- Tytuł:
-
Partially Paramertic Estimation of Survival Function in the Right-censored Data
Częściowo parametryczny estymator funkcji przeżycia dla danych prawostronnie cenzurowanych - Autorzy:
- Rossa, Agnieszka
- Powiązania:
- https://bibliotekanauki.pl/articles/905270.pdf
- Data publikacji:
- 2003
- Wydawca:
- Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
- Tematy:
-
censored data
survival function - Opis:
-
Abstract. In many medical, biological or economic follow-up studies the subject of
observation is survival, failure or duration time, that is the length of time elapsed from
a specific starting point to an event of interest. In engineering applications it may be
the time to failure of piece of equipment, in medical trials - time to occurrence of
a particular disease or time to death of a patient due to some specific disease, in
economic studies - time of being unemployed and so on.
In the analysis of survival-type variables one is often faced with right-censored
observations. Sometimes it is impossible to measure the true failure time of an individual
due to previous occurrence of some other event called competing event, which result in
interruption of observation before the event occurs. It may be withdrawal of the subject
from the study or failure from some causes other the one of interest or simply limitation
on the length of study. If we are only interested in failure time, then the competing
events can be regarded as right-censoring the event of interest. It means that for each
individual we observe either the time to failure or the time to censoring and for censored
individuals we know only that the time to failure is greater then the censoring time.
In reliability studies censoring is often planned in order to obtain information sooner
than it is otherwise possible. Instead of testing m units until they fail, the Type
I censoring design is employed in which more then m units are tested but observation
is terminated earlier at the end of some specified period x*. Those units, which failed
before this time yield complete observations and the rest of them is right-censored.
Despite such incompleteness of the data it is often desired to estimate survival function
that is the probability P(X > x) that the true failure time X in the population of
individuals exceeds x.
The paper deals with a problem of estimating survival function in the right-censored
data. Some improvements of the well-known Kaplan - Meier estimator are discussed
and their properties are studied.
W pracy omówione są dwa estymatory funkcji przeżycia, będące modyfikacją estymatora Kaplana-Meiera. Podstawowe własności statystyczne estymatorów zostały porównane za pomocą metod symulacyjnych. - Źródło:
-
Acta Universitatis Lodziensis. Folia Oeconomica; 2003, 164
0208-6018
2353-7663 - Pojawia się w:
- Acta Universitatis Lodziensis. Folia Oeconomica
- Dostawca treści:
- Biblioteka Nauki
Artykuł