Enriched truncated exponentiated generalized family of distributions with application to heavy-tailed data

<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<rdf:Description>
<dc:creator>Dankwa, Richard</dc:creator>
<dc:creator>Cooray, Kahadawala</dc:creator>
<dc:creator>International Actuarial Association</dc:creator>
<dc:date>2026-04-20</dc:date>
<dc:description xml:lang="es">Sumario: The article introduces the Enriched Truncated Exponentiated Generalized (ETE-G) family of distributions for modeling heavy-tailed data, with particular application to insurance loss modeling. A three-parameter sub-model based on the log-logistic distribution (ETELL) is developed and its statistical properties are derived. Parameter estimation is addressed using maximum likelihood methods, and tail behavior is analyzed through tail index and moment conditions. The proposed models are applied to Norwegian fire insurance claims data, demonstrating superior goodness-of-fit compared with traditional Pareto-type distributions. The results highlight the relevance of the ETE-G family for actuarial risk measurement and extreme value analysis</dc:description>
<dc:identifier>https://documentacion.fundacionmapfre.org/documentacion/publico/es/bib/190616.do</dc:identifier>
<dc:language>eng</dc:language>
<dc:rights xml:lang="es">InC - http://rightsstatements.org/vocab/InC/1.0/</dc:rights>
<dc:subject xml:lang="es">Cálculo actuarial</dc:subject>
<dc:subject xml:lang="es">Distribuciones de probabilidad</dc:subject>
<dc:subject xml:lang="es">Colas pesadas</dc:subject>
<dc:subject xml:lang="es">Teoría del riesgo</dc:subject>
<dc:subject xml:lang="es">Análisis de riesgos</dc:subject>
<dc:type xml:lang="es">Artículos y capítulos</dc:type>
<dc:title xml:lang="es">Enriched truncated exponentiated generalized family of distributions with application to heavy-tailed data</dc:title>
<dc:relation xml:lang="es">En: Astin bulletin. - Belgium : ASTIN and AFIR Sections of the International Actuarial Association = ISSN 0515-0361. - 20/04/2026 Volumen 56 Número 2 - abril 2026 , 23 p.</dc:relation>
</rdf:Description>
</rdf:RDF>