Intervalos de confiança para dados com presença de eventos recorrentes e censuras.
Resumen
In survival analysis and reliability is common that the population units in study presents
recurrence events and censoring ages, besides, is possible to exist a cost related to each event
that happens. The objectives of this dissertation consists in display a methodology that
makes possible the direct obtaining of confidence intervals baseds in asymptotic theory for
nonparametric estimates to the mean cumulative number or cost events per unit. Some
simulation studies are also showed and the objectives are check if there is some sample size's
influence in the asymptotics confidence interval's precision. One of the great advantages
from the methodology presented in this dissertation is the validity for it’s application in
several areas of the knowledge. There's two examples considered here. One of them consists
in coming data from engineering. This example contains a ‡eet of machines in analysis. The
interest is to obtain punctual estimates with the respective confidence intervals for the mean
cumulative number and cost repairs per machine. The other example comes from the medical
area and it treats of a study accomplished with two groups of patients with bladder can-
cer, each one submitted in a di¤erent treatment type. The application of the methodology
in this example seeks the obtaining of confidence intervals for the mean cumulative number of
tumors per patient and gain estimates that compare these two di¤erents treatments
informing, statistically, which presents better results.