Regression Analysis of the II Interval-Censored failure Time Data Under the Proportional Odds Model

DOI

10.2991/978-94-6463-992-6_39How to use a DOI?

Keywords

Maximum Likelihood Estimation; Proportional Odds Model; Interval-Censored Data

Abstract

This paper discusses a maximum approximate likelihood estimation approach for the proportional odds model with interval-censored failure time data, which commonly occurs in many fields such as medical follow-up studies. We develop a robust estimation framework under the proportional odds model, which offers greater flexibility in capturing time-varying covariate effects compared to the proportional hazards model. For parameter estimation, we construct a sieve maximum likelihood function and employ Bernstein polynomials to approximate the unknown cumulative baseline odds function in the model. This approach effectively converts the original infinite-dimensional parameter space estimation problem into a computationally tractable finite-dimensional optimization task, significantly reducing the complexity of parameter estimation under interval-censored data. Additionally, simulation studies demonstrate that the method performs well in finite samples, offering satisfactory estimation accuracy and robustness. Furthermore, the approach is applied to an AIDS clinical trial. Compared to existing nonparametric maximum likelihood estimation methods, the proposed estimator provides a superior fit to the survival function.

Copyright

© 2026 The Author(s)

Open Access

Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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TY  - CONF
AU  - Yao Li
AU  - Yonghui Kuang
PY  - 2026
DA  - 2026/02/20
TI  - Regression Analysis of the II Interval-Censored failure Time Data Under the Proportional Odds Model
BT  - Proceedings of the 2025 4th International Conference on Mathematical Statistics and Economic Analysis (MSEA 2025)
PB  - Atlantis Press
SP  - 419
EP  - 425
SN  - 2352-5428
UR  - https://doi.org/10.2991/978-94-6463-992-6_39
DO  - 10.2991/978-94-6463-992-6_39
ID  - Li2026
ER  -