Distributional regression for data analysis

N Klein - Annual Review of Statistics and Its Application, 2024 - annualreviews.org
Flexible modeling of how an entire distribution changes with covariates is an important yet
challenging generalization of mean-based regression that has seen growing interest over …

[HTML][HTML] Generalized linear models for dependent frequency and severity of insurance claims

J Garrido, C Genest, J Schulz - Insurance: Mathematics and Economics, 2016 - Elsevier
Traditionally, claim counts and amounts are assumed to be independent in non-life
insurance. This paper explores how this often unwarranted assumption can be relaxed in a …

Multivariate frequency-severity regression models in insurance

EW Frees, G Lee, L Yang - Risks, 2016 - mdpi.com
In insurance and related industries including healthcare, it is common to have several
outcome measures that the analyst wishes to understand using explanatory variables. For …

Dependent frequency–severity modeling of insurance claims

P Shi, X Feng, A Ivantsova - Insurance: Mathematics and Economics, 2015 - Elsevier
Standard ratemaking techniques in non-life insurance assume independence between the
number and size of claims. Relaxing the independence assumption, this article explores …

Bivariate copula additive models for location, scale and shape

G Marra, R Radice - Computational Statistics & Data Analysis, 2017 - Elsevier
In generalized additive models for location, scale and shape (GAMLSS), the response
distribution is not restricted to belong to the exponential family and all the model's …

Gaussian copula regression in R

G Masarotto, C Varin - Journal of Statistical Software, 2017 - jstatsoft.org
This article describes the R package gcmr for fitting Gaussian copula marginal regression
models. The Gaussian copula provides a mathematically convenient framework to handle …

Modeling malicious hacking data breach risks

H Sun, M Xu, P Zhao - North American Actuarial Journal, 2021 - Taylor & Francis
Malicious hacking data breaches cause millions of dollars in financial losses each year, and
more companies are seeking cyber insurance coverage. The lack of suitable statistical …

A dependent frequency–severity approach to modeling longitudinal insurance claims

GY Lee, P Shi - Insurance: Mathematics and Economics, 2019 - Elsevier
In nonlife insurance, frequency and severity are two essential building blocks in the actuarial
modeling of insurance claims. In this paper, we propose a dependent modeling framework …

Stochastic gradient boosting frequency-severity model of insurance claims

X Su, M Bai - PloS one, 2020 - journals.plos.org
The standard GLM and GAM frequency-severity models assume independence between the
claim frequency and severity. To overcome restrictions of linear or additive forms and to …

Truly multivariate structured additive distributional regression

L Kock, N Klein - Journal of Computational and Graphical Statistics, 2024 - Taylor & Francis
Generalized additive models for location, scale and shape (GAMLSS) are a popular
extension to mean regression models where each parameter of an arbitrary parametric …