Template:Gumbel distribution introduction: Difference between revisions

Latest revision as of 02:13, 15 August 2012

Redirect to:

Revision as of 18:29, 20 February 2012 (view source) Harry Guo (talk \| contribs) No edit summary ← Older edit		Latest revision as of 02:13, 15 August 2012 (view source) Richard House (talk \| contribs) (Redirected page to The Gumbel/SEV Distribution)
Line 1:		Line 1:
	~~==Introduction==~~		#REDIRECT [[The_Gumbel/SEV_Distribution]]
	The Gumbel distribution is also referred to as the Smallest Extreme Value (SEV) distribution or the Smallest Extreme Value (Type I) distribution. The Gumbel distribution's <math>pdf</math> is skewed to the left, unlike the Weibull distribution's <math>pdf</math> , which is skewed to the right. The Gumbel distribution is appropriate for modeling strength, which is sometimes skewed to the left (few weak units in the lower tail, most units in the upper tail of the strength population). The Gumbel distribution could also be appropriate for modeling the life of products that experience very quick wear-out after reaching a certain age. The distribution of logarithms of times can often be modeled with the Gumbel distribution (in addition to the more common lognormal distribution) [[~~Appendix: Weibull References\|[27]~~]].