[HTML][HTML] Asymptotic properties of maximum likelihood estimator for the growth rate for a jump-type CIR process based on continuous time observations

M Barczy, MB Alaya, A Kebaier, G Pap - Stochastic Processes and their …, 2018 - Elsevier
We consider a jump-type Cox–Ingersoll–Ross (CIR) process driven by a standard Wiener
process and a subordinator, and we study asymptotic properties of the maximum likelihood …

Asymptotic properties of AD (1, n) model and its maximum likelihood estimator

MB Alaya, H Dahbi, H Fathallah - arXiv preprint arXiv:2303.08467, 2023 - arxiv.org
This paper deals with the problem of global parameter estimation of affine diffusions in
$\mathbb {R} _+\times\mathbb {R}^ n $ denoted by $ AD (1, n) $ where $ n $ is a positive …

Random effects estimation in a fractional diffusion model based on continuous observations

N Chebli, H Fathallah, Y Slaoui - arXiv preprint arXiv:2409.04331, 2024 - arxiv.org
The purpose of the present work is to construct estimators for the random effects in a
fractional diffusion model using a hybrid estimation method where we combine parametric …

On Conditional least squares estimation for the AD (1, n) model

MB Alaya, H Dahbi, H Fathallah - arXiv preprint arXiv:2406.07653, 2024 - arxiv.org
This paper deals with the problem of global parameter estimation of AD (1, n) where n is a
positive integer which is a subclass of affine diffusions introduced by Duffie, Filipovic, and …

Local asymptotic properties for Cox‐Ingersoll‐Ross process with discrete observations

M Ben Alaya, A Kebaier, NK Tran - Scandinavian Journal of …, 2020 - Wiley Online Library
In this paper, we consider a one‐dimensional Cox‐Ingersoll‐Ross (CIR) process whose drift
coefficient depends on unknown parameters. Considering the process discretely observed …

On conditional least squares estimation for affine diffusions based on continuous time observations

B Bolyog, G Pap - Statistical Inference for Stochastic Processes, 2019 - Springer
We study asymptotic properties of conditional least squares estimators for the drift
parameters of two-factor affine diffusions based on continuous time observations. We …

Asymptotic properties of maximum likelihood estimator for the growth rate of a stable CIR process based on continuous time observations

M Barczy, M Ben Alaya, A Kebaier, G Pap - Statistics, 2019 - Taylor & Francis
We consider a stable Cox–Ingersoll–Ross process driven by a standard Wiener process and
a spectrally positive strictly stable Lévy process, and we study asymptotic properties of the …

[PDF][PDF] Multilevel Monte Carlo methods and statistical inference for financial models

A Kebaier - 2017 - theses.hal.science
Multilevel Monte Carlo methods and statistical inference for financial models Page 1 HAL Id:
tel-01684717 https://theses.hal.science/tel-01684717v2 Submitted on 23 May 2021 HAL is a …

[PDF][PDF] The Existence, Uniqueness and Continuity of a Solution to Mixed Fractional Constant Elasticity of Variance Model with Double Stochastic Volatilities

Y Sun, Q Ye - Annals of Pure and Applied Mathematics, 2022 - researchmathsci.org
The Existence, Uniqueness and Continuity of a Solution to Mixed Fractional Constant Elasticity
of Variance Model with Double Sto Page 1 Annals of Pure and Applied Mathematics Vol. 25, No …

Local asymptotic properties for the growth rate of a jump-type CIR process

MB Alaya, A Kebaier, G Pap, NK Tran - arXiv preprint arXiv:1903.00358, 2019 - arxiv.org
In this paper, we consider a one-dimensional jump-type Cox-Ingersoll-Ross process driven
by a Brownian motion and a subordinator, whose growth rate is a unknown parameter. The …