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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sciendo
2022-09-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/auom-2022-0032 |
| _version_ | 1797989187979313152 |
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| author | Bâcă Adrian Vernic Raluca |
| author_facet | Bâcă Adrian Vernic Raluca |
| author_sort | Bâcă Adrian |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T08:16:13Z |
| format | Article |
| id | doaj.art-a821a6d461124993837c14346c961359 |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-04-11T08:16:13Z |
| publishDate | 2022-09-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-a821a6d461124993837c14346c9613592022-12-22T04:35:09ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352022-09-01303213510.2478/auom-2022-0032On the three-spliced Exponential-Lognormal-Pareto distributionBâcă Adrian0Vernic Raluca1Doctoral School, Ovidius University of Constanta, 124 Mamaia, 900527Constanta, Romania.Faculty of Mathematics and Computer Science, Ovidius University of Constanta, 124 Mamaia, 900527Constanta, Romania.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.https://doi.org/10.2478/auom-2022-0032spliced distributionexponentiallognormalparetoparameters estimationprimary 60e05, 62f10secondary 62-08 |
| spellingShingle | Bâcă Adrian Vernic Raluca On the three-spliced Exponential-Lognormal-Pareto distribution Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica spliced distribution exponential lognormal pareto parameters estimation primary 60e05, 62f10 secondary 62-08 |
| title | On the three-spliced Exponential-Lognormal-Pareto distribution |
| title_full | On the three-spliced Exponential-Lognormal-Pareto distribution |
| title_fullStr | On the three-spliced Exponential-Lognormal-Pareto distribution |
| title_full_unstemmed | On the three-spliced Exponential-Lognormal-Pareto distribution |
| title_short | On the three-spliced Exponential-Lognormal-Pareto distribution |
| title_sort | on the three spliced exponential lognormal pareto distribution |
| topic | spliced distribution exponential lognormal pareto parameters estimation primary 60e05, 62f10 secondary 62-08 |
| url | https://doi.org/10.2478/auom-2022-0032 |
| work_keys_str_mv | AT bacaadrian onthethreesplicedexponentiallognormalparetodistribution AT vernicraluca onthethreesplicedexponentiallognormalparetodistribution |