Consistency of the GMLE with Mixed Case Interval‐Censored Data

By Anton Schick *, Qiqing Yu. 2000

179 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/283016ba2f2bce148db02d42c2c19226f99eabac

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In Statistics and Probability

Citations in the corpus

Preservation Theorems for Glivenko-Cantelli and Uniform Glivenko-Cantelli Classes (2000, methodology): “To obtain a statement analogous to the theorem of Schick and Yu (1999), let Σ denote a sigma algebra for the space C of subsets: we are assuming that P (∩Kj=1[CK,j ∈ C]) = 1.”
Two estimators of the mean of a counting process with panel count data (2000, background): “6) is also given in Sun and Kalbfleisch (1995), the properties and behavior of this estimator are still unknown.”
Interval censoring: Model characterizations for the validity of the simplified likelihood (2004, methodology): “This interval censoring scheme has been widely studied, especially case 1 and case 2 (Groeneboom & Wellner 1992; Schick & Yu 2000 ).”
Likelihood Ratio Tests for Monotone Functions (2001, methodology): “22) is proved using consistency results of Schick and Yu (1999) for the unconstrained estimator Fn together with corresponding results for the constrained estimator Fn and Glivenko-Cantelli class arguments; see Banerjee (2000) for the details.”
NEW MULTI-SAMPLE NONPARAMETRIC TESTS FOR PANEL COUNT DATA (2009, background): “(6.4) Wellner and Zhang (2000) showed that d1(̂n, 0) a.s.−→ 0,(6.5) and hence that the uniform consistency of ̂n can be shown by using arguments similar to Proposition 5 of Schick and Yu (2000) under Conditions A, B, D and E; that is, sup t∈[τ0,τ ] |̂n(t) − 0(t)| a.s.−→ 0.”
Current status data with competing risks: Consistency and rates of convergence of the MLE (2006, methodology): “Local consistency of the naive estimator follows from [4, 13].”
Nonparametric k-sample tests with panel count data (2006, methodology): “This type of data, as a special case of panel count data, was referred to as mixed case interval censored data by Schick and Yu (2000).”
Frequentist and Bayesian approaches for interval-censored data (2004, background): “Schick and Yu (2000) discuss an extended case k model where the number of monitoring times is random.”
Confidence Intervals for Current Status Data (2005, methodology): “The subsampling technique followed here is from Politis et al. (1999) and is part of a general theory for obtaining confidence