Template:Example: Logistic distribution example - Revision history

Lisa Hacker: Redirected page to Example: Logistic Distribution

2012-08-15T06:40:38Z

Redirected page to Example: Logistic Distribution

← Older revision		Revision as of 06:40, 15 August 2012
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	[[~~Category~~: ~~For Deletion~~]]		#REDIRECT [[Example:_Logistic_Distribution]]

Kate Racaza: Replaced content with 'Category: For Deletion'

2012-07-23T09:36:08Z

Replaced content with 'Category: For Deletion'

← Older revision		Revision as of 09:36, 23 July 2012
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	~~'''A Logistic Distribution Example'''~~		[[Category: For Deletion]]

	~~The lifetime of a mechanical valve is known to follow a logistic distribution. Ten units were tested for 28 months and the following months-to-failure data was collected.~~

	~~<center><math>\overset{{}}{\mathop{\text{Table 10}\text{.1 - Times-to-Failure Data with Suspensions}}}\,</math></center>~~
	~~<center><math>\begin{matrix}~~
	~~\text{Data Point Index} & \text{State F or S} & \text{State End Time} \\~~
	~~\text{1} & \text{F} & \text{8} \\~~
	~~\text{2} & \text{F} & \text{10} \\~~
	~~\text{3} & \text{F} & \text{15} \\~~
	~~\text{4} & \text{F} & \text{17} \\~~
	~~\text{5} & \text{F} & \text{19} \\~~
	~~\text{6} & \text{F} & \text{26} \\~~
	~~\text{7} & \text{F} & \text{27} \\~~
	~~\text{8} & \text{S} & \text{28} \\~~
	~~\text{9} & \text{S} & \text{28} \\~~
	~~\text{10} & \text{S} & \text{28} \\~~
	~~\end{matrix}</math></center>~~

	~~:* Determine the valve's design life if specifications call for a reliability goal of 0.90.~~
	~~:* The valve is to be used in a pumping device that requires 1 month of continuous operation. What is the probability of the pump failing due to the valve?~~

	~~This data set can be entered into Weibull++ as follows:~~

	~~[[Image:Logistic Distribution Exmaple 1 Data.png\|thumb\|center\|250px\| ]]~~

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

	~~::<math>\begin{align}~~
	~~& \widehat{\mu }= & 22.34 \\~~
	~~& \hat{\sigma }= & 6.15~~
	~~\end{align}</math>~~

	~~:* The valve's design life, along with 90% two sided confidence bounds, can be obtained using the QCP as follows:~~

	~~[[Image:Logistic Distribution Exmaple 1 QCP Reliable Life.png\|thumb\|center\|300px\| ]]~~

	~~:* The probability, along with 90% two sided confidence bounds, that the pump fails due to a valve failure during the first month is obtained as follows:~~


	[[~~Image~~:~~Logistic Distribution Exmaple 1 QCP Reliability.png\|thumb\|center\|300px\|~~ ]]

Kate Racaza: removed link to http://reliawiki.org/index.php/Example:_Logistic_Distribution

2012-07-10T12:15:57Z

removed link to http://reliawiki.org/index.php/Example:_Logistic_Distribution

← Older revision		Revision as of 12:15, 10 July 2012
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	'''A Logistic Distribution Example'''		'''A Logistic Distribution Example'''
	~~[[Example: Logistic Distribution]]~~
	The lifetime of a mechanical valve is known to follow a logistic distribution. Ten units were tested for 28 months and the following months-to-failure data was collected.		The lifetime of a mechanical valve is known to follow a logistic distribution. Ten units were tested for 28 months and the following months-to-failure data was collected.

Nicolette Young at 21:58, 25 April 2012

2012-04-25T21:58:35Z

← Older revision		Revision as of 21:58, 25 April 2012
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	This data set can be entered into Weibull++ as follows:		This data set can be entered into Weibull++ as follows:

	[[Image:Logistic Distribution Exmaple 1 Data.png\|thumb\|center\|~~400px~~\| ]]		[[Image:Logistic Distribution Exmaple 1 Data.png\|thumb\|center\|250px\| ]]

	The computed parameters for maximum likelihood are:		The computed parameters for maximum likelihood are:
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	:* The valve's design life, along with 90% two sided confidence bounds, can be obtained using the QCP as follows:		:* The valve's design life, along with 90% two sided confidence bounds, can be obtained using the QCP as follows:

	[[Image:Logistic Distribution Exmaple 1 QCP Reliable Life.png\|thumb\|center\|~~400px~~\| ]]		[[Image:Logistic Distribution Exmaple 1 QCP Reliable Life.png\|thumb\|center\|300px\| ]]

	:* The probability, along with 90% two sided confidence bounds, that the pump fails due to a valve failure during the first month is obtained as follows:		:* The probability, along with 90% two sided confidence bounds, that the pump fails due to a valve failure during the first month is obtained as follows:


	[[Image:Logistic Distribution Exmaple 1 QCP Reliability.png\|thumb\|center\|~~400px~~\| ]]		[[Image:Logistic Distribution Exmaple 1 QCP Reliability.png\|thumb\|center\|300px\| ]]

Nicolette Young at 23:45, 21 March 2012

2012-03-21T23:45:14Z

← Older revision		Revision as of 23:45, 21 March 2012
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	'''A Logistic Distribution Example'''		'''A Logistic Distribution Example'''
			[[Example: Logistic Distribution]]
	The lifetime of a mechanical valve is known to follow a logistic distribution. Ten units were tested for 28 months and the following months-to-failure data was collected.		The lifetime of a mechanical valve is known to follow a logistic distribution. Ten units were tested for 28 months and the following months-to-failure data was collected.

Harry Guo at 17:41, 2 March 2012

2012-03-02T17:41:52Z

← Older revision		Revision as of 17:41, 2 March 2012
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	:* The valve's design life, along with 90% two sided confidence bounds, can be obtained using the QCP as follows:		:* The valve's design life, along with 90% two sided confidence bounds, can be obtained using the QCP as follows:

	[[Image:Logistic Distribution Exmaple 1 QCP Reliable Life.png\|thumb\|center\|~~300px~~\| ]]		[[Image:Logistic Distribution Exmaple 1 QCP Reliable Life.png\|thumb\|center\|400px\| ]]

	:* The probability, along with 90% two sided confidence bounds, that the pump fails due to a valve failure during the first month is obtained as follows:		:* The probability, along with 90% two sided confidence bounds, that the pump fails due to a valve failure during the first month is obtained as follows:


	[[Image:Logistic Distribution Exmaple 1 QCP Reliability.png\|thumb\|center\|~~300px~~\| ]]		[[Image:Logistic Distribution Exmaple 1 QCP Reliability.png\|thumb\|center\|400px\| ]]

Harry Guo at 17:40, 2 March 2012

2012-03-02T17:40:47Z

← Older revision		Revision as of 17:40, 2 March 2012
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	This data set can be entered into Weibull++ as follows:		This data set can be entered into Weibull++ as follows:

	[[Image:~~sof-folio~~.png\|thumb\|center\|400px\| ]]		[[Image:Logistic Distribution Exmaple 1 Data.png\|thumb\|center\|400px\| ]]

	The computed parameters for maximum likelihood are:		The computed parameters for maximum likelihood are:
Line 34:		Line 34:
	:* The valve's design life, along with 90% two sided confidence bounds, can be obtained using the QCP as follows:		:* The valve's design life, along with 90% two sided confidence bounds, can be obtained using the QCP as follows:

	[[Image:~~ldaLD10~~.~~6.gif~~\|thumb\|center\|300px\| ]]		[[Image:Logistic Distribution Exmaple 1 QCP Reliable Life.png\|thumb\|center\|300px\| ]]

	:* The probability, along with 90% two sided confidence bounds, that the pump fails due to a valve failure during the first month is obtained as follows:		:* The probability, along with 90% two sided confidence bounds, that the pump fails due to a valve failure during the first month is obtained as follows:


	[[Image:~~ldaLD10~~.~~7.gif~~\|thumb\|center\|300px\| ]]		[[Image:Logistic Distribution Exmaple 1 QCP Reliability.png\|thumb\|center\|300px\| ]]

Harry Guo at 23:36, 14 February 2012

2012-02-14T23:36:42Z

← Older revision		Revision as of 23:36, 14 February 2012
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	\end{matrix}</math></center>		\end{matrix}</math></center>

	:• Determine the valve's design life if specifications call for a reliability goal of 0.90.		:* Determine the valve's design life if specifications call for a reliability goal of 0.90.
	:• The valve is to be used in a pumping device that requires 1 month of continuous operation. What is the probability of the pump failing due to the valve?		:* The valve is to be used in a pumping device that requires 1 month of continuous operation. What is the probability of the pump failing due to the valve?

	This data set can be entered into Weibull++ as follows:		This data set can be entered into Weibull++ as follows:
Line 32:		Line 32:
	\end{align}</math>		\end{align}</math>

	:• The valve's design life, along with 90% two sided confidence bounds, can be obtained using the QCP as follows:		:* The valve's design life, along with 90% two sided confidence bounds, can be obtained using the QCP as follows:

	[[Image:ldaLD10.6.gif\|thumb\|center\|300px\| ]]		[[Image:ldaLD10.6.gif\|thumb\|center\|300px\| ]]

	:• The probability, along with 90% two sided confidence bounds, that the pump fails due to a valve failure during the first month is obtained as follows:		:* The probability, along with 90% two sided confidence bounds, that the pump fails due to a valve failure during the first month is obtained as follows:


	[[Image:ldaLD10.7.gif\|thumb\|center\|300px\| ]]		[[Image:ldaLD10.7.gif\|thumb\|center\|300px\| ]]

Harry Guo: moved Template:Logistic distribution example to Template:Example: Logistic distribution example

2012-02-14T22:49:05Z

moved Template:Logistic distribution example to Template:Example: Logistic distribution example

← Older revision	Revision as of 22:49, 14 February 2012
(No difference)

Harry Guo at 22:48, 14 February 2012

2012-02-14T22:48:47Z

← Older revision		Revision as of 22:48, 14 February 2012
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	~~=====~~A Logistic Distribution Example~~=====~~		'''A Logistic Distribution Example'''

	The lifetime of a mechanical valve is known to follow a logistic distribution. Ten units were tested for 28 months and the following months-to-failure data was collected.		The lifetime of a mechanical valve is known to follow a logistic distribution. Ten units were tested for 28 months and the following months-to-failure data was collected.