Updates
🌟 August 2026 Issue Published: New research articles now available in our latest journal issue. Discover cutting-edge findings. Read More 📢 Call for Papers: October 2026: Submit your research for peer review. Open access publishing with global visibility. Read More 🚀 Continental Scholarly Publications: Join our new multidisciplinary research journal platform. Publishing excellence since 2024. Read More 🎯 Special Issue: Digital Health: Call for papers on digital health innovations. Submission deadline: September 15 Read More 💼 Early Career Researcher Support: Special mentorship program and reduced fees for PhD candidates and new researchers. Read More 🔬 New Research Areas Open: Now accepting submissions in AI Ethics, Climate Science, and Public Health Innovation. Read More 🌐 Global Academic Network: Connect with researchers from 65+ countries through Continental Scholarly Publications. Read More ⏰ Fast-Track Peer Review: Accelerated review process available. Get decisions within 3 weeks. Read More

Journal of Statistical and Mathematical Sciences

Peer-Reviewed Academic Journal
Research Article

A COMPREHENSIVE ANALYSIS OF LOCAL COMPOSITE QUANTILE REGRESSION IN DIFFUSION MODELS

Authors & Affiliations
Li Wei
College of Mathematics and Information Science, Henan Normal University, 453007, Henan Province, P. R. China.
Published: January 7, 2025
Volume 12, Issue 4 (2024)
Article ID: 815
Peer-Reviewed
Open Access
Abstract

In this paper, we delve into the realm of Composite Quantile Regression (CQR) for parameter estimation within the context of diffusion models. While CQR has found utility in classical linear regression models and general non-parametric regression models, it has yet to be explored extensively in the domain of diffusion models. The diffusion model we consider operates within the framework of a filtered probability space (Ω, F, (Ft)t≥0, P), described by the stochastic differential equation: dXt = β(t)b(Xt)dt + σ(Xt)dWt, where β(t) is a time-dependent drift function, σ(⋅) and b(⋅) are known functions. Notably, this model encompasses several renowned option pricing models and interest rate term structure models, including Black and Scholes (1973), Vasicek (1977), Ho and Lee (1986), and Black, Derman, and Toy (1990), among others. Our exploration of CQR in diffusion models seeks to provide a robust framework for estimating regression coefficients in scenarios with intricate dynamics. By extending CQR to this domain, we aim to enhance our understanding of parameter estimation in diffusion models and contribute valuable insights to financial modeling and related fields

Full-Text Access

Open-access article — free to read and share.

Publish Your Research in This Journal

Continental Scholarly Publications applies rigorous double-blind peer review to every submission. Our expert editorial board ensures your work meets the highest standards of scholarship before reaching an international readership.

Double-Blind Review Global Indexing Fast Turnaround Open Access DOI Assigned Wide Readership
Submit a Manuscript