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

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  • Chen, Kani
  • Ying, Zhiliang

Abstract

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 fixed calendar time points or over any region of large calendar times. However, unless with proper modifications, the product-limit estimator is not uniformly consistent jointly over calendar time and life time horizons.

Suggested Citation

  • Chen, Kani & Ying, Zhiliang, 1999. "A note on uniform consistency of the product-limit estimator with staggered entry," Statistics & Probability Letters, Elsevier, vol. 42(3), pages 275-281, April.
    • Handle: RePEc:eee:stapro:v:42:y:1999:i:3:p:275-281
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