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State-space modeling of claims reserves in non-life insurance

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10468012" target="_blank" >RIV/00216208:11320/21:10468012 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    State-space modeling of claims reserves in non-life insurance

  • Original language description

    One of the fundamental activities of insurance companies is the calculation of technical reserves. The available data are usually considered in the form of run-off triangles. Prediction of unknown values, which are the basis for the calculation of reserves, can be constructed not only using simple approaches such as chain-ladder, but also using advanced methods such as state-space modeling. This paper focuses on the construction of Kalman projections of the values in dependent run-off triangles, which can be considered in the form of a time series with missing observations. Since the quantiles, currently the preferred risk measure, or even the whole distribution of the reserves are highly important, their estimation using smoothed bootstrap is also the content of this work. The proposed methods are applied to real data consisting of two dependent run-off triangles in order to verify their applicability in practice. The obtained results are compared to the ones obtained by other procedures.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10103 - Statistics and probability

Result continuities

  • Project

    <a href="/en/project/GX19-28231X" target="_blank" >GX19-28231X: DyMoDiF - Dynamic Models for the Digital Finance</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2021

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    39TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS (MME 2021)

  • ISBN

    978-80-213-3126-6

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    511-516

  • Publisher name

    Czech Univ Life Sciences Prague

  • Place of publication

    Prague 6

  • Event location

    Prague

  • Event date

    Sep 8, 2021

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article

    000936369700085