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20242026
most citedA new approach in two-dimensional heavy-tailed distributions

2 citations · 5 across the 18 of their papers we have counts for

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7 papers · 1 filter

math.PR2025

Multivariate subexponentiality and interplay of insurance and financial risks in a renwal risk model

Dimitrios G. Konstantinides, Charalampos D. Passalidis

In this paper we consider a multivariate risk model with common renewal process, while the logarithmic returns of the insurers investment portfolio, are described by a Levy process…

math.PR2025

Asymptotics for aggregated interdependent multivariate subexponential claims with general investment returns

Zhangting Chen, Dimitrios G. Konstantinides, Charalampos D. Passalidis

This paper investigates asymptotic estimates for the entrance probability of the discounted aggregate claim vector from a multivariate renewal risk model into some rare set. We pro…

math.PR2025

The Bivariate regular variation of randomly weighted sums revisited in the presence of interdependence

Dimitrios G. Konstantinides, Charalampos D. Passalidis

We study the joint distribution of two randomly weighted sums. Inspired by the practical applications, we assume that the main random variables follow the non-standard bivariate re…

math.PR2025

Uniform asymptotics for a multidimensional renewal risk model with multivariate subexponential claims

Dimitrios G. Konstantinides, Jiajun Liu, Charalampos D. Passalidis

In this paper, we study a multidimensional risk model with a common renewal process and in the presence of a constant interest force. The claim sizes are independent and identicall…

math.PR2025

Tail behavior of randomly weighted sums with interdependent summands

Dimitrios G. Konstantinides, Remigijus Leipus, Charalampos D. Passalidis +1

We reconsider a classical, well-studied problem from applied probability. This is the max-sum equivalence of randomly weighted sums, and the originality is because we manage to inc…

math.PR2025

Multivariate strong subexponential distributions: properties and applications

Charalampos D. Passalidis

In this paper we introduce and study the class of multivariate strong and strongly subexponential distributions. Some first properties are verified, as for example a type of multiv…

math.PR2025

Heavy-tailed random vectros: theory and applications

Dimitrios G. Konstantinides, Charalampos D. Passalidis

In this paper we introduce and study several multivariate, heavy-tailed distribution classes, and we explore their closure properties and their applications. We consider the class…