Template:Lognormal distribution mean - Revision history

Richard House: Redirected page to Lognormal Distribution Functions

2012-08-13T05:07:20Z

Redirected page to Lognormal Distribution Functions

← Older revision		Revision as of 05:07, 13 August 2012
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	~~===The Mean or MTTF===~~		#REDIRECT [[Lognormal Distribution Functions]]
	~~The mean of the lognormal distribution, <math>\mu </math> , is given by~~ [[~~Appendix: Weibull References\|[18]~~]]:

	~~::<math>\mu ={{e}^{{\mu }'+\tfrac{1}{2}\sigma'^{2}}}</math>~~


	~~The mean of the natural logarithms of the times-to-failure, <math>\mu'</math> , in terms of <math>\bar{T}</math> and <math>{{\sigma}}</math> is givgen by:~~

	~~::<math>{\mu }'=\ln \left( {\bar{T}} \right)-\frac{1}{2}\ln \left( \frac{\sigma^{2}}{{{{\bar{T}}}^{2}}}+1 \right)</math>~~

Harry Guo: /* The Mean or MTTF */

2012-02-13T20:55:03Z

The Mean or MTTF

← Older revision		Revision as of 20:55, 13 February 2012
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	The mean of the natural logarithms of the times-to-failure, <math>\mu'</math> , in terms of <math>\bar{T}</math> and <math>{{\sigma'}}</math> is givgen by:		The mean of the natural logarithms of the times-to-failure, <math>\mu'</math> , in terms of <math>\bar{T}</math> and <math>{{\sigma}}</math> is givgen by:

	::<math>{\mu }'=\ln \left( {\bar{T}} \right)-\frac{1}{2}\ln \left( \frac{\sigma'^{2}}{{{{\bar{T}}}^{2}}}+1 \right)</math>		::<math>{\mu }'=\ln \left( {\bar{T}} \right)-\frac{1}{2}\ln \left( \frac{\sigma^{2}}{{{{\bar{T}}}^{2}}}+1 \right)</math>

Harry Guo: /* The Mean or MTTF */

2012-02-13T16:42:45Z

The Mean or MTTF

← Older revision		Revision as of 16:42, 13 February 2012
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	The mean of the natural logarithms of the times-to-failure, <math>\mu'</math> , in terms of <math>\bar{T}</math> and <math>{{\sigma }}</math> is givgen by:		The mean of the natural logarithms of the times-to-failure, <math>\mu'</math> , in terms of <math>\bar{T}</math> and <math>{{\sigma'}}</math> is givgen by:

	::<math>{\mu }'=\ln \left( {\bar{T}} \right)-\frac{1}{2}\ln \left( \frac{\sigma^{2}}{{{{\bar{T}}}^{2}}}+1 \right)</math>		::<math>{\mu }'=\ln \left( {\bar{T}} \right)-\frac{1}{2}\ln \left( \frac{\sigma'^{2}}{{{{\bar{T}}}^{2}}}+1 \right)</math>

Harry Guo: /* The Mean or MTTF */

2012-02-13T16:41:54Z

The Mean or MTTF

← Older revision		Revision as of 16:41, 13 February 2012
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	===The Mean or MTTF===		===The Mean or MTTF===
	The mean of the lognormal distribution, <math>\mu </math> , is given by [18]:		The mean of the lognormal distribution, <math>\mu </math> , is given by [[Appendix: Weibull References\|[18]]]:

	::<math>\mu ={{e}^{{\mu }'+\tfrac{1}{2}\sigma ~~_{{{T}~~'}}^{2}}}</math>		::<math>\mu ={{e}^{{\mu }'+\tfrac{1}{2}\sigma'^{2}}}</math>


	The mean of the natural logarithms of the times-to-failure, <math>\mu'</math> , in terms of <math>\bar{T}</math> and <math>{{\sigma ~~}_{T~~}}</math> is givgen by:		The mean of the natural logarithms of the times-to-failure, <math>\mu'</math> , in terms of <math>\bar{T}</math> and <math>{{\sigma }}</math> is givgen by:

	::<math>{\mu }'=\ln \left( {\bar{T}} \right)-\frac{1}{2}\ln \left( \frac{\sigma ~~_{T}~~^{2}}{{{{\bar{T}}}^{2}}}+1 \right)</math>		::<math>{\mu }'=\ln \left( {\bar{T}} \right)-\frac{1}{2}\ln \left( \frac{\sigma^{2}}{{{{\bar{T}}}^{2}}}+1 \right)</math>

Harry Guo: moved Template:Ld mean to Template:Lognormal distribution mean

2012-02-13T16:18:04Z

moved Template:Ld mean to Template:Lognormal distribution mean

← Older revision	Revision as of 16:18, 13 February 2012
(No difference)

Nicolette Young: Created page with '===The Mean or MTTF=== The mean of the lognormal distribution, $\mu$ , is given by [18]: :: $\mu ={{e}^{{\mu }'+\tfrac{1}{2}\sigma _{{{T}'}}^{2}}}$ The…'

2012-01-04T18:18:28Z

Created page with '===The Mean or MTTF=== The mean of the lognormal distribution, <math>\mu </math> , is given by [18]: ::<math>\mu ={{e}^{{\mu }'+\tfrac{1}{2}\sigma _{{{T}'}}^{2}}}</math> The…'

New page

===The Mean or MTTF===
The mean of the lognormal distribution, <math>\mu </math> , is given by [18]:

::<math>\mu ={{e}^{{\mu }'+\tfrac{1}{2}\sigma _{{{T}'}}^{2}}}</math>

The mean of the natural logarithms of the times-to-failure, <math>\mu'</math> , in terms of <math>\bar{T}</math> and <math>{{\sigma }_{T}}</math> is givgen by:

::<math>{\mu }'=\ln \left( {\bar{T}} \right)-\frac{1}{2}\ln \left( \frac{\sigma _{T}^{2}}{{{{\bar{T}}}^{2}}}+1 \right)</math>

Template:Lognormal distribution mean - Revision history

Richard House: Redirected page to Lognormal Distribution Functions

Harry Guo: /* The Mean or MTTF */

Harry Guo: /* The Mean or MTTF */

Harry Guo: /* The Mean or MTTF */

Harry Guo: moved Template:Ld mean to Template:Lognormal distribution mean

Nicolette Young: Created page with '===The Mean or MTTF=== The mean of the lognormal distribution, \mu , is given by [18]: ::\mu ={{e}^{{\mu }'+\tfrac{1}{2}\sigma _{{{T}'}}^{2}}} The…'

Nicolette Young: Created page with '===The Mean or MTTF=== The mean of the lognormal distribution, $\mu$ , is given by [18]: :: $\mu ={{e}^{{\mu }'+\tfrac{1}{2}\sigma _{{{T}'}}^{2}}}$ The…'