On the Usefulness of the Logarithmic Skew Normal Distribution for Describing Claims Size Data
Joint Authors
Gómez-Déniz, Emilio
Calderín-Ojeda, E.
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-18
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, the three-parameter skew lognormal distribution is proposed to model actuarial data concerning losses.
This distribution yields a satisfactory fit to empirical data in the whole range of the empirical distribution as compared to other distributions used in the actuarial statistics literature.
To the best of our knowledge, this distribution has not been used in insurance context and it might be suitable for computing reinsurance premiums in situations where the right tail of the empirical distribution plays an important role.
Furthermore, a regression model can be simply derived to explain the response variable as a function of a set of explanatory variables.
American Psychological Association (APA)
Gómez-Déniz, Emilio& Calderín-Ojeda, E.. 2020. On the Usefulness of the Logarithmic Skew Normal Distribution for Describing Claims Size Data. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1193224
Modern Language Association (MLA)
Gómez-Déniz, Emilio& Calderín-Ojeda, E.. On the Usefulness of the Logarithmic Skew Normal Distribution for Describing Claims Size Data. Mathematical Problems in Engineering No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1193224
American Medical Association (AMA)
Gómez-Déniz, Emilio& Calderín-Ojeda, E.. On the Usefulness of the Logarithmic Skew Normal Distribution for Describing Claims Size Data. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1193224
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1193224