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Related papers: On bivariate lifetime modelling in life insurance …

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This paper is concerned with modeling the dependence structure of two (or more) time-series in the presence of a (possible multivariate) covariate which may include past values of the time series. We assume that the covariate influences…

Statistics Theory · Mathematics 2018-12-11 Natalie Neumeyer , Marek Omelka , Sarka Hudecova

A novel copula-based multivariate panel ordinal model is developed to estimate structural relations among components of well-being. Each ordinal time-series is modelled using a copula-based Markov model to relate the marginal distributions…

Methodology · Statistics 2017-06-02 Aristidis K. Nikoloulopoulos , Emmanouil Mentzakis

In this paper, we investigate a complex variation of the standard joint life annuity policy by introducing three distinct contingent benefits for the surviving member(s) of a couple, along with a contingent benefit for their beneficiaries…

Pricing of Securities · Quantitative Finance 2024-10-17 Kira Henshaw , Cedric H. A. Koffi , Olivier Menoukeu Pamen , Raghid Zeineddine

For the analysis of clustered survival data, two different types of models that take the association into account, are commonly used: frailty models and copula models. Frailty models assume that conditional on a frailty term for each…

Methodology · Statistics 2014-01-10 Leen Prenen , Roel Braekers , Luc Duchateau

For a typical insurance portfolio, the claims process for a short period, typically one year, is characterized by observing frequency of claims together with the associated claims severities. The collective risk model describes this…

Applications · Statistics 2020-06-12 Rosy Oh , Himchan Jeong , Jae Youn Ahn , Emiliano A. Valdez

In medical studies, it is common the presence of a fraction of patients who do not experience the event of interest. These patients are people who are not at risk of the event or are patients who were cured during the research. The…

Modeling the dependence between multiple risk types is a central challenge in contemporary insurance risk management. The standard approaches, L\'evy copulas and zero-mixed models, often face practical difficulties in simulation and…

Risk Management · Quantitative Finance 2026-05-26 Roberto Baviera , Pietro Manzoni , Michele Domenico Massaria

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…

Statistics Theory · Mathematics 2014-11-03 Samiha Ismail , Gao Yu , Gesine Reinert , Trevor Maynard

There are growing concerns for reserves estimation of incurred but not reported (IBNR) claims in actuarial sciences. In this paper, we propose a copula-based dependency model to capture the relationship between two main IBNR reserve…

Analysis of multivariate time series is a common problem in areas like finance and economics. The classical tool for this purpose are vector autoregressive models. These however are limited to the modeling of linear and symmetric…

Methodology · Statistics 2012-04-05 Eike Christian Brechmann , Claudia Czado

In situations where both extreme and non-extreme data are of interest, modelling the whole data set accurately is important. In a univariate framework, modelling the bulk and tail of a distribution has been extensively studied before.…

Methodology · Statistics 2023-10-11 Lídia M. André , Jennifer L. Wadsworth , Adrian O'Hagan

We use life annuity prices to extract information about human longevity using a framework that links the term structure of mortality and interest rates. We invert the model and perform nonlinear least squares to obtain implied longevity…

Mathematical Finance · Quantitative Finance 2018-11-27 Moshe A. Milevsky , Thomas S. Salisbury , Alexander Chigodaev

The significance of mortality modeling extends across multiple research areas, ranging from life insurance valuation to optimal lifetime decision-making. Existing approaches, such as mortality laws and factor-based models, often fall short…

Applications · Statistics 2024-10-23 Xiaobai Zhu , Kenneth Q. Zhou , Zijia Wang

Dependence modeling of multivariate count data has garnered significant attention in recent years. Multivariate elliptical copulas are typically preferred in statistical literature to analyze dependence between repeated measurements of…

Methodology · Statistics 2025-01-22 Subhajit Chattopadhyay

The increasing importance of solar power for electricity generation leads to an increasing demand for probabilistic forecasting of local and aggregated PV yields. In this paper we use an indirect modeling approach for hourly medium to long…

Applications · Statistics 2020-02-24 Alfred Müller , Matthias Reuber

Parametric copula families have been known to flexibly capture various dependence patterns, e.g., either positive or negative dependence in either the lower or upper tails of bivariate distributions. In this paper, our objective is to…

Methodology · Statistics 2025-02-11 Ruyi Pan , Luis E. Nieto-Barajas , Radu Craiu

Predicting the time series of future evolutions of renewable injections and demands is of utmost importance for the operation of power systems. However, the current state of the art is mostly focused on mean-value time series predictions…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Marco Jeschke , Timm Faulwasser , Roland Fried

In general insurance, risks from different categories are often modeled independently and their sum is regarded as the total risk the insurer takes on in exchange for a premium. The dependence from multiple risks is generally neglected even…

Applications · Statistics 2019-04-10 Sen Hu , T Brendan Murphy , Adrian O'Hagan

We propose a new copula model that can be used with replicated spatial data. Unlike the multivariate normal copula, the proposed copula is based on the assumption that a common factor exists and affects the joint dependence of all…

Applications · Statistics 2016-12-08 Pavel Krupskii , Raphael Huser , Marc G. Genton

A class of multivariate mixed survival models for continuous and discrete time with a complex covariance structure is introduced in a context of quantitative genetic applications. The methods introduced can be used in many applications in…

Applications · Statistics 2014-05-06 Rafael Pimentel Maia , Per Madsen , Rodrigo Labouriau