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The extremaltprocess was proposed in the literature for modelling spatial extremes within a copula framework based on the extreme value limit of ellipticalt distribu-tions (Davison, Padoan and Ribatet...
Baeet al. [6] consider the problem of optimal control of a finite dam usingPMλ,τpolicies, assuming that the input process is a compound Poisson process with a negative drift. Lam and Lou [8] treat th...
Baeet al. [6] consider the problem of optimal control of a finite dam usingPM兩,冄policies, assuming that the input process is a compound Poisson process with a negative drift. Lam and Lou [8] treat th...
Association of random variables and Demimartingales are recent elds for handling asymptotic behaviors of sums of dependent random vari-ables. We apply their techniques to establish the asymptotic law...
Evaluating the overall ability of players in the National Hockey League (NHL) is a dicult task. Existing methods such as the famous \plus/minus" statistic have many shortcomings. Standard linear regr...
Optogenetics is a new tool to stimulate genetically targeted neuronal circuits us-ing light flashes that can be delivered at high frequencies. It has shown promise for studying neural circuits that ar...
We consider probabilistic multinomial probit classification using Gaussian process (GP) priors. The challenges with the multiclass GP classification are the integration over the non-Gaussian posterior...
Rich and complex time-series data, such as those generated from engineer-ing systems, financial markets, videos or neural recordings, are now a common feature of modern data analysis. Explaining the p...
We are presenting a simple and numerical stable algorithm for the solution of the cone projection problem which is suitable for relative small data sets and for simulation purposes needed for con-vexi...
We study the nonparametric estimation of the jump density of a re-newal reward process from one discretely observed sample path over [0;T].We consider the regime when the sampling rate  = T !0 asT!1...
A fragmentation of a set $A$ is a graph with vertices labeled by subsets of $A$ which obey a certain parent-child relationship. A random fragmentation tree is a probability distribution on the space o...
We establish a functional limit law of the logarithm for the increments of the normed sample quantile process based upon random sample of size $n->infty$. We extend a limit law obtained by Deheuvels a...
We use rescaled Gaussian processes as prior models for functional parameters in nonparametric statistical models. We show how the rate of contraction of the posterior distributions depends on the scal...
Upper bounds for rates of convergence of posterior distributions associated to Gaussian process priors are obtained by van der Vaart and van Zanten in [van der Vaart and van Zanten, Rates of contracti...
Consider the following local empirical process indexed by $K in mathcal{G}$, for fixed $h>0$ and $z in mathbb{R}^d$: $$G_n(K,h,z):=sum_{i=1}^n K (frac{Z_i-z}{h^{1/d}}) - mathbb{E} (K (frac{Z_i-z}{h^{1...

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