Template:Example: Recurrent Events Data Parameteric Air-Condition Example - Revision history

Kate Racaza: redirect

2012-07-31T04:33:27Z

redirect

← Older revision		Revision as of 04:33, 31 July 2012
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	~~'''Recurrent Event Data Analysis Parametric Air-Condition Example'''~~		#REDIRECT[[Example:_Parametric_RDA_-_Air_Condition_Unit]]

	~~The following table gives the failure times of the air-condition unit of an aircraft. The observation ended by the time the last failure occurred. ~~[[~~Appendix: Weibull References\|[3]]]~~
	~~<center><math>\begin{matrix}~~
	~~\text{50} & \text{329} & \text{811} & \text{991} & \text{1489} \\~~
	~~\text{94} & \text{332} & \text{899} & \text{1013} & \text{1512} \\~~
	~~\text{196} & \text{347} & \text{945} & \text{1152} & \text{1525} \\~~
	~~\text{268} & \text{544} & \text{950} & \text{1362} & \text{1539} \\~~
	~~\text{290} & \text{732} & \text{955} & \text{1459} & {} \\~~
	~~\end{matrix}</math></center>~~
	~~:1. Estimate the GRP model parameters using the Type I virtual age option.~~

	~~:2. Plot the failure number and instantaneous failure intensity vs. time with 90% two-sided confidence bounds.~~

	~~:3. Plot the conditional reliability vs. time with 90% two-sided confidence bounds. The mission start time is 40 and mission time is varying.~~

	~~:4. Using the QCP, calculate the expected failure number and expected instantaneous failure intensity by time 1800.~~

	~~<br>'''Solution'''~~

	~~Enter the data into a parametric RDA folio in Weibull++. Choose '''3''' under Parameters and '''Type I''' under Settings. Keep the default simulation settings.~~

	:~~1. The estimated parameters are <math>\hat{\beta }=1.1976,</math> <math>\hat{\lambda }=4.94E~~-~~03,</math> <math>\hat{q}=0.1344</math> .~~

	~~:2. The failure number and instantaneous failure intensity are given in the following plots.~~

	~~[[Image:Parametric RDA N(T) plot.png\|thumb\|center\|250px]]~~

	~~[[Image:Parametric RDA Lambda(T) plot.png\|thumb\|center\|250px]]~~

	~~:3. The conditional reliability is plotted below.~~

	~~[[Image:Parametric RDA Cond R(T) plot.png\|thumb\|center\|250px]]~~

	~~:4. Using QCP, the failure number and instantaneous failure intensity are:~~

	~~[[Image:QCP N(T).png\|thumb\|center\|300px]]~~

	~~[[Image:QCP Lambda(T).png\|thumb\|center\|300px~~]]

Nicolette Young at 23:03, 25 April 2012

2012-04-25T23:03:48Z

← Older revision		Revision as of 23:03, 25 April 2012
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	:2. The failure number and instantaneous failure intensity are given in the following plots.		:2. The failure number and instantaneous failure intensity are given in the following plots.

	[[Image:Parametric RDA N(T) plot.png\|thumb\|center\|~~400px~~]]		[[Image:Parametric RDA N(T) plot.png\|thumb\|center\|250px]]

	[[Image:Parametric RDA Lambda(T) plot.png\|thumb\|center\|~~400px~~]]		[[Image:Parametric RDA Lambda(T) plot.png\|thumb\|center\|250px]]

	:3. The conditional reliability is plotted below.		:3. The conditional reliability is plotted below.

	[[Image:Parametric RDA Cond R(T) plot.png\|thumb\|center\|~~400px~~]]		[[Image:Parametric RDA Cond R(T) plot.png\|thumb\|center\|250px]]

	:4. Using QCP, the failure number and instantaneous failure intensity are:		:4. Using QCP, the failure number and instantaneous failure intensity are:

	[[Image:QCP N(T).png\|thumb\|center\|~~400px~~]]		[[Image:QCP N(T).png\|thumb\|center\|300px]]

	[[Image:QCP Lambda(T).png\|thumb\|center\|~~400px~~]]		[[Image:QCP Lambda(T).png\|thumb\|center\|300px]]

