A Bivariate Extreme Value Distribution for Reliability Assessment of Marine Structures

2011 ◽  
Author(s):  
Bernt J. Leira ◽  
Dag Myrhaug ◽  
Ha˚vard Holm
Keyword(s):  
Reliability Assessment ◽  
Gumbel Distribution ◽  
Extreme Value Distribution ◽  
Rayleigh Distribution ◽  
Extreme Value ◽  
Value Distribution ◽  
Marine Structures ◽  
Linear Combinations ◽  
Bivariate Extreme Value Distribution

A bivariate Gumbel distribution is established based on transformation of an existing bivariate Rayleigh distribution. Application of this distribution in relation to reliability assessment of marine structures is subsequently addressed. Linear combinations of the two basic variables which are Gumbel distributed are further considered. The role of the Gumbel distribution in connection with reliability assessment of marine structures is discussed. Comparison with another class of bivariate Gumbel distributions (Gumbel Type A) is also made.

Probabilistic Assessment for Failure Probability of Pipe Lines by Extreme Value Distribution

2005 ◽  
Vol 486-487 ◽  
pp. 229-232
Author(s):  
S.H. Lee ◽  
Byung Hak Choe ◽  
Young Pyo Kim ◽  
Woo Sik Kim ◽  
Y.T. Ko ◽  
...  
Keyword(s):  
Failure Probability ◽  
Reliability Assessment ◽  
Extreme Value Distribution ◽  
Extreme Value ◽  
Value Distribution ◽  
Remaining Life ◽  
Corrosion Depth ◽  
Failure Pressure ◽  
Corrosion Defects ◽  
Pressurized Pipelines

This study presents a probabilistic methodology for estimation of the remaining life of pressurized pipelines containing active corrosion defects. A reliability assessment was carried out using extreme value distribution of the corroded defects instead of the already published failure pressure model like NG18 or ASME B31G. The failure probability of pipelines depends on the number of corroded defects, and it was calculated directly as the area exceeded a defined LV(Limited Value of corrosion depth). The remaining life of pressurized pipelines can also be estimated by the PDF of extreme value distribution as calculating the exceeded area with a defined failure probability.

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