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We study the estimation of tail probabilities in a queue via a semi-parametric estimator based on the maximum value of the workload, observed over the sampled time interval. Logarithmic consistency an...
We provide new methods for estimation of the one-point specification probabilities in general discrete random fields.
We are interested in estimating probabilities of rare events in the context of com- puter experiments. These rare events depend on the output of a physical model with random input variables. Since t...
We review various inequalities for Mills' ratio (1 - \Phi)/\phi, where \phi and \Phi denote the standard Gaussian density and distribution function, respectively. Elementary considerations involving f...
We provide a representation of reversible-jump Markov chain Monte Carlo as Gibbs sampling with alternating updates of a model indicator and a "palette" of parameters we denote $\bm \psi$. A key innova...
We obtain the rate of growth of long strange segments and the rate of decay of infinite horizon ruin probabilities for a class of infinite moving average processes with exponentially light tails. Th...
There are at least two ways to interpret numerical degrees of belief in terms of betting: 1. You can offer to bet at the odds defined by the degrees of belief. 2. You can make the judgement that a ...
The binomial ideal associated with the intersection axiom of conditional probability is shown to be radical and is expressed as an intersection of toric prime ideals. This solves a problem in algebr...
Probabilities of moderate deviations for randomly indexed sums of independent and identically dmtributed random variables with multidimensional indices are studied. The results presented extend som...
We prove upper estimates for the tail prebabibties: of quadratic and bilinear forms in independent subgaussian randarn vslriabb. These inequalities are used to get upper esthatcs in thc law diterat...
In this paper, suTTicient conditions for the existence of (a-finite) invariant measures for a class of Markov chains with random transition probabilities are given. A special class of Markov chains ...
In this paper we fmd a nonexponential Lundberg approximation of the ruin probability in a Cox model, in which a governing process has a regenerative structure and claims are light-tailed or have an...
It is shown that the tail probabilities of a strictly (r, a)-semistable (0 < r < 1,0 < n < 2, a # 1) Banach space valued random vector X and its symmetrized counterpart are "uniformly" comparable i...
We show that there exist Lévy processes (X_t,t ≥ 0) and reals y>0 such that for small t, the probability P(X_t> y) has an expansion involving fractional powers or more general functions of t. This con...
We consider a first-passage percolation (FPP) model on a Delaunay triangulation D of the plane. In this model each edge e of D is independently equipped with a nonnegative random variable, with distri...

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