基本概念都不懂!从头学起!

IFR (increasing failure rate) :  survival function/failure function, 1-F(x), is logconcave.

DFR (decreasing failure rate) :  survival function/failure function, 1-F(x), is logconvex.

Failure rate/Hazard rate :  h(x)=f(x)/(1-F(x))

Logconcavity :

or

Logconvexity :

Quasiconcavity and Quasiconvexity:

 

Source :

http://en.wikipedia.org/wiki/Failure_rate

http://en.wikipedia.org/wiki/Logarithmically_concave_function

http://en.wikipedia.org/wiki/Quasi-concave_function

Shaked and Shanthikumar (2007)

 

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