On the three-spliced Exponential-Lognormal-Pareto distribution

To model statistical data coming from two di erent distributions, Cooray and Ananda [1] introduced a composite (two-spliced) Lognormal-Pareto model, that was further extended by Scollnik [9] and fitted to insurance data. Inspired by these studies, more general three-spliced composite models are cons...

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Bibliographic Details
Main Authors: Bâcă Adrian, Vernic Raluca
Format: Article
Language:English
Published: Sciendo 2022-09-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
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Online Access:https://doi.org/10.2478/auom-2022-0032
Description
Summary:To model statistical data coming from two di erent distributions, Cooray and Ananda [1] introduced a composite (two-spliced) Lognormal-Pareto model, that was further extended by Scollnik [9] and fitted to insurance data. Inspired by these studies, more general three-spliced composite models are considered in this work, built by joining three di erent distributions. In particular, the study is focused on the three-spliced Exponential-Lognormal-Pareto distribution. The main characteristics of this model, as well as statistical inference are discussed. The parameters estimation is illustrated on random generated data.
ISSN:1844-0835