Bayesian ratemaking with common effects modeled by mixture of Pólya tree processes
From MaRDI portal
Publication:1799639
DOI10.1016/j.insmatheco.2018.06.007zbMath1416.91227OpenAlexW2810726292MaRDI QIDQ1799639
Publication date: 19 October 2018
Published in: Insurance Mathematics \& Economics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.insmatheco.2018.06.007
Bayesian nonparametricscommon effectscredibility modelsexperience ratemakingMCMC and Pólya tree process
Applications of statistics to actuarial sciences and financial mathematics (62P05) Bayesian inference (62F15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Empirical investigation of insurance claim dependencies using mixture models
- A short history of Markov chain Monte Carlo: Subjective recollections from incomplete data
- Bivariate distributions with diatomic conditionals and stop-loss transforms of random sums
- On a class of Bayesian nonparametric estimates: I. Density estimates
- On the consistency of credibility premiums regarding Esscher principle
- The credibility premiums for models with dependence induced by common effects
- On the impact of independence of risks on stop loss premiums
- Polya trees and random distributions
- Some aspects of Pólya tree distributions for statistical modelling
- Stop-loss order for portfolios of dependent risks
- Time-varying credibility for frequency risk models: estimation and tests for autoregressive specifications on the random effects.
- More aspects of Pólya tree distributions for statistical modelling
- Prior distributions on spaces of probability measures
- Bayesian nonparametrics
- The consistency of posterior distributions in nonparametric problems
- Bayesian nonparametric predictive modeling of group health claims
- Explicit ruin formulas for models with dependence among risks
- A new characterization of distortion premiums via countable additivity for comonotonic risks
- Claim dependence with common effects in credibility models
- A Bayesian analysis of some nonparametric problems
- A course in credibility theory and its applications
- Simulation of ruin probabilities for risk processes of Markovian type
- Inference for Mixtures of Finite Polya Tree Models
- Sampling-Based Approaches to Calculating Marginal Densities
- Kernel stick-breaking processes
- The Matrix Stick-Breaking Process
- On Bayesian Mixture Credibility
- Credibility and the Dirichlet process
- Modeling Regression Error With a Mixture of Polya Trees
- Dependence in Dynamic Claim Frequency Credibility Models
- A Bayesian Semiparametric Accelerated Failure Time Model
- Gibbs Sampling Methods for Stick-Breaking Priors
- Bayesian and Conditional Frequentist Testing of a Parametric Model Versus Nonparametric Alternatives
- Credibility Estimation of Distribution Functions with Applications to Experience Rating in General Insurance
- On the Asymptotic Behavior of Bayes' Estimates in the Discrete Case
- Asymptotic Behavior of Bayes' Estimates
- Monte Carlo sampling methods using Markov chains and their applications
- Credibility Using Copulas