Information Matrices for Composite Type Distributions

Composite type distributions are being increasingly used to model insurance data.  Yet no expressions seem to be available for observed information matrices.  In this paper, we give expressions for the matrices for two-piece, three-piece and m-piece composite distributions in their most general for...

Full description

Saved in:
Bibliographic Details
Main Authors: Jiahang Lyu, Saralees Nadarajah
Format: Article
Language:English
Published: Instituto Nacional de Estatística | Statistics Portugal 2025-08-01
Series:Revstat Statistical Journal
Subjects:
Online Access:https://revstat.ine.pt/index.php/REVSTAT/article/view/634
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849398536027766784
author Jiahang Lyu
Saralees Nadarajah
author_facet Jiahang Lyu
Saralees Nadarajah
author_sort Jiahang Lyu
collection DOAJ
description Composite type distributions are being increasingly used to model insurance data.  Yet no expressions seem to be available for observed information matrices.  In this paper, we give expressions for the matrices for two-piece, three-piece and m-piece composite distributions in their most general forms.  Expressions for a number of particular cases and a simulation study showing practical use are also given.
format Article
id doaj-art-4134b77335d84d4ea5b099221efbedbb
institution Kabale University
issn 1645-6726
2183-0371
language English
publishDate 2025-08-01
publisher Instituto Nacional de Estatística | Statistics Portugal
record_format Article
series Revstat Statistical Journal
spelling doaj-art-4134b77335d84d4ea5b099221efbedbb2025-08-20T03:38:35ZengInstituto Nacional de Estatística | Statistics PortugalRevstat Statistical Journal1645-67262183-03712025-08-0123310.57805/revstat.v23i3.634Information Matrices for Composite Type DistributionsJiahang Lyu0https://orcid.org/0000-0001-8500-4745Saralees Nadarajah1https://orcid.org/0000-0002-0481-0372University of ManchesterUniversity of Manchester Composite type distributions are being increasingly used to model insurance data.  Yet no expressions seem to be available for observed information matrices.  In this paper, we give expressions for the matrices for two-piece, three-piece and m-piece composite distributions in their most general forms.  Expressions for a number of particular cases and a simulation study showing practical use are also given. https://revstat.ine.pt/index.php/REVSTAT/article/view/634m-piece modelthree-piece modeltwo-piece model
spellingShingle Jiahang Lyu
Saralees Nadarajah
Information Matrices for Composite Type Distributions
Revstat Statistical Journal
m-piece model
three-piece model
two-piece model
title Information Matrices for Composite Type Distributions
title_full Information Matrices for Composite Type Distributions
title_fullStr Information Matrices for Composite Type Distributions
title_full_unstemmed Information Matrices for Composite Type Distributions
title_short Information Matrices for Composite Type Distributions
title_sort information matrices for composite type distributions
topic m-piece model
three-piece model
two-piece model
url https://revstat.ine.pt/index.php/REVSTAT/article/view/634
work_keys_str_mv AT jiahanglyu informationmatricesforcompositetypedistributions
AT saraleesnadarajah informationmatricesforcompositetypedistributions