Template:Example: Published 3P Weibull Distribution Probability Plot Example - Revision history

Chris Kahn: Redirected page to Weibull Distribution Examples

2012-08-14T02:15:59Z

Redirected page to Weibull Distribution Examples

← Older revision		Revision as of 02:15, 14 August 2012
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	~~'''Published 3P Weibull Distribution Probability Plot Example'''~~		#REDIRECT [[Weibull Distribution Examples]]

	~~From Dimitri Kececioglu, Reliability & Life Testing Handbook, Page 406. [[Appendix: Weibull References\|[20]]].~~

	Estimate the parameters for three-parameter Weibull, for a sample of ten units all tested to failure. The times-to-failure were recorded at 200; 370; 500; 620; 730; 840; 950; 1,050; 1,160; and 1,400 hours.

	~~'''Published Results:'''~~

	~~Published results (using probability plotting):~~

	~~::[[Image:example19formula.png]]~~

	~~'''Computed Results in Weibull++'''~~

	~~Weibull++ computed parameters for rank regression on X are:~~

	~~::[[Image:compexample19formula.png]]~~

	The small difference between the published results and the ones obtained from Weibull++ are due to the difference in the estimation method. In the publication the parameters were estimated using probability plotting (i.e. the fitted line was "eye-balled"). In Weibull++, the parameters were estimated using non-linear regression (a more accurate, mathematically fitted line). Note that γ in this example is negative. This means that the unadjusted for γ line is concave up, as shown next.

	[[~~Image:~~Weibull Distribution ~~Example 19 Plot.png\|center\|450px~~]]

Richard House at 05:43, 6 August 2012

2012-08-06T05:43:43Z

← Older revision		Revision as of 05:43, 6 August 2012
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	Published results (using probability plotting):		Published results (using probability plotting):

	[[Image:example19formula.png]]		::[[Image:example19formula.png]]

	'''Computed Results in Weibull++'''		'''Computed Results in Weibull++'''
Line 15:		Line 15:
	Weibull++ computed parameters for rank regression on X are:		Weibull++ computed parameters for rank regression on X are:

	[[Image:compexample19formula.png]]		::[[Image:compexample19formula.png]]

	The small difference between the published results and the ones obtained from Weibull++ are due to the difference in the estimation method. In the publication the parameters were estimated using probability plotting (i.e. the fitted line was "eye-balled"). In Weibull++, the parameters were estimated using non-linear regression (a more accurate, mathematically fitted line). Note that γ in this example is negative. This means that the unadjusted for γ line is concave up, as shown next.		The small difference between the published results and the ones obtained from Weibull++ are due to the difference in the estimation method. In the publication the parameters were estimated using probability plotting (i.e. the fitted line was "eye-balled"). In Weibull++, the parameters were estimated using non-linear regression (a more accurate, mathematically fitted line). Note that γ in this example is negative. This means that the unadjusted for γ line is concave up, as shown next.

	[[Image:Weibull Distribution Example 19 Plot.png\|center\|450px]]		[[Image:Weibull Distribution Example 19 Plot.png\|center\|450px]]

Richard House at 05:25, 6 August 2012

2012-08-06T05:25:41Z

← Older revision		Revision as of 05:25, 6 August 2012
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	'''Published 3P Weibull Distribution Probability Plot Example'''		'''Published 3P Weibull Distribution Probability Plot Example'''


	From Dimitri Kececioglu, Reliability & Life Testing Handbook, Page 406. [[Appendix: Weibull References\|[20]]].		From Dimitri Kececioglu, Reliability & Life Testing Handbook, Page 406. [[Appendix: Weibull References\|[20]]].

	Estimate the parameters for three-parameter Weibull, for a sample of ten units all tested to failure. The times-to-failure were recorded at 200; 370; 500; 620; 730; 840; 950; 1,050; 1,160; and 1,400 hours.		Estimate the parameters for three-parameter Weibull, for a sample of ten units all tested to failure. The times-to-failure were recorded at 200; 370; 500; 620; 730; 840; 950; 1,050; 1,160; and 1,400 hours.


	'''Published Results:'''		'''Published Results:'''
Line 11:		Line 9:
	Published results (using probability plotting):		Published results (using probability plotting):

	[[Image:example19formula.png~~\|center~~]]		[[Image:example19formula.png]]


	'''Computed Results in Weibull++'''		'''Computed Results in Weibull++'''
Line 18:		Line 15:
	Weibull++ computed parameters for rank regression on X are:		Weibull++ computed parameters for rank regression on X are:

	[[Image:compexample19formula.png~~\|center~~]]		[[Image:compexample19formula.png]]

	The small difference between the published results and the ones obtained from Weibull++ are due to the difference in the estimation method. In the publication the parameters were estimated using probability plotting (i.e. the fitted line was "eye-balled"). In Weibull++, the parameters were estimated using non-linear regression (a more accurate, mathematically fitted line). Note that γ in this example is negative. This means that the unadjusted for γ line is concave up, as shown next.		The small difference between the published results and the ones obtained from Weibull++ are due to the difference in the estimation method. In the publication the parameters were estimated using probability plotting (i.e. the fitted line was "eye-balled"). In Weibull++, the parameters were estimated using non-linear regression (a more accurate, mathematically fitted line). Note that γ in this example is negative. This means that the unadjusted for γ line is concave up, as shown next.

			[[Image:Weibull Distribution Example 19 Plot.png\|center\|450px]]
	[[Image:Weibull Distribution Example 19 Plot.png\|center\|~~250px~~]]

Nicolette Young at 18:26, 25 April 2012

2012-04-25T18:26:47Z

← Older revision		Revision as of 18:26, 25 April 2012
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	[[Image:Weibull Distribution Example 19 Plot.png\|center\|~~400px~~]]		[[Image:Weibull Distribution Example 19 Plot.png\|center\|250px]]

Harry Guo at 23:44, 1 March 2012

2012-03-01T23:44:11Z

← Older revision		Revision as of 23:44, 1 March 2012
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	[[Image:Weibull Distribution Example 19 Plot.png\|center]]		[[Image:Weibull Distribution Example 19 Plot.png\|center\|400px]]

Harry Guo at 23:43, 1 March 2012

2012-03-01T23:43:20Z

← Older revision		Revision as of 23:43, 1 March 2012
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	[[Image:~~example19formula6.11~~.png\|center]]		[[Image:Weibull Distribution Example 19 Plot.png\|center]]

Harry Guo at 21:42, 29 February 2012

2012-02-29T21:42:45Z

← Older revision		Revision as of 21:42, 29 February 2012
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	Estimate the parameters for three-parameter Weibull, for a sample of ten units all tested to failure. The times-to-failure were recorded at 200; 370; 500; 620; 730; 840; 950; 1,050; 1,160; and 1,400 hours.		Estimate the parameters for three-parameter Weibull, for a sample of ten units all tested to failure. The times-to-failure were recorded at 200; 370; 500; 620; 730; 840; 950; 1,050; 1,160; and 1,400 hours.


	'''Published Results:'''		'''Published Results:'''

Harry Guo at 21:42, 29 February 2012

2012-02-29T21:42:36Z

← Older revision		Revision as of 21:42, 29 February 2012
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	==Weibull Distribution Example ~~19: 3-Parameter Probability Plotting==~~		'''Published 3P Weibull Distribution Probability Plot Example'''

	From Dimitri Kececioglu, Reliability & Life Testing Handbook, Page 406 [20].
			From Dimitri Kececioglu, Reliability & Life Testing Handbook, Page 406. [[Appendix: Weibull References\|[20]]].

	Estimate the parameters for three-parameter Weibull, for a sample of ten units all tested to failure. The times-to-failure were recorded at 200; 370; 500; 620; 730; 840; 950; 1,050; 1,160; and 1,400 hours.		Estimate the parameters for three-parameter Weibull, for a sample of ten units all tested to failure. The times-to-failure were recorded at 200; 370; 500; 620; 730; 840; 950; 1,050; 1,160; and 1,400 hours.

	~~===~~Published Results ~~for Weibull Distribution Example 19===~~		'''Published Results:'''

	Published results (using probability plotting):		Published results (using probability plotting):
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	[[Image:example19formula.png\|center]]		[[Image:example19formula.png\|center]]

	~~===~~Computed Results ~~for~~ Weibull ~~Distribution Example 19===~~
			'''Computed Results in Weibull++'''

	Weibull++ computed parameters for rank regression on X are:		Weibull++ computed parameters for rank regression on X are:

Harry Guo: Created page with '==Weibull Distribution Example 19: 3-Parameter Probability Plotting== From Dimitri Kececioglu, Reliability & Life Testing Handbook, Page 406 [20]. Estimate the parameters for t…'

2012-02-29T21:14:58Z

Created page with '==Weibull Distribution Example 19: 3-Parameter Probability Plotting== From Dimitri Kececioglu, Reliability & Life Testing Handbook, Page 406 [20]. Estimate the parameters for t…'

New page

==Weibull Distribution Example 19: 3-Parameter Probability Plotting==

From Dimitri Kececioglu, Reliability & Life Testing Handbook, Page 406 [20].

Estimate the parameters for three-parameter Weibull, for a sample of ten units all tested to failure. The times-to-failure were recorded at 200; 370; 500; 620; 730; 840; 950; 1,050; 1,160; and 1,400 hours.

===Published Results for Weibull Distribution Example 19===

Published results (using probability plotting):

[[Image:example19formula.png|center]]

===Computed Results for Weibull Distribution Example 19===

Weibull++ computed parameters for rank regression on X are:

[[Image:compexample19formula.png|center]]

The small difference between the published results and the ones obtained from Weibull++ are due to the difference in the estimation method. In the publication the parameters were estimated using probability plotting (i.e. the fitted line was "eye-balled"). In Weibull++, the parameters were estimated using non-linear regression (a more accurate, mathematically fitted line). Note that γ in this example is negative. This means that the unadjusted for γ line is concave up, as shown next.

[[Image:example19formula6.11.png|center]]