Template:Three-parameter weibull distribution - Revision history

Sharon Honecker: Removed t>=0.

2017-07-06T17:50:05Z

Removed t>=0.

← Older revision		Revision as of 17:50, 6 July 2017
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	where:		where:

	::<math> f(t)\geq 0,\text{ }t\geq ~~0\text{ or }~~\gamma \,\!</math>		::<math> f(t)\geq 0,\text{ }t\geq \gamma \,\!</math>

	::<math>\beta>0\ \,\!</math>		::<math>\beta>0\ \,\!</math>

2012-09-25T18:35:02Z

← Older revision		Revision as of 18:35, 25 September 2012
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	The 3-parameter Weibull ''pdf'' is given by:		The 3-parameter Weibull ''pdf'' is given by:

	::<math> f(t)={ \frac{\beta }{\eta }}\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta -1}e^{-\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta }} </math>		::<math> f(t)={ \frac{\beta }{\eta }}\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta -1}e^{-\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta }} \,\!</math>

	where:		where:

	::<math> f(t)\geq 0,\text{ }t\geq 0\text{ or }\gamma </math>		::<math> f(t)\geq 0,\text{ }t\geq 0\text{ or }\gamma \,\!</math>

	::<math>\beta>0\ \,\!</math>		::<math>\beta>0\ \,\!</math>
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	::<math> \eta > 0 \,\!</math>		::<math> \eta > 0 \,\!</math>

	::<math> -\infty < \gamma < +\infty </math>		::<math> -\infty < \gamma < +\infty \,\!</math>

	and:		and:

2012-04-24T22:40:48Z

← Older revision		Revision as of 22:40, 24 April 2012
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	The ~~three~~-parameter Weibull ''pdf'' is given by:		The 3-parameter Weibull ''pdf'' is given by:

	::<math> f(t)={ \frac{\beta }{\eta }}\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta -1}e^{-\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta }} </math>		::<math> f(t)={ \frac{\beta }{\eta }}\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta -1}e^{-\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta }} </math>

2012-03-30T21:09:28Z

← Older revision		Revision as of 21:09, 30 March 2012
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	where:		where:

	::<math> f(t)\geq 0,\text{ }t\geq 0\text{ or }\gamma, </math>		::<math> f(t)\geq 0,\text{ }t\geq 0\text{ or }\gamma </math>

	::<math>\beta>0\ \,\!</math>		::<math>\beta>0\ \,\!</math>

2012-03-30T21:09:11Z

Undo revision 23382 by Lisa Hacker (Talk)

← Older revision		Revision as of 21:09, 30 March 2012
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	::<math> f(t)={ \frac{\beta }{\eta }}\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta -1}e^{-\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta }} </math>		::<math> f(t)={ \frac{\beta }{\eta }}\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta -1}e^{-\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta }} </math>

	where:		where:

	::<math> f(t)\geq 0,\text{ }t\geq 0\text{ or }\gamma, </math>		::<math> f(t)\geq 0,\text{ }t\geq 0\text{ or }\gamma, </math>
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	::<math> \eta > 0 \,\!</math>		::<math> \eta > 0 \,\!</math>

	::<math> -\infty < \gamma < +\infty ~~\\!~~</math>		::<math> -\infty < \gamma < +\infty </math>

	and:		and:

2012-03-30T21:08:32Z

← Older revision		Revision as of 21:08, 30 March 2012
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	::<math> f(t)={ \frac{\beta }{\eta }}\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta -1}e^{-\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta }} </math>		::<math> f(t)={ \frac{\beta }{\eta }}\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta -1}e^{-\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta }} </math>

	where,		where:

	::<math> f(t)\geq 0,\text{ }t\geq 0\text{ or }\gamma, </math>		::<math> f(t)\geq 0,\text{ }t\geq 0\text{ or }\gamma, </math>

	::<math>\beta>0\ \,\!</math>,		::<math>\beta>0\ \,\!</math>

	::<math> \eta > 0 \,\!</math>,		::<math> \eta > 0 \,\!</math>

	::<math> -\infty < \gamma < +\infty \,\!</math>		::<math> -\infty < \gamma < +\infty \\!</math>

	and,		and:

	::<math> \eta= \,\!</math> scale parameter, or characteristic life		::<math> \eta= \,\!</math> scale parameter, or characteristic life
	::<math> \beta= \,\!</math> shape parameter (or slope),		::<math> \beta= \,\!</math> shape parameter (or slope)
	::<math> \gamma= \,\!</math> location parameter (or failure free life).		::<math> \gamma= \,\!</math> location parameter (or failure free life)

2012-02-09T21:28:47Z

← Older revision		Revision as of 21:28, 9 February 2012
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	::<math> f(t)={ \frac{\beta }{\eta }}\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta -1}e^{-\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta }} </math>		::<math> f(t)={ \frac{\beta }{\eta }}\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta -1}e^{-\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta }} </math>

	:where,		where,

	::<math> f(t)\geq 0,\text{ }t\geq 0\text{ or }\gamma, </math>		::<math> f(t)\geq 0,\text{ }t\geq 0\text{ or }\gamma, </math>
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	::<math> -\infty < \gamma < +\infty \,\!</math>		::<math> -\infty < \gamma < +\infty \,\!</math>

	:and,		and,

	::<math> \eta= \,\!</math> scale parameter, or characteristic life		::<math> \eta= \,\!</math> scale parameter, or characteristic life
	::<math> \beta= \,\!</math> shape parameter (or slope),		::<math> \beta= \,\!</math> shape parameter (or slope),
	::<math> \gamma= \,\!</math> location parameter (or failure free life).		::<math> \gamma= \,\!</math> location parameter (or failure free life).

2012-02-08T17:42:00Z

The Three-Parameter Weibull Distribution

← Older revision		Revision as of 17:42, 8 February 2012
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	~~=== The Three-Parameter Weibull Distribution ===~~

	The three-parameter Weibull ''pdf'' is given by:		The three-parameter Weibull ''pdf'' is given by:

2012-02-03T19:12:01Z

← Older revision		Revision as of 19:12, 3 February 2012
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	:where,		:where,

	::<math> f(t)\geq 0,\text{ }T\geq 0\text{ or }\gamma, </math>		::<math> f(t)\geq 0,\text{ }t\geq 0\text{ or }\gamma, </math>

	::<math>\beta>0\ \,\!</math>,		::<math>\beta>0\ \,\!</math>,

2012-02-03T19:11:23Z

← Older revision		Revision as of 19:11, 3 February 2012
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	The three-parameter Weibull ''pdf'' is given by:		The three-parameter Weibull ''pdf'' is given by:

	::<math> f(T)={ \frac{\beta }{\eta }}\left( {\frac{T-\gamma }{\eta }}\right) ^{\beta -1}e^{-\left( {\frac{T-\gamma }{\eta }}\right) ^{\beta }} </math>		::<math> f(t)={ \frac{\beta }{\eta }}\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta -1}e^{-\left( {\frac{t-\gamma }{\eta }}\right) ^{\beta }} </math>

	:where,		:where,

	::<math> f(T)\geq 0,\text{ }T\geq 0\text{ or }\gamma, </math>		::<math> f(t)\geq 0,\text{ }T\geq 0\text{ or }\gamma, </math>

	::<math>\beta>0\ \,\!</math>,		::<math>\beta>0\ \,\!</math>,