Nikki Helms at 17:33, 23 March 2012

2012-03-23T17:33:34Z

← Older revision		Revision as of 17:33, 23 March 2012
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	~~[[Recurrent Event Data Analysis Parametric Air-Condition Example]]~~
	'''Recurrent Event Data Analysis Parametric Air-Condition Example'''		'''Recurrent Event Data Analysis Parametric Air-Condition Example'''

Nikki Helms at 17:31, 23 March 2012

2012-03-23T17:31:31Z

← Older revision		Revision as of 17:31, 23 March 2012
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			[[Recurrent Event Data Analysis Parametric Air-Condition Example]]
	'''Recurrent Event Data Analysis Parametric Air-Condition Example'''		'''Recurrent Event Data Analysis Parametric Air-Condition Example'''

Kate Racaza at 23:45, 16 March 2012

2012-03-16T23:45:41Z

← Older revision		Revision as of 23:45, 16 March 2012
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	'''Recurrent ~~Events~~ Data Parametric Air-Condition Example'''		'''Recurrent Event Data Analysis Parametric Air-Condition Example'''

	The following table gives the failure times of the air-condition unit of an aircraft. The observation ended by the time the last failure occurred. [[Appendix: Weibull References\|[3]]]		The following table gives the failure times of the air-condition unit of an aircraft. The observation ended by the time the last failure occurred. [[Appendix: Weibull References\|[3]]]

Kate Racaza at 17:30, 8 March 2012

2012-03-08T17:30:33Z

← Older revision		Revision as of 17:30, 8 March 2012
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	'''Recurrent Events Data Parametric Air-Condition Example'''		'''Recurrent Events Data Parametric Air-Condition Example'''

	The following table gives the failure times of the air-condition unit of an aircraft. The observation ended by the time of the failure occurred. [[Appendix: Weibull References\|[3]]]		The following table gives the failure times of the air-condition unit of an aircraft. The observation ended by the time the last failure occurred. [[Appendix: Weibull References\|[3]]]
	<center><math>\begin{matrix}		<center><math>\begin{matrix}
	\text{50} & \text{329} & \text{811} & \text{991} & \text{1489} \\		\text{50} & \text{329} & \text{811} & \text{991} & \text{1489} \\

Kate Racaza at 16:17, 8 March 2012

2012-03-08T16:17:38Z

← Older revision		Revision as of 16:17, 8 March 2012
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	''' Recurrent Events Data ~~Parameteric~~ Air-Condition Example'''		'''Recurrent Events Data Parametric Air-Condition Example'''

	~~The following table gives the failure times of the air-condition unit of an aircraft. The observation is ended by the time of the last failure [[Appendix: Weibull References\|[3]]].~~

			The following table gives the failure times of the air-condition unit of an aircraft. The observation ended by the time of the failure occurred. [[Appendix: Weibull References\|[3]]]
	<center><math>\begin{matrix}		<center><math>\begin{matrix}
	\text{50} & \text{329} & \text{811} & \text{991} & \text{1489} \\		\text{50} & \text{329} & \text{811} & \text{991} & \text{1489} \\
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	\text{290} & \text{732} & \text{955} & \text{1459} & {} \\		\text{290} & \text{732} & \text{955} & \text{1459} & {} \\
	\end{matrix}</math></center>		\end{matrix}</math></center>

	:1. Estimate the GRP model parameters using the Type I virtual age option.		:1. Estimate the GRP model parameters using the Type I virtual age option.

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	:4. Using the QCP, calculate the expected failure number and expected instantaneous failure intensity by time 1800.		:4. Using the QCP, calculate the expected failure number and expected instantaneous failure intensity by time 1800.

			<br>'''Solution'''

	~~'''Solution'''~~		Enter the data into a parametric RDA folio in Weibull++. Choose '''3''' under Parameters and '''Type I''' under Settings. Keep the default simulation settings.

	Enter the data into a ~~Parametric~~ RDA ~~Specialized Folio~~ in Weibull++. Choose 3 under Parameters and Type I under Settings. Keep the default simulation settings.

	:1. The estimated parameters are <math>\hat{\beta }=1.1976,</math> <math>\hat{\lambda }=4.94E-03,</math> <math>\hat{q}=0.1344</math> .		:1. The estimated parameters are <math>\hat{\beta }=1.1976,</math> <math>\hat{\lambda }=4.94E-03,</math> <math>\hat{q}=0.1344</math> .

	:2. The failure number and instantaneous failure intensity are given in the following plots.		:2. The failure number and instantaneous failure intensity are given in the following plots.

	[[Image:Parametric RDA N(T) plot.png\|thumb\|center\|400px\| ]]		[[Image:Parametric RDA N(T) plot.png\|thumb\|center\|400px]]

	[[Image:Parametric RDA Lambda(T) plot.png\|thumb\|center\|400px\| ]]		[[Image:Parametric RDA Lambda(T) plot.png\|thumb\|center\|400px]]

	:3. The conditional reliability is plotted below.		:3. The conditional reliability is plotted below.

	[[Image:Parametric RDA Cond R(T) plot.png\|thumb\|center\|400px\| ]]		[[Image:Parametric RDA Cond R(T) plot.png\|thumb\|center\|400px]]

	:4. Using QCP, the failure number and instantaneous failure intensity are:		:4. Using QCP, the failure number and instantaneous failure intensity are:

	[[Image:QCP N(T).png\|thumb\|center\|400px\| ]]		[[Image:QCP N(T).png\|thumb\|center\|400px]]

	[[Image:QCP Lambda(T).png\|thumb\|center\|400px\| ]]		[[Image:QCP Lambda(T).png\|thumb\|center\|400px]]

Harry Guo at 18:58, 22 February 2012

2012-02-22T18:58:09Z

← Older revision		Revision as of 18:58, 22 February 2012
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	:2. The failure number and instantaneous failure intensity are given in the following plots.		:2. The failure number and instantaneous failure intensity are given in the following plots.

	[[Image:~~lda18~~.~~1.gif~~\|thumb\|center\|400px\| ]]		[[Image:Parametric RDA N(T) plot.png\|thumb\|center\|400px\| ]]

	[[Image:~~lda18~~.~~2.gif~~\|thumb\|center\|400px\| ]]		[[Image:Parametric RDA Lambda(T) plot.png\|thumb\|center\|400px\| ]]

	:3. The conditional reliability is plotted below.		:3. The conditional reliability is plotted below.

	[[Image:~~lda18~~.~~3.gif~~\|thumb\|center\|400px\| ]]		[[Image:Parametric RDA Cond R(T) plot.png\|thumb\|center\|400px\| ]]

	:4. Using QCP, the failure number and instantaneous failure intensity are:		:4. Using QCP, the failure number and instantaneous failure intensity are:

	~~<br>~~		[[Image:QCP N(T).png\|thumb\|center\|400px\| ]]

			[[Image:QCP Lambda(T).png\|thumb\|center\|400px\| ]]

Harry Guo at 18:44, 22 February 2012

2012-02-22T18:44:02Z

← Older revision		Revision as of 18:44, 22 February 2012
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	''' Recurrent Events Data Parameteric Air-Condition Example'''		''' Recurrent Events Data Parameteric Air-Condition Example'''

	The following table gives the failure times of the air-condition unit of an aircraft. The observation is ended by the time of the last failure [3].		The following table gives the failure times of the air-condition unit of an aircraft. The observation is ended by the time of the last failure [[Appendix: Weibull References\|[3]]].

	<center><math>\begin{matrix}		<center><math>\begin{matrix}

Harry Guo: /* Parametric RDA Example */

2012-02-22T17:49:48Z

Parametric RDA Example

← Older revision		Revision as of 17:49, 22 February 2012
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	~~====Parametric RDA~~ Example~~====~~		''' Recurrent Events Data Parameteric Air-Condition Example'''

	The following table gives the failure times of the air-condition unit of an aircraft. The observation is ended by the time of the last failure [3].		The following table gives the failure times of the air-condition unit of an aircraft. The observation is ended by the time of the last failure [3].

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	:4. Using the QCP, calculate the expected failure number and expected instantaneous failure intensity by time 1800.		:4. Using the QCP, calculate the expected failure number and expected instantaneous failure intensity by time 1800.

	~~=====~~Solution~~=====~~
			'''Solution'''

	Enter the data into a Parametric RDA Specialized Folio in Weibull++. Choose 3 under Parameters and Type I under Settings. Keep the default simulation settings.		Enter the data into a Parametric RDA Specialized Folio in Weibull++. Choose 3 under Parameters and Type I under Settings. Keep the default simulation settings.