Discretization and Asymptotic Normality of Drift Parameters Estimator in the Cox-Ingersoll-Ross Model

Authors

  • Olha Prykhodko
  • Kostiantyn Ralchenko

DOI:

https://doi.org/10.17713/ajs.v54i1.1968

Abstract

This paper investigates the simultaneous estimation of two drift parameters of a Cox-Ingersoll-Ross (CIR) model, for which observations can be made either continuously or at discrete time instants. For continuous-time observations, we establish the joint asymptotic normality of the strongly consistent parameter estimators introduced in Dehtiar et al. (Comm. Statist. Theory Methods, 51(19):6818–6833, 2022). Additionally, we study the discrete counterparts of these estimators and prove their strong consistency and joint asymptotic normality.

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Published

2025-01-05

How to Cite

Prykhodko, O., & Ralchenko, K. (2025). Discretization and Asymptotic Normality of Drift Parameters Estimator in the Cox-Ingersoll-Ross Model. Austrian Journal of Statistics, 54(1), 82–99. https://doi.org/10.17713/ajs.v54i1.1968

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Section

Special Issue Department of Probability, Statistics and Actuarial Mathematics at TSNU of Kyiv