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We examine a variety of graphical models to construct optimal portfolios. Graphical models such as PCA-KMeans, autoencoders, dynamic clustering, and structural learning can capture the time varying patterns in the covariance matrix and…

Machine Learning · Computer Science 2021-01-25 Ni Zhan , Yijia Sun , Aman Jakhar , He Liu

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

Insurance companies often operate across multiple interrelated lines of business (LOBs), and accounting for dependencies between them is essential for accurate reserve estimation and risk capital determination. In our previous work on the…

Methodology · Statistics 2025-09-09 Pengfei Cai , Anas Abdallah , Pratheepa Jeganathan

In this paper, we solve portfolio rebalancing problem when security returns are represented by uncertain variables considering transaction costs. The performance of the proposed model is studied using constant-proportion portfolio insurance…

Portfolio Management · Quantitative Finance 2018-12-20 Mostafa Zandieh , Seyed Omid Mohaddesi

For the past two decades investors have observed long memory and highly correlated behavior of asset classes that does not fit into the framework of Modern Portfolio Theory. Custom correlation and standard deviation estimators consider…

Statistical Finance · Quantitative Finance 2017-04-18 Sergey Kamenshchikov , Ilia Drozdov

Inference over tails is performed by applying only the results of extreme value theory. Whilst such theory is well defined and flexible enough in the univariate case, multivariate inferential methods often require the imposition of…

Methodology · Statistics 2017-08-11 Manuele Leonelli , Dani Gamerman

There exist many bivariate parametric copulas to model bivariate data with different dependence features. We propose a new bivariate parametric copula family that cannot only handle various dependence patterns that appear in the existing…

Methodology · Statistics 2021-06-30 Aristidis K. Nikoloulopoulos

Uncertain information on input parameters of reliability models is usually modeled by considering these parameters as random, and described by marginal distributions and a dependence structure of these variables. In numerous real-world…

Applications · Statistics 2018-04-30 Nazih Benoumechiara , Bertrand Michel , Philippe Saint-Pierre , Nicolas Bousquet

The expanding number of assets offers more opportunities for investors but poses new challenges for modern portfolio management (PM). As a central plank of PM, portfolio selection by expected utility maximization (EUM) faces uncontrollable…

Applications · Statistics 2022-10-24 Jin-Hong Du , Yifeng Guo , Xueqin Wang

We consider the problem of accurately measuring the credit risk of a portfolio consisting of loss exposures such as loans, bonds and other financial assets. We are particularly interested in the probability of large portfolio losses. We…

Computation · Statistics 2015-11-03 Kevin Lam , Zdravko Botev

We study the problem of active portfolio management where an investor aims to outperform a benchmark strategy's risk profile while not deviating too far from it. Specifically, an investor considers alternative strategies whose terminal…

Mathematical Finance · Quantitative Finance 2022-06-22 Silvana Pesenti , Sebastian Jaimungal

We propose a Bayesian non-parametric approach for modeling the distribution of multiple returns. In particular, we use an asymmetric dynamic conditional correlation (ADCC) model to estimate the time-varying correlations of financial returns…

Portfolio Management · Quantitative Finance 2018-05-10 Audrone Virbickaite , M. Concepción Ausín , Pedro Galeano

The accelerated failure time (AFT) model is widely used to analyze relationships between variables in the presence of censored observations. However, this model relies on some assumptions such as the error distribution, which can lead to…

Methodology · Statistics 2026-02-10 Sangkon Oh , Hyunjae Lee , Sangwook Kang , Byungtae Seo

This paper focuses on a dynamic multi-asset mean-variance portfolio selection problem under model uncertainty. We develop a continuous time framework for taking into account ambiguity aversion about both expected return rates and…

Portfolio Management · Quantitative Finance 2021-12-02 Huyen Pham , Xiaoli Wei , Chao Zhou

Generating synthetic financial time series that preserve the statistical properties of real market data is essential for stress testing, risk model validation, and scenario design. Existing approaches struggle to simultaneously reproduce…

Statistical Finance · Quantitative Finance 2026-04-03 Abdulrahman Alswaidan , Jeffrey D. Varner

In this paper we assume a multivariate risk model has been developed for a portfolio and its capital derived as a homogeneous risk measure. The Euler (or gradient) principle, then, states that the capital to be allocated to each component…

Computation · Statistics 2015-08-06 Rodrigo S. Targino , Gareth W. Peters , Pavel V. Shevchenko

The Fama-French model is widely used in assessing the portfolio's performance compared to market returns. In Fama-French models, all factors are time-series data. The cross-sectional data are slightly different from the time series data. A…

Statistical Finance · Quantitative Finance 2020-06-05 Javad Shaabani , Ali Akbar Jafari

We present a class of flexible and tractable static factor models for the term structure of joint default probabilities, the factor copula models. These high-dimensional models remain parsimonious with pair-copula constructions, and nest…

Mathematical Finance · Quantitative Finance 2018-01-19 Damien Ackerer , Thibault Vatter

We propose, for multivariate Gaussian copula models with unknown margins and structured correlation matrices, a rank-based, semiparametrically efficient estimator for the Euclidean copula parameter. This estimator is defined as a one-step…

Methodology · Statistics 2014-10-02 Johan Segers , Ramon van den Akker , Bas J. M. Werker

Modern risk modelling approaches deal with vectors of multiple components. The components could be, for example, returns of financial instruments or losses within an insurance portfolio concerning different lines of business. One of the…

Probability · Mathematics 2021-05-12 Miriam Hägele , Jaakko Lehtomaa