begin{align}~~
	~~& \widehat{\mu }= & 41.40 \\~~
	~~& {{{\hat{\sigma }}}_{T}}= & 7.740.~~
	~~\end{align}</math>~~

	~~For rank regression on x:~~

	~~::<math>\begin{align}~~
	~~& \widehat{\mu }= & 41.40 \\~~
	~~& {{{\hat{\sigma }}}_{T}}= & 9.03.~~
	~~\end{align}</math>~~

	~~For rank regression on y:~~

	~~::<math>\begin{align}~~
	~~& \widehat{\mu }= & 41.39 \\~~
	~~& {{{\hat{\sigma }}}_{T}}= & 9.25.~~
	~~\end{align}</math>~~

	~~A plot of the RRX solution is shown next.~~

	~~<math></math>~~
	~~[[Image:lastinspectedplot.png\|center\|550px\|~~ ]]

Richard House at 02:55, 8 August 2012

2012-08-08T02:55:25Z

← Older revision		Revision as of 02:55, 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 Times-to-Failure with intervals (lnterval and left censored)		\|colspan="3" style="text-align:center"\| Non-Grouped Data Times-to-Failure with intervals (lnterval and left censored)
	\|-		\|-
	!Data point index		!Data point index
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	This is a sequence of interval times-to-failure. This data set can be entered into Weibull++ by creating a data sheet that can be used to analyze times-to-failure data with interval and left censored data.		This is a sequence of interval times-to-failure. This data set can be entered into Weibull++ by creating a data sheet that can be used to analyze times-to-failure data with interval and left censored data.

	~~<math></math>~~		[[Image:lastinspected.png\|center\|550px\| ]]
	[[Image:lastinspected.png~~\|thumb~~\|center\|~~500px~~\| ]]

	[[Image:lastinspectedsheet.png~~\|thumb~~\|center\|~~500px~~]]		[[Image:lastinspectedsheet.png\|center\|550px]]

	The computed parameters for maximum likelihood are:		The computed parameters for maximum likelihood are:
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	& {{{\hat{\sigma }}}_{T}}= & 9.25.		& {{{\hat{\sigma }}}_{T}}= & 9.25.
	\end{align}</math>		\end{align}</math>


	A plot of the RRX solution is shown next.		A plot of the RRX solution is shown next.

	<math></math>		<math></math>
	[[Image:lastinspectedplot.png~~\|thumb~~\|center\|~~500px~~\| ]]		[[Image:lastinspectedplot.png\|center\|550px\| ]]

Chris Kahn at 18:58, 21 May 2012

2012-05-21T18:58:49Z

← Older revision		Revision as of 18:58, 21 May 2012
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	<math></math>		<math></math>
	[[Image:lastinspected.png\|thumb\|center\|~~250px~~\| ]]		[[Image:lastinspected.png\|thumb\|center\|500px\| ]]

	[[Image:lastinspectedsheet.png\|thumb\|center\|~~250px~~]]		[[Image:lastinspectedsheet.png\|thumb\|center\|500px]]

	The computed parameters for maximum likelihood are:		The computed parameters for maximum likelihood are:
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	<math></math>		<math></math>
	[[Image:lastinspectedplot.png\|thumb\|center\|~~250px~~\| ]]		[[Image:lastinspectedplot.png\|thumb\|center\|500px\| ]]

Nicolette Young at 21:07, 25 April 2012

2012-04-25T21:07:21Z

← Older revision		Revision as of 21:07, 25 April 2012
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	<math></math>		<math></math>
	[[Image:lastinspected.png\|thumb\|center\|~~400px~~\| ]]		[[Image:lastinspected.png\|thumb\|center\|250px\| ]]

	[[Image:lastinspectedsheet.png\|thumb\|center\|~~400px~~]]		[[Image:lastinspectedsheet.png\|thumb\|center\|250px]]

	The computed parameters for maximum likelihood are:		The computed parameters for maximum likelihood are:
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	<math></math>		<math></math>
	[[Image:lastinspectedplot.png\|thumb\|center\|~~400px~~\| ]]		[[Image:lastinspectedplot.png\|thumb\|center\|250px\| ]]

Harry Guo at 00:09, 2 March 2012

2012-03-02T00:09:36Z

← Older revision		Revision as of 00:09, 2 March 2012
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	A plot of the ~~MLE~~ solution is shown next.		A plot of the RRX solution is shown next.

	<math></math>		<math></math>
	[[Image:lastinspectedplot.png\|thumb\|center\|400px\| ]]		[[Image:lastinspectedplot.png\|thumb\|center\|400px\| ]]

Harry Guo at 23:30, 10 February 2012

2012-02-10T23:30:31Z

← 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 ~~8.3~~ - Non-Grouped Data Times-to-Failure with intervals (lnterval and left censored)		\|colspan="3" style="text-align:center"\| Table - Non-Grouped Data Times-to-Failure with intervals (lnterval and left censored)
	\|-		\|-
	!Data point index		!Data point index

Harry Guo at 17:28, 10 February 2012

2012-02-10T17:28:50Z

← Older revision		Revision as of 17:28, 10 February 2012
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	'''Normal Distribution General Example Interval Data'''		'''Normal Distribution General Example Interval Data'''

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

2012-02-10T17:21:27Z

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

New page

'''Normal Distribution General Example Interval 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 8.3 - Non-Grouped Data Times-to-Failure with intervals (lnterval and left censored)
|-
!Data point index
!Last Inspected
!State End Time
|-
|1 ||30||32
|-
|2 ||32||35
|-
|3 ||35||37
|-
|4 ||37||40
|-
|5 ||42||42
|-
|6 ||45||45
|-
|7||50||50
|-
|8||55||55
|}

'''Solution'''

This is a sequence of interval times-to-failure. This data set can be entered into Weibull++ by creating a data sheet that can be used to analyze times-to-failure data with interval and left censored data.

<math></math>
[[Image:lastinspected.png|thumb|center|400px| ]]

[[Image:lastinspectedsheet.png|thumb|center|400px]]

The computed parameters for maximum likelihood are:

::<math>\begin{align}
& \widehat{\mu }= & 41.40 \\
& {{{\hat{\sigma }}}_{T}}= & 7.740.
\end{align}</math>

For rank regression on x:

::<math>\begin{align}
& \widehat{\mu }= & 41.40 \\
& {{{\hat{\sigma }}}_{T}}= & 9.03.
\end{align}</math>

For rank regression on y:

::<math>\begin{align}
& \widehat{\mu }= & 41.39 \\
& {{{\hat{\sigma }}}_{T}}= & 9.25.
\end{align}</math>

A plot of the MLE solution is shown next.

<math></math>
[[Image:lastinspectedplot.png|thumb|center|400px| ]]