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Table 4 Goodness of fit of various probability density functions for the performance indicator of cross-sectional bending moment

From: Stochastic analysis for bending capacity of precast prestressed concrete bridge piers using Monte-Carlo simulation and gradient boosted regression trees algorithm

 

Myo

φyo

Myl

φcu

μφ

My

φy

Normal

0.9954

0.9943

0.9841

0.9817

0.9773

0.9894

0.9891

Lognormal

0.9814

0.9697

0.9534

0.9119

0.9434

0.9636

0.9914

GEV

0.9803

0.9781

0.9541

0.9873

0.9907

0.9786

0.9948

Gamma

0.9876

0.9839

0.966

0.9609

0.9797

0.9745

0.9962

Weibull

0.9652

0.9639

0.977

0.9857

0.9785

0.976

0.9395

  1. For different indicators, the optimal goodness of fit value is highlighted in bold black