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We establish weak and strong law of large numbers for a class of branching symmetric Hunt processes with the branching rate being a smooth measure with respect to the underlying Hunt process, and the ...
Recently the optimal reinsurance strategy concerning the insurer’s risk attitude and the reinsurance premium principle is an interesting topic. This paper discusses the optimal reinsurance problem wit...
Influence diagnosis is important since presence of influential ob-servations could lead to distorted analysis and misleading interpreta-tions. For high dimensional data, it is particularly so, as the ...
Recently the optimal reinsurance strategy concerning the insurer’s risk attitude and the reinsurance premium principle is an interesting topic. This paper discusses the optimal reinsurance problem wit...
A measure to estimate the direct and directional coupling in multivariate time series is proposed. The measure is an extension of a recently published measure of conditional Mutual Information from Mi...
We consider the Fractionally Integrated Exponential Generalized Autoregressive Conditional Heteroskedasticity process, denoted by FIEGARCH(p,d,q), introduced by Bollerslev and Mikkelsen (1996). We pre...
We propose one-class support measure machines (OCSMMs) for group anomaly detection which aims at recognizing anomalous aggregate behaviors of data points. The OCSMMs generalize well-known one-class su...
A commonly used characteristic of statistical dependence of adjacency relations in real networks, the clustering coecient, evaluates chances that two neighbours of a given vertex are adjacent. Anothe...
We introduce an information theoretic measure of statistical structure, called 'binding information', for sets of random variables, and compare it with several previously proposed measures including e...
Using the LRT statistic, a model V# is proposed for the generalized linear mixed model for assessing the association between the correlated outcomes and fixed effects. The V# compares the full model...
Random measure of non-compactness in PM-spaces and applications
Let (X,} be a Lkvy process in Rd, d k 2, with infinite L6vy measure. If {X,) has no Gaussian component, then the process docs not hit the boundary of Lipschitz domain S c Rd at the first exit time ...
In this article we explicitly state a minimal set of requirements that must be satisfied by all such measures. Under that framework, the measure of the information in an experiment is equivalent to ...
Zonoids induced by Gauss measure with an application to risk aversion.
The Brownian excursion measure is a conformally invariant innite measure on curves. It gured prominently in one of rst major applications of SLE, namely the explicit calculations of the planar Brownia...

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