Tsallis Entropy for Loss Models and Survival Models Involving Truncated and Censored Random Variables.
Tsallis entropy measures
censoring
loss models
proportional hazard model
proportional reversed hazard model
risk assessment
survival models
truncation
Journal
Entropy (Basel, Switzerland)
ISSN: 1099-4300
Titre abrégé: Entropy (Basel)
Pays: Switzerland
ID NLM: 101243874
Informations de publication
Date de publication:
14 Nov 2022
14 Nov 2022
Historique:
received:
25
08
2022
revised:
11
11
2022
accepted:
11
11
2022
entrez:
24
11
2022
pubmed:
25
11
2022
medline:
25
11
2022
Statut:
epublish
Résumé
The aim of this paper consists in developing an entropy-based approach to risk assessment for actuarial models involving truncated and censored random variables by using the Tsallis entropy measure. The effect of some partial insurance models, such as inflation, truncation and censoring from above and truncation and censoring from below upon the entropy of losses is investigated in this framework. Analytic expressions for the per-payment and per-loss entropies are obtained, and the relationship between these entropies are studied. The Tsallis entropy of losses of the right-truncated loss random variable corresponding to the per-loss risk model with a deductible
Identifiants
pubmed: 36421509
pii: e24111654
doi: 10.3390/e24111654
pmc: PMC9689868
pii:
doi:
Types de publication
Journal Article
Langues
eng
Déclaration de conflit d'intérêts
The authors declare no conflict of interest.
Références
PLoS One. 2015 Oct 15;10(10):e0140546
pubmed: 26468948
Entropy (Basel). 2020 Mar 06;22(3):
pubmed: 33286078
Entropy (Basel). 2022 Mar 29;24(4):
pubmed: 35455139