Probabilistic Analysis for Structures with Hybrid Uncertain Parameters

Table 1

Monotonicity analysis of expectation and variance for commonly used PDFs.

Distribution type	Probability density function (PDF)	Distribution parameter	Expectation	Partial derivative of the expectation	Variance	Partial derivative of the variance
Weibull		, ,
Lognormal		, ,
Normal		, ,
Type I extreme value (Gumbel)		, ,
Type II extreme value (Frechet)		,
Uniform
Exponential		,