An almost-sure approximation of a multivariate product-limit estimator under random censorship. (English) Zbl 0684.62023
Summary: An almost-sure approximation by a sequence of Gaussian processes of a multivariate product-limit estimator is obtained. The estimator is based on a sequence of i.i.d. random vectors subject to right censorship by another sequence of random vectors. Properties of the limiting Gaussian process are discussed.
MSC:
| 62E20 | Asymptotic distribution theory in statistics |
| 62N05 | Reliability and life testing |
| 60F15 | Strong limit theorems |
| 62P10 | Applications of statistics to biology and medical sciences; meta analysis |
| 62H12 | Estimation in multivariate analysis |
| 60F05 | Central limit and other weak theorems |
