Actuarial Mathematics and Data Analytics

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Financial Mathematics".

Deadline for manuscript submissions: closed (30 April 2024) | Viewed by 576

Special Issue Editors


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Guest Editor
Department of Mathematics and Statistics, University of Calgary, Calgary, Canada
Interests: optimal reinsurance; risk sharing; risk management; dependence structure

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Guest Editor
Department of Mathematics, Southern University of Science and Technology, Shenzhen, China
Interests: optimal reinsurance; credibility theory; systemic risk; risk management; stochastic ordering; dependence structure; reliability theory

Special Issue Information

Dear Colleagues,

The advances in actuarial data analytics have been witnessed in the past decade. The rapid developing artificial intelligence and machine learning technologies provide innovative insights on building actuarial descriptive/predictive models and addressing a variety of actuarial decision-making problems.  Emerging machine-learning methodologies can be found in the fields of both life and non-life insurance, such as mortality rate forecasting, health care claims modelling, loss reserving, insurance fraud detection, and index insurance design. These methodologies and skills also enable actuarial researchers to investigate more the interdisciplinary areas, such as pandemic risk, cyber risk, climate risk and agriculture insurance, and help them to develop related risk hedging tools.

The main aim of this Special Issue is to provide a platform for the discussion of quite recent achievements in actuarial data analytics and the related challenges. We welcome original research articles that explore either theoretical or applied aspects of data analytics in actuarial science, which include but not limited to the above-mentioned topics.

Dr. Wenjun Jiang
Dr. Yiying Zhang
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • mortality rate forecast
  • loss reserve
  • index insurance
  • cyber risk
  • insurance fraud
  • agriculture insurance
  • epidemiological model
  • climate risk

Published Papers (1 paper)

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Research

12 pages, 259 KiB  
Article
Ruin Probabilities with Investments in Random Environment: Smoothness
by Viktor Antipov and Yuri Kabanov
Mathematics 2024, 12(11), 1705; https://doi.org/10.3390/math12111705 - 30 May 2024
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Abstract
This paper deals with the ruin problem of an insurance company investing its capital reserve in a risky asset with the price dynamics given by a conditional geometric Brownian motion whose parameters depend on a Markov process describing random variations in the economic [...] Read more.
This paper deals with the ruin problem of an insurance company investing its capital reserve in a risky asset with the price dynamics given by a conditional geometric Brownian motion whose parameters depend on a Markov process describing random variations in the economic and financial environments. We prove a sufficient condition on the distribution of jumps of the business process ensuring the smoothness of the ruin probability as a function of the initial capital and obtain for this function an integro-differential equation. Full article
(This article belongs to the Special Issue Actuarial Mathematics and Data Analytics)
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