Archimedean-based Marshall-Olkin distributions and related dependence structures

S Mulinacci - Methodology and Computing in Applied Probability, 2018 - Springer
In this paper we study the dependence properties of a family of bivariate distributions (that
we call Archimedean-based Marshall-Olkin distributions) that extends the class of the …

Shock models with dependence and asymmetric linkages

F Durante, M Omladič, L Oražem, N Ružić - Fuzzy sets and systems, 2017 - Elsevier
This paper introduces a new class of copulas and shows its relevance for applications. In
particular, a stochastic interpretation in terms of a system of dependence components …

[HTML][HTML] Constructing copulas from shock models with imprecise distributions

M Omladič, D Škulj - International Journal of Approximate Reasoning, 2020 - Elsevier
The omnipotence of copulas when modeling dependence given marginal distributions in a
multivariate stochastic situation is assured by the Sklar's theorem. Montes et al.(2015) …

[HTML][HTML] Non-exchangeability of copulas arising from shock models

DK Bukovšek, T Košir, B Mojškerc, M Omladič - Journal of Computational …, 2019 - Elsevier
Copula is a useful tool that captures the dependence structure among random variables. In
practice, it is an important question which copula to choose depending on the given data …

Asymmetric linkages: maxmin vs. reflected maxmin copulas

DK Bukovšek, T Košir, B Mojškerc, M Omladič - Fuzzy Sets and Systems, 2020 - Elsevier
In this paper we introduce some new copulas emerging from shock models. It was shown in
[21] that reflected maxmin copulas (RMM for short) are not just some specific singular …

Conditional systemic risk with penalized copula

O Okhrin, A Ristig, JR Sheen, S Trück - 2015 - econstor.eu
Financial contagion and systemic risk measures are commonly derived from conditional
quantiles by using imposed model assumptions such as a linear parametrization. In this …

Marshall–Olkin Machinery and Power Mixing: The Mixed Generalized Marshall–Olkin Distribution

S Mulinacci - Marshall ̶ Olkin Distributions-Advances in Theory and …, 2015 - Springer
In this paper, we consider the Marshall–Olkin technique of modeling the multivariate random
lifetimes of the components of a system, as the first arrival times of some shock affecting part …

A generalization of Archimedean and Marshall-Olkin copulas family

J Xie, J Yang, W Zhu, W Zou - Fuzzy Sets and Systems, 2022 - Elsevier
In this paper, we consider a new family of multivariate copulas described by a sequence of
functions, named as AMO copula. The set of AMO copulas corresponds to a class of …

A systemic shock model for too big to fail financial institutions

S Mulinacci - arXiv preprint arXiv:1704.02160, 2017 - arxiv.org
In this paper we study the distributional properties of a vector of lifetimes in which each
lifetime is modeled as the first arrival time between an idiosyncratic shock and a common …