Sentence examples for its extreme value from inspiring English sources
In this section we present the pointwise convergence rate and the uniform convergence rate of F n to its extreme value distribution under different normalizing constants.
One interesting problem in extreme value analysis is to estimate the rate of uniform convergence of (F^{n}(cdot)) to its extreme value distribution.
To establish the uniform convergence of F n ( a n x + b n ) to its extreme value distribution Λ ( x ), we need some auxiliary results.
In this paper, we obtain the exact uniform convergence rate of the distribution of maxima to its extreme value limit under power normalization.
Response time history simulations are performed by solving the nonlinear equation of motion to explore the unique hardening non-Gaussian characteristics of crosswind response and its extreme value distribution with reduced peak factor.
The time for track slab temperature to reach its extreme value is 2 h later than that for the air temperature for a 30-cm-thick track slab in Chengdu area.
In particular, we showed that the asymptotic behavior (I alpha,[alpha]-1)) corresponds to the oscillations of (Gamma ( frac{alpha-[alpha]+2}{2} ) ) between its extreme values.
Bayesian updating method is used to incorporate the processed SHM data to update the wave-induced vertical bending moment modeled by the Rayleigh distribution and its extreme values modeled by the Type I extreme value (largest) distribution.
A common feature of the tanh map is the steady increase of points generated around its extreme values, which results in a seldom occurrence of values around x=0. Points x k in this region are generated with low probability and can then be interpreted as a guard region.
The most commonly used indicator is free/total PSA ratio (f/tPSA), which may help to predict CaP or BPH in its extreme values (Catalona et al, 1997).
Hence, for v ≠ 1, Theorem 1(i) shows that the convergence rate of F v n ( a n x + b n ) to its ultimate extreme value distribution Λ ( x ) is proportional to 1 / log n, while for the case of v = 1, Theorem 1 ii) shows that the convergence rate is proportional to 1 / n.
