Advances in statistical inference for econometric diffusion models
- López Pérez, Alejandra María
- Wenceslao González Manteiga Director
- Manuel Febrero Bande Director
Defence university: Universidade de Santiago de Compostela
Fecha de defensa: 25 November 2022
- Eva Ferreira García Chair
- Juan Carlos Reboredo Nogueira Secretary
- Nuno Miguel Baptista Brites Committee member
Type: Thesis
Abstract
Due to their analytical tractability, continuous-time models have become a centerpiece in the financial literature. The goal of this thesis is the development of new goodness-of-fit test for continuous-time diffusion models, considering stochastic differential equations with deterministic and stochastic volatility and Itô diffusions as functional time series. Notwithstanding the importance of goodness-of-fit tools, latent factors and a continuous-time setting with observations occurring at discrete time points challenge the estimation of the models. Therefore, the estimation problem is addressed, as it hinders the goodness-of-fit procedures, discussing the intricacies of different estimation implementations prior to the methodological contribution of the test procedures.