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On consistency of the monotone MLE of survival for left truncated and interval-censored data

Author

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  • Pan, Wei
  • Chappell, Rick
  • Kosorok, Michael R.

Abstract

The nonparametric monotone MLE is used to overcome the severe under-estimation of survival functions by the NPMLE for left truncated data when a monotone hazard assumption is appropriate. In this paper, we establish the consistency of the monotone MLE for interval-censored data with or without left truncation in two different ways corresponding to two different realistic conditions.

Suggested Citation

  • Pan, Wei & Chappell, Rick & Kosorok, Michael R., 1998. "On consistency of the monotone MLE of survival for left truncated and interval-censored data," Statistics & Probability Letters, Elsevier, vol. 38(1), pages 49-57, May.
  • Handle: RePEc:eee:stapro:v:38:y:1998:i:1:p:49-57
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    Cited by:

    1. Pao-sheng Shen, 2013. "Regression analysis of interval censored and doubly truncated data with linear transformation models," Computational Statistics, Springer, vol. 28(2), pages 581-596, April.
    2. Pao-Sheng Shen, 2020. "Nonparametric estimators of survival function under the mixed case interval-censored model with left truncation," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 26(3), pages 624-637, July.
    3. Chun-Lung Su & Pao-sheng Shen, 2021. "On consistency of the monotone NPMLE of survival function under the mixed case interval-censored model with left truncation," Computational Statistics, Springer, vol. 36(3), pages 1871-1883, September.

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