,Yn,n) is exchangeable under PH, meaning that any permutation of the Yi,n has the same distribution. Corollary 2 in [38] shows that there exists a universal constant c>0, such that PH(sup1≤k≤n|∑i=1kYi,n|>η)≤cPH(|∑i=1⌊n/2⌋Yi,n|>η/c) and the right-hand side ...
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Conversely, empirical hysteresis models consist of algebraic or differential equations, which follow the experimental data, with no concern of the mechanical meaning of the employed parameters. These models cannot be used in extrapolating structural behaviours beyond those associated with the experimental ...