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

Wei Pan; Rick Chappell; Michael R. Kosorok

doi:10.1016/s0167-7152(97)00153-3

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

Wei Pan, Rick Chappell, Michael R. Kosorok

Biostatistics

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10 Scopus citations

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.

Original language	English (US)
Pages (from-to)	49-57
Number of pages	9
Journal	Statistics and Probability Letters
Volume	38
Issue number	1
DOIs	https://doi.org/10.1016/s0167-7152(97)00153-3
State	Published - May 15 1998

Keywords

Cumulative hazard function
Monotone hazard
Nonparametric maximum likelihood
Vague convergence

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10.1016/s0167-7152(97)00153-3

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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.",

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AU - Kosorok, Michael R.

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AB - 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.

KW - Cumulative hazard function

KW - Monotone hazard

KW - Nonparametric maximum likelihood

KW - Vague convergence

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

Abstract

Keywords

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