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In this paper we consider pricing of insurance contracts for breast cancer risk based on three multiple state models. Using population data in England and data from the medical literature, we calibrate a collection of semi-Markov and Markov…

We model the stock price dynamics through a semi-Markov process obtained using a Poisson random measure. We establish the existence and uniqueness of the classical solution of a non-homogeneous terminal value problem and we show that the…

Mathematical Finance · Quantitative Finance 2022-09-13 Garima Agrawal , Anindya Goswami

Financial markets change their behaviours abruptly. The mean, variance and correlation patterns of stocks can vary dramatically, triggered by fundamental changes in macroeconomic variables, policies or regulations. A trader needs to adapt…

Statistical Finance · Quantitative Finance 2018-12-07 Sonam Srivastava , Ritabratta Bhattacharya

Excess hazard modeling is one of the main tools in population-based cancer survival research. Indeed, this setting allows for direct modeling of the survival due to cancer even in the absence of reliable information on the cause of death,…

Methodology · Statistics 2022-04-12 A. Eletti , G. Marra , M. Quaresma , R. Radice , F. J. Rubio

The present paper addresses the issue of the stochastic control of the optimal dynamic reinsurance policy and dynamic dividend strategy, which are state-dependent, for an insurance company that operates under multiple insurance lines of…

Optimization and Control · Mathematics 2020-02-11 Khaled Masoumifard , Mohammad Zokaei

We study the problem of hedging unit linked life insurance policies whose benefits depend on an investment fund that incorporates environmental criteria in its selection process. Offering these products poses two key challenges:…

Risk Management · Quantitative Finance 2026-05-27 Katia Colaneri , Alessandra Cretarola , Edoardo Lombardo , Daniele Mancinelli

Multi-step stock price prediction over a long-term horizon is crucial for forecasting its volatility, allowing financial institutions to price and hedge derivatives, and banks to quantify the risk in their trading books. Additionally, most…

Statistical Finance · Quantitative Finance 2023-10-31 Kelvin J. L. Koa , Yunshan Ma , Ritchie Ng , Tat-Seng Chua

We propose a Statistical-Mechanics inspired framework for modeling economic systems. Each agent composing the economic system is characterized by a few variables of distinct nature (e.g. saving ratio, expectations, etc.). The agents…

Statistical Mechanics · Physics 2007-05-23 Tom Erez , Martin Hohnisch , Sorin Solomon

High-dimensional variable selection, with many more covariates than observations, is widely documented in standard regression models, but there are still few tools to address it in non-linear mixed-effects models where data are collected…

Statistics Theory · Mathematics 2024-04-08 Marion Naveau , Guillaume Kon Kam King , Renaud Rincent , Laure Sansonnet , Maud Delattre

In this study, Bayesian inference is developed for structural vector autoregressive models in which the structural parameters are identified via Markov-switching heteroskedasticity. In such a model, restrictions that are just-identifying in…

Econometrics · Economics 2023-11-13 Helmut Lütkepohl , Tomasz Woźniak

We consider a risk-sensitive optimization of consumption-utility on infinite time horizon where the one-period investment gain depends on an underlying economic state whose evolution over time is assumed to be described by a discrete-time,…

Optimization and Control · Mathematics 2021-11-19 Anindya Goswami , Nimit Rana , Tak Kuen Siu

This article introduces a novel dynamic framework to Bayesian model averaging for time-varying parameter quantile regressions. By employing sequential Markov chain Monte Carlo, we combine empirical estimates derived from dynamically chosen…

Statistics Theory · Mathematics 2024-11-08 Mauro Bernardi , Roberto Casarin , Bertrand Maillet , Lea Petrella

In this manuscript we propose a method for pricing insurance products that cover not only traditional risks, but also unforeseen ones. By considering the Poisson process parameter to be a mixed random variable, we capture the heterogeneity…

General Finance · Quantitative Finance 2020-08-10 Weihong Ni , Corina Constantinescu , Alfredo Egídio dos Reis , Véronique Maume-Deschamps

In this paper, we explore the pricing and hedging strategies for an innovative insurance product called the equity protection swap(EPS). Notably, we focus on the application of EPSs involving cross-currency reference portfolios, reflecting…

Mathematical Finance · Quantitative Finance 2026-04-10 Marek Rutkowski , Huansang Xu

We study a novel large dimensional approximate factor model with regime changes in the loadings driven by a latent first order Markov process. By exploiting the equivalent linear representation of the model, we first recover the latent…

Econometrics · Economics 2024-12-04 Matteo Barigozzi , Daniele Massacci

Loss development modelling is the actuarial practice of predicting the total 'ultimate' losses incurred on a set of policies once all claims are reported and settled. This poses a challenging prediction task as losses frequently take years…

Methodology · Statistics 2025-02-11 Conor Goold

Many nonlinear time series models have been proposed in the last decades. Among them, the models with regime switchings provide a class of versatile and interpretable models which have received a particular attention in the literature. In…

Applications · Statistics 2014-05-20 Pierre Ailliot , Francoise Pene

Risk management is very important for individual investors or companies. There are many ways to measure the risk of investment. Prices of risky assets vary rapidly and randomly due to the complexity of finance market. Random interval is a…

Portfolio Management · Quantitative Finance 2022-07-26 Jinping Zhang , Keming Zhang

How best to model structurally heterogeneous processes is a foundational question in the social, health and behavioral sciences. Recently, Fisher et al., (2022) introduced the multi-VAR approach for simultaneously estimating…

The task of modeling claim severities is addressed when data is not consistent with the classical regression assumptions. This framework is common in several lines of business within insurance and reinsurance, where catastrophic losses or…

Statistics Theory · Mathematics 2022-04-01 Martin Bladt , Jorge Yslas
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