Sökning: "hierarchical shrinkage"

Hittade 2 uppsatser innehållade orden hierarchical shrinkage.

1. 1. A Multi-Level Extension of the Hierarchical PCA Framework with Applications to Portfolio Construction with Futures Contracts

   Master-uppsats, KTH/Matematisk statistik

   Författare :Kajsa Bjelle; [2023]
   Nyckelord :Portfolio construction; asset allocation; principal component analysis; hierarchical principal component analysis; hierarchical shrinkage; eigenportfolio risk; Portföljkonstruktion; tillgångsallokering; principalkomponentanalys; hierarkisk principalkomponentanalys; hierarkisk krympning; egenportföljrisk;

   Sammanfattning : With an increasingly globalised market and growing asset universe, estimating the market covariance matrix becomes even more challenging. In recent years, there has been an extensive development of methods aimed at mitigating these issues. LÄS MER

3. 2. Spatial Statistical Modelling of Insurance Claim Frequency

   Master-uppsats, Lunds universitet/Matematisk statistik

   Författare :Daniel Faller; [2022]
   Nyckelord :Insurance risk; claim frequency; Markov chain Monte Carlo MCMC ; Riemann manifold Metropolis adjusted Langevin algorithm MMALA ; spatial statistics; Gaussian Markov random field GMRF ; preconditioned Crank Nicolson Langevin algorithm pCNL ; Gibbs sampling; Bayesian hierarchical modelling; high dimensional; shrinkage prior; horseshoe prior; regularisation.; Mathematics and Statistics;

   Sammanfattning : In this thesis a fully Bayesian hierarchical model that estimates the number of aggregated insurance claims per year for non-life insurances is constructed using Markov chain Monte Carlo based inference with Riemannian Langevin diffusion. Some versions of the model incorporate a spatial effect, viewed as the relative spatial insurance risk that originates from a policyholder's geographical location and where the relative spatial insurance risk is modelled as a continuous spatial field. LÄS MER