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The analysis of spatial extremes requires the joint modeling of a spatial process at a large number of stations and max-stable processes have been developed as a class of stochastic processes suitable...
We are grateful to the discussants for their posi-tive and interesting comments. In an area moving so rapidly it is to be expected that our review overlooks some work, and all the contributions helpf...
We congratulate the authors for producing such a helpful and comprehensive overview paper of a ra-pidly developing and important area. The starting point for inference in spatial extreme value prob-le...
The review paper on spatial extremes by Davison,Padoan and Ribatet is a most welcome contribu-tion. The authors cover quite a lot of ground, mak-ing connections between different approaches while high...
We congratulate the authors for their overview paper discussing modeling techniques for spatial ex-tremes. There is great interest in spatial extreme data in the atmospheric science community, as the...
The areal modeling of the extremes of a natural process such as rainfall or temperature is important in environmental statistics; for example, understanding extreme areal rainfall is crucial in flood ...
There is substantial empirical and climatological evidence that precipitation extremes have become more extreme during the twentieth century, and that this trend is likely to continue as global warmi...
We consider a positive stationary generalized Ornstein–Uhlenbeck process Vt = e−tZ t0es− ds + V0 for t  0,and the increments of the integrated generalized Ornstein–Uhlenbeck process...
We prove a large deviations principle (LDP) for partial sums U-processes indexed by the half line. The LDP can be formulated on a suitable subset of the set of all absolutely continuous paths. We e...
Let Xnr be the rth largest of a random sample of size n from a distribution F(x) = 1 −P∞i=0 cix− −i for > 0 and > 0. An inversion theorem is proved and used to derive an expan...
This paper aims to analyze the extremal properties of periodic integer-valued sequences with marginal distribution belonging to a particular class defined by Anderson [1970. J. Appl. Probab. 7, 99–11...
The so-called complete convergence theorem we prove enable us to give in detail the weak limiting behavior of various functional of the underlying process including the asymptotic distribution of up...
In Mediterranean climate regions, prolonged periods of unusually dry conditions re- duce the availability of water resources and affect vegetation cover; while other areas can be affected by an incr...
In this paper, we investigate the extremal properties of randomly sub-sampled stationary sequences. Motivation comes from the need to account for the effect of missing values on the analysis of time...
We define a family of local mixing conditions that enable the computation of the extremal index of periodic sequences from the joint distributions of k consecutive variables of the sequence. By applyi...

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