2012
DOI: 10.2139/ssrn.2175226
|View full text |Cite
|
Sign up to set email alerts
|

Multivariate Negative Binomial Models for Insurance Claim Counts

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

0
44
0
1

Year Published

2015
2015
2021
2021

Publication Types

Select...
10

Relationship

0
10

Authors

Journals

citations
Cited by 32 publications
(45 citation statements)
references
References 37 publications
0
44
0
1
Order By: Relevance
“…If EðYÞ ¼ VðYÞ, the NB can be estimated using the Poisson model, and the NB model is more general than the Poisson model (Shi & Valdez, 2014). The mean m in the negative binominal model with m variables from the regional factors X p , the labor quality LPC s , and the average construction quality AFAIH s can be estimated by:…”
Section: Eðyþ ¼ M and Vðyþmentioning
confidence: 99%
“…If EðYÞ ¼ VðYÞ, the NB can be estimated using the Poisson model, and the NB model is more general than the Poisson model (Shi & Valdez, 2014). The mean m in the negative binominal model with m variables from the regional factors X p , the labor quality LPC s , and the average construction quality AFAIH s can be estimated by:…”
Section: Eðyþ ¼ M and Vðyþmentioning
confidence: 99%
“…Shi and Valdez (2014) considered some alternative multivariate models based on the NB and copulae that allow for a generalization of the dependence structure. Alternatively, we shall study a different method for generalizing the dependence structure by using the Sarmanov distribution.…”
Section: Multivariate Casementioning
confidence: 99%
“…It was first introduced by [53] and has attracted considerable attention in theoretical and application aspects in recent years. In insurance data analysis, copula-based approaches are used to model the dependence between different claim types [10,54], between accident date and reported date [23], between policy coverage and number of claims [17,18,55], between claim counts in successive periods [12,13], between claims in different business lines [56,57], between number 398 of claims and average claim size [4], and between time-to-claim and claim size [8].…”
Section: Dependence In Warranty Data Analysismentioning
confidence: 99%