State occupation probabilities in non-Markov models
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2019
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916515605905408 |
|---|---|
| author | Overgaard, Morten |
| author_facet | Overgaard, Morten |
| contents | The consistency of the Aalen--Johansen-derived estimator of state occupation probabilities in non-Markov multi-state settings is studied and established via a new route. This new route is based on interval functions and relies on a close connection between additive and multiplicative transforms of interval functions, which is established. Under certain assumptions, the consistency follows from explicit expressions of the additive and multiplicative transforms related to the transition probabilities as interval functions, which are obtained, in combination with certain censoring and positivity assumptions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1905_13499 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | State occupation probabilities in non-Markov models Overgaard, Morten Statistics Theory The consistency of the Aalen--Johansen-derived estimator of state occupation probabilities in non-Markov multi-state settings is studied and established via a new route. This new route is based on interval functions and relies on a close connection between additive and multiplicative transforms of interval functions, which is established. Under certain assumptions, the consistency follows from explicit expressions of the additive and multiplicative transforms related to the transition probabilities as interval functions, which are obtained, in combination with certain censoring and positivity assumptions. |
| title | State occupation probabilities in non-Markov models |
| topic | Statistics Theory |
| url | https://arxiv.org/abs/1905.13499 |