Advances in statistical inference for econometric diffusion models

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 stocha...

Descripción completa

Detalles Bibliográficos
Autor: López Pérez, Alejandra
Tipo de recurso: tesis doctoral
Fecha de publicación:2022
País:España
Institución:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/29802
Acceso en línea:http://hdl.handle.net/10347/29802
Access Level:acceso abierto
Palabra clave:Materias::Investigación::12 Matemáticas::1209 Estadística::120911 Teoría estocástica y análisis de series temporales
Materias::Investigación::12 Matemáticas::1209 Estadística::120913 Técnicas de inferencia estadística
Materias::Investigación::12 Matemáticas::1209 Estadística::120902 Calculo en estadística
Descripción
Sumario: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.