A note on uniform consistency of the product-limit estimator with staggered entry

✍ Scribed by Kani Chen; Zhiliang Ying

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 102 KB
• Volume: 42
• Category: Article
• ISSN: 0167-7152
• DOI: 10.1016/s0167-7152(98)00217-x

✦ Synopsis

Consider the uniform consistency of the product-limit estimator of survival function with censored data and staggered entry. We show that the product-limit estimator is uniformly consistent over life time horizon at ÿxed calendar time points or over any region of large calendar times. However, unless with proper modiÿcations, the product-limit estimator is not uniformly consistent jointly over calendar time and life time horizons.