Variables with few data or bounds and no defined distribution

UQ with UQLab Community Q&A and How To
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1

Good Morning,

Thank you for the amazing software uqlab. Please if there exist epistemic uncertainty maybe the bounds of data or few data of variable - lets say you have just five data points of the random variables (X1) how can one determine its statistical distribution for reliability analysis given that other variables have well defined distribution.

X1={0.01 , 0.6 , 0.25 , 0.3 , 0.01}
X2 = (Normal: 2.5, Cov:0.1)
X3 = (Lognormal: 50, Cov: 0.02)

Appreciate any thoughts to go about the variable X1 in uqlab for analysis.

2

Good Morning,

Please is there a way to handle UQ in uqlab for the situation presented in my previous post - limited data for X1? X2, X3 are properly defined.

Appreciate any help/thoughts on this