Conditional Aalen--Johansen estimation
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916614847332352 |
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| author | Bladt, Martin Furrer, Christian |
| author_facet | Bladt, Martin Furrer, Christian |
| contents | The conditional Aalen--Johansen estimator, a general-purpose non-parametric estimator of conditional state occupation probabilities, is introduced. The estimator is applicable for any finite-state jump process and supports conditioning on external as well as internal covariate information. The conditioning feature permits for a much more detailed analysis of the distributional characteristics of the process. The estimator reduces to the conditional Kaplan--Meier estimator in the special case of a survival model and also englobes other, more recent, landmark estimators when covariates are discrete. Strong uniform consistency and asymptotic normality are established under lax moment conditions on the multivariate counting process, allowing in particular for an unbounded number of transitions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_02119 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Conditional Aalen--Johansen estimation Bladt, Martin Furrer, Christian Statistics Theory Methodology 62N02, 62G20, 60J74 The conditional Aalen--Johansen estimator, a general-purpose non-parametric estimator of conditional state occupation probabilities, is introduced. The estimator is applicable for any finite-state jump process and supports conditioning on external as well as internal covariate information. The conditioning feature permits for a much more detailed analysis of the distributional characteristics of the process. The estimator reduces to the conditional Kaplan--Meier estimator in the special case of a survival model and also englobes other, more recent, landmark estimators when covariates are discrete. Strong uniform consistency and asymptotic normality are established under lax moment conditions on the multivariate counting process, allowing in particular for an unbounded number of transitions. |
| title | Conditional Aalen--Johansen estimation |
| topic | Statistics Theory Methodology 62N02, 62G20, 60J74 |
| url | https://arxiv.org/abs/2303.02119 |