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Uniform Strong Law of Large Numbers
We prove the strong law of large numbers for random signed measures. The result is uniform over a family of subsets under mild assumptions.
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Implicit max-stable extremal integrals
Recently, the notion of implicit extreme value distributions has been established, which is based on a given loss function f ≥ 0. From an application...
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Moderate Deviations for Ewens-Pitman Sampling Models
Consider a population of individuals belonging to an infinity number of types, and assume that type proportions follow the Poisson-Dirichlet...
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Fluctuation Analysis in Parallel Queues with Hysteretic Control
We study an enhanced hysteretic control system, with primary and secondary queues and random batch service. When the primary queue down-crosses r ,...
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Consistency of Hill estimators in a linear preferential attachment model
Preferential attachment is widely used to model power-law behavior of degree distributions in both directed and undirected networks. Statistical...
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A random measure algebra under convolution
In this article, a convolution of second-order random measures on a locally compact abelian groups is considered. A random measure is an analog of a...
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Market Viability and Martingale Measures under Partial Information
We consider a financial market model with a single risky asset whose price process evolves according to a general jump-diffusion with locally bounded...
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Distribution of Statistics of Hidden State Sequences Through the Sum-Product Algorithm
We compute exact distributions of statistics of hidden state sequences in general settings. Distributions are computed for undirected and directed...
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Multivariate Normal Approximation in Geometric Probability
Consider a measure μ λ = Σ x ξ x δ x where the sum is over points x of a Poisson point process of intensity λ on a bounded region in d -space, and ξ x is a...
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Hidden Regular Variation, Second Order Regular Variation and Asymptotic Independence
We survey the related asymptotic properties of multivariate distributions; (i) asymptotic independence, (ii) hidden regular variation, and (iii)...
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On randomized stop** times
In this note we give a proof of the fact that the extremal elements of the set of randomized stop** times are exactly the stop** times.
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Non parametric tests of independence
If (Xn)(1),...,Xn(p)) is for n=1,2,..., an i.i.d. sequence, with Fn(x1,...,xp) as its empirical c.d.f. with margins F n...