Template:Example: Lognormal Distribution Bayesian Bound (Parameters) - Revision history

Lisa Hacker: Redirected page to The Lognormal Distribution

2012-08-13T03:47:11Z

Redirected page to The Lognormal Distribution

← Older revision		Revision as of 03:47, 13 August 2012
Line 1:		Line 1:
	~~'''Lognormal Distribution Bayesian Bound Example (Parameters)'''~~		#REDIRECT [[The Lognormal Distribution]]

	~~Determine the two-sided 90% Bayesian confidence bounds on the lognormal parameter estimates for the data given next:~~

	~~<center><math>\begin{matrix}~~
	~~\text{Data Point Index} & \text{State End Time} \\~~
	~~\text{1} & \text{2} \\~~
	~~\text{2} & \text{5} \\~~
	~~\text{3} & \text{11} \\~~
	~~\text{4} & \text{23} \\~~
	~~\text{5} & \text{29} \\~~
	~~\text{6} & \text{37} \\~~
	~~\text{7} & \text{43} \\~~
	~~\text{8} & \text{59} \\~~
	~~\end{matrix}</math></center>~~

	~~'''Solution'''~~

	The data is entered into a Times-to-failure data sheet. The lognormal distribution is selected under Distributions. The Bayesian confidence bounds method only applies for the MLE analysis method, therefore, Maximum Likelihood (MLE) is selected under Analysis Method and Use Bayesian is selected under the Confidence Bounds Method in the Analysis tab.

	~~The two-sided 90% Bayesian confidence bounds on the lognormal parameter are obtained using the QCP and clicking on the Calculate Bounds button in the Parameter Bounds tab as follows:~~

	~~<math></math>~~
	[[~~Image:Lognormal Distribution Example 8 QCP.png\|center\|550px\| ]]~~


	~~[[Image:~~Lognormal Distribution ~~Example 8 Parameter Bounds.png\|center\|500px\|~~ ]]

Richard House at 05:05, 8 August 2012

2012-08-08T05:05:22Z

← Older revision		Revision as of 05:05, 8 August 2012
Line 2:		Line 2:

	Determine the two-sided 90% Bayesian confidence bounds on the lognormal parameter estimates for the data given next:		Determine the two-sided 90% Bayesian confidence bounds on the lognormal parameter estimates for the data given next:


	<center><math>\begin{matrix}		<center><math>\begin{matrix}
Line 19:		Line 18:

	The data is entered into a Times-to-failure data sheet. The lognormal distribution is selected under Distributions. The Bayesian confidence bounds method only applies for the MLE analysis method, therefore, Maximum Likelihood (MLE) is selected under Analysis Method and Use Bayesian is selected under the Confidence Bounds Method in the Analysis tab.		The data is entered into a Times-to-failure data sheet. The lognormal distribution is selected under Distributions. The Bayesian confidence bounds method only applies for the MLE analysis method, therefore, Maximum Likelihood (MLE) is selected under Analysis Method and Use Bayesian is selected under the Confidence Bounds Method in the Analysis tab.


	The two-sided 90% Bayesian confidence bounds on the lognormal parameter are obtained using the QCP and clicking on the Calculate Bounds button in the Parameter Bounds tab as follows:		The two-sided 90% Bayesian confidence bounds on the lognormal parameter are obtained using the QCP and clicking on the Calculate Bounds button in the Parameter Bounds tab as follows:

			<math></math>
			[[Image:Lognormal Distribution Example 8 QCP.png\|center\|550px\| ]]

	~~<math></math>~~
	~~[[Image:Lognormal Distribution Example 8 QCP.png\|thumb\|center\|300px\| ]]~~

	[[Image:Lognormal Distribution Example 8 Parameter Bounds.png~~\|thumb~~\|center\|~~300px~~\| ]]		[[Image:Lognormal Distribution Example 8 Parameter Bounds.png\|center\|500px\| ]]

Nicolette Young at 21:22, 25 April 2012

2012-04-25T21:22:22Z

← Older revision		Revision as of 21:22, 25 April 2012
Line 25:		Line 25:

	<math></math>		<math></math>
	[[Image:Lognormal Distribution Example 8 QCP.png\|thumb\|center\|~~400px~~\| ]]		[[Image:Lognormal Distribution Example 8 QCP.png\|thumb\|center\|300px\| ]]

	[[Image:Lognormal Distribution Example 8 Parameter Bounds.png\|thumb\|center\|~~400px~~\| ]]		[[Image:Lognormal Distribution Example 8 Parameter Bounds.png\|thumb\|center\|300px\| ]]

Harry Guo at 17:01, 2 March 2012

2012-03-02T17:01:58Z

← Older revision		Revision as of 17:01, 2 March 2012
Line 25:		Line 25:

	<math></math>		<math></math>
	[[Image:~~parameterQCP~~.png\|thumb\|center\|400px\| ]]		[[Image:Lognormal Distribution Example 8 QCP.png\|thumb\|center\|400px\| ]]

	[[Image:~~QCPreport~~.png\|thumb\|center\|400px\| ]]		[[Image:Lognormal Distribution Example 8 Parameter Bounds.png\|thumb\|center\|400px\| ]]

Harry Guo: Created page with ''''Lognormal Distribution Bayesian Bound Example (Parameters)''' Determine the two-sided 90% Bayesian confidence bounds on the lognormal parameter estimates for the data given n…'

2012-02-13T18:55:02Z

Created page with ''''Lognormal Distribution Bayesian Bound Example (Parameters)''' Determine the two-sided 90% Bayesian confidence bounds on the lognormal parameter estimates for the data given n…'

New page

'''Lognormal Distribution Bayesian Bound Example (Parameters)'''

Determine the two-sided 90% Bayesian confidence bounds on the lognormal parameter estimates for the data given next:

<center><math>\begin{matrix}
\text{Data Point Index} & \text{State End Time} \\
\text{1} & \text{2} \\
\text{2} & \text{5} \\
\text{3} & \text{11} \\
\text{4} & \text{23} \\
\text{5} & \text{29} \\
\text{6} & \text{37} \\
\text{7} & \text{43} \\
\text{8} & \text{59} \\
\end{matrix}</math></center>

'''Solution'''

The data is entered into a Times-to-failure data sheet. The lognormal distribution is selected under Distributions. The Bayesian confidence bounds method only applies for the MLE analysis method, therefore, Maximum Likelihood (MLE) is selected under Analysis Method and Use Bayesian is selected under the Confidence Bounds Method in the Analysis tab.

The two-sided 90% Bayesian confidence bounds on the lognormal parameter are obtained using the QCP and clicking on the Calculate Bounds button in the Parameter Bounds tab as follows:

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

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