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A two-component copula with links to insurance

S. Ismail;  G. Yu;  G. Reinert;  T. Maynard — 2017

Dependence Modeling

This paper presents a new copula to model dependencies between insurance entities, by considering how insurance entities are affected by both macro and micro factors. The model used to build the copula assumes that the insurance losses of two companies or lines of business are related through a random common loss factor which is then multiplied by an individual random company factor to get the total loss amounts. The new two-component copula is not Archimedean and it extends the toolkit of copulas...

Finite groups whose character degree graphs coincide with their prime graphs

Temha Erkoç;  Utku Yilmaztürk;  İsmail Ş. Güloğlu — 2018

Czechoslovak Mathematical Journal

In the literature, there are several graphs related to a finite group G . Two of them are the character degree graph, denoted by Δ ( G ) , and the prime graph, Γ ( G ) . In this paper we classify all finite groups whose character degree graphs are disconnected and coincide with their prime graphs. As a corollary, we find all finite groups whose character degree graphs are square and coincide with their prime graphs.

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