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arXiv · 2403.02840

On a theory of martingales for censoring

Benjamin R. Baer·Robert L. Strawderman
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Abstract

A theory of martingales for censoring is developed. The Doob-Meyer martingale is shown to be inadequate in general, and a repaired martingale is proposed with a non-predictable centering term. Associated martingale transforms, variation processes, and covariation processes are developed based on a measure of half-predictability that generalizes predictability. The development is applied to study the Kaplan Meier estimator.

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Benjamin R. Baer, Robert L. Strawderman. 2024-03-05. On a theory of martingales for censoring. https://arxiv.org/abs/2403.02840

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