Artikel

On modelling insurance data by using a generalized lognormal distribution

In this paper, a new heavy-tailed distribution is used to model data with a strong right tail, as often occurs in practical situations. The distribution proposed is derived from the lognormal distribution, by using the Marshall and Olkin procedure. Some basic properties of this new distribution are obtained and we present situations where this new distribution correctly reflects the sample behaviour for the right tail probability. An application of the model to dental insurance data is presented and analysed in depth. We conclude that the generalized lognormal distribution proposed is a distribu- tion that should be taken into account among other possible distributions for insurance data in which the properties of a heavy-tailed distribution are present.

Language
Englisch

Bibliographic citation
Journal: Revista de Métodos Cuantitativos para la Economía y la Empresa ; ISSN: 1886-516X ; Volume: 18 ; Year: 2014 ; Pages: 146-162 ; Sevilla: Universidad Pablo de Olavide

Classification
Wirtschaft
Subject
heavy-tailed
insurance
lognormal distribution
loss distribution

Event
Geistige Schöpfung
(who)
García, Victoriano J.
Gómez-Déniz, Emilio
Vázquez-Polo, Francisco J.
Event
Veröffentlichung
(who)
Universidad Pablo de Olavide
(where)
Sevilla
(when)
2014

Handle
Last update
10.03.2025, 11:43 AM CET

Data provider

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Object type

  • Artikel

Associated

  • García, Victoriano J.
  • Gómez-Déniz, Emilio
  • Vázquez-Polo, Francisco J.
  • Universidad Pablo de Olavide

Time of origin

  • 2014

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