On the behavior of the Lynden-Bell estimator in widely orthant-dependent model

Mohamed Kaber El Alem, Zohra Guessoum and Abdelkader Tatachak

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 5, 1441-1460

Abstract: This article is devoted to investigating some asymptotic properties of the Lynden-Bell and the cumulative risk function estimators when the survival and the truncated times form widely orthant-dependent sequences. As main results, we establish strong uniform consistency rates for the proposed estimators. Then, as an application, we derive a strong uniform consistency rate for the hazard rate function estimator. The performances of the proposed estimators are illustrated via some simulations.

Date: 2025
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DOI: 10.1080/03610926.2024.2341179

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