**Problem of the Week**

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**Hilton Memorial Lecture**

seminars:stat:10012015

Statistics Seminar

Department of Mathematical Sciences

DATE: | Thursday, October 1, 2015 |
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TIME: | 1:15pm to 2:15pm |

LOCATION: | WH 100E |

SPEAKER: | Qiqing Yu, Binghamton University |

TITLE: | Asymptotic Normality Of The Product-Limit-Estimator Under Dependent Right Censoring |

**Abstract**

Let $T$ be the survival time, $R$ be the censoring time and $S(t)=P(T>t)$. If $T$ and $R$ are independent ($T\perp R$), several sufficient conditions have been established for the product-limit estimator (PLE) being asymptotically normally distributed on the whole real line (see, {\it e.g.}, Stute (1995)). However, the necessary and sufficient condition for the PLE to have an asymptotic normality property on the whole real line remains a difficult open problem. In this paper, we settle the problem under both the standard RC model which assumes $T\perp R$ and the dependent RC model.

seminars/stat/10012015.txt · Last modified: 2015/09/12 20:29 by shang

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