Probability of default estimation in credit risk using mixture cure models Articles uri icon

publication date

  • January 2024

start page

  • 107853-1

end page

  • 107853-23

volume

  • 189

International Standard Serial Number (ISSN)

  • 0167-9473

Electronic International Standard Serial Number (EISSN)

  • 1872-7352

abstract

  • An estimator of the probability of default (PD) in credit risk is proposed. It is derived from a nonparametric conditional survival function estimator based on cure models. Asymptotic expressions for the bias and the variance, as well as the asymptotic normality of the proposed estimator are presented. A simulation study shows the performance of the nonparametric estimator compared with Beran's PD estimator and other semiparametric methods. Finally, an empirical study based on modified real data illustrates the practical behaviour.

subjects

  • Statistics

keywords

  • censored data; survival analysis; nonparametric estimation; kernel method