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  1. Article

    Optimal vaccination in a SIRS epidemic model

    We propose and solve an optimal vaccination problem within a deterministic compartmental model of SIRS type: the immunized population can become susceptible again, e.g. because of a not complete immunization p...

    Salvatore Federico, Giorgio Ferrari, Maria-Laura Torrente in Economic Theory (2024)

  2. Article

    Open Access

    Risk-adjusted geometric diversified portfolios

    In this paper, exploiting a geometric argument, a novel and intuitive approach to portfolio diversification is proposed. The risk-adjusted geometric diversified portfolio is obtained as the point that is equal...

    Maria-Laura Torrente, Pierpaolo Uberti in Quality & Quantity (2024)

  3. Article

    Open Access

    Optimal proportional and excess-of-loss reinsurance for multiple classes of insurance business

    In this paper we consider a reinsurance strategy which combines a proportional and an excess-of-loss reinsurance in a risk model with multiple dependent classes of insurance business. Under the assumption that...

    Maria-Laura Torrente in Decisions in Economics and Finance (2023)

  4. No Access

    Article

    A rescaling technique to improve numerical stability of portfolio optimization problems

    This paper analyzes the numerical stability of Markowitz portfolio optimization model, by identifying and studying a source of instability, that strictly depends on the mathematical structure of the optimizati...

    Maria-Laura Torrente, Pierpaolo Uberti in Soft Computing (2023)

  5. Article

    Open Access

    Connectedness versus diversification: two sides of the same coin

    In the financial framework, the concepts of connectedness and diversification have been introduced and developed respectively in the context of systemic risk and portfolio theory. In this paper we propose a th...

    Maria-Laura Torrente, Pierpaolo Uberti in Mathematics and Financial Economics (2021)

  6. No Access

    Chapter and Conference Paper

    Numerical Stability of Optimal Mean Variance Portfolios

    In this paper we study the numerical stability of the closed form solution of the classical portfolio optimization problem. Such explicit solution relies upon a technical symmetric square matrix

    Claudia Fassino, Maria-Laura Torrente in Mathematical and Statistical Methods for A… (2021)

  7. No Access

    Article

    Proper measures of connectedness

    The concept of connectedness has been widely used in financial applications, in particular for systemic risk detection. Despite its popularity, at the state of the art, a rigorous definition of connectedness i...

    Mario Maggi, Maria-Laura Torrente, Pierpaolo Uberti in Annals of Finance (2020)

  8. No Access

    Chapter

    Rational Normal Curves as Set-Theoretic Complete Intersections of Quadrics

    In the first part of this paper we present a short survey on the problem of the representation of rational normal curves as set-theoretic complete intersections. In the second part we use a method, introduced by ...

    Maria-Laura Torrente in Computer Algebra and Polynomials (2015)

  9. No Access

    Article

    Thinning Out Redundant Empirical Data

    Given a set \({\mathbb{X}}\) of “empirical” points, whose coordinates are perturbed by errors, we analyze whether i...

    John Abbott, Claudia Fassino, Maria-Laura Torrente in Mathematics in Computer Science (2007)