A Comparative Review of Specification Tests for Diffusion Models

التفاصيل البيبلوغرافية
العنوان: A Comparative Review of Specification Tests for Diffusion Models
المؤلفون: López-Pérez, Alejandra, Febrero-Bande, Manuel, González-Manteiga, Wenceslao
سنة النشر: 2022
المجموعة: Statistics
مصطلحات موضوعية: Statistics - Applications
الوصف: Diffusion models play an essential role in modeling continuous-time stochastic processes in the financial field. Therefore, several proposals have been developed in the last decades to test the specification of stochastic differential equations. We provide a survey to collect some developments on goodness-of-fit tests for diffusion models and implement these methods to illustrate their finite sample behavior, regarding size and power, by means of a simulation study. We also apply the ideas of distance correlation for testing independence to propose a test for the parametric specification of diffusion models, comparing its performance with the other methods and analyzing the effect of the curse of dimensionality. As real data examples, treasury securities with different maturities are considered.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2208.08420
رقم الأكسشن: edsarx.2208.08420
قاعدة البيانات: arXiv