Semi-Parametric Statistical Model for Extreme Value Statistical Models and Application in Automatic Control

2014 ◽  
Vol 680 ◽  
pp. 455-458
Author(s):  
Yu Han

The frequency that extreme events appear in the life is low,but once it appears,the impact will be significant; many scholars have conducted in depth research and found that statistical theory of extreme value. The theory of extreme statistics plays a more and more important role in many fields such as automatic control, assembly line etc. This paper,makes an in-depth research towards the characteristics and parameter estimation of the extreme value statistical models,as well as the application,mainly analyzes the Bayes parameter estimation method of extreme value distribution,the extreme value distribution theory and Copula function random vector model.

2021 ◽  
Vol 105 ◽  
pp. 125-133
Author(s):  
Jin Zhe Chen ◽  
Ge Ping Bi

Gumbel extreme value distribution is used to predict the maximum depth of decarburization of piston rod. The results show that: 1) The prediction maximum depth of decarburization of piston rod should include four steps: data collection, parameter estimation, distribution test and maximum value prediction. 2) The maximum depth of decarburization of piston rod consistent with Gumbel minimum distribution. 3) When the return period is 1000, the predicted maximum depth of decarburization is (0.12 ± 0.01) mm, (k = 2).


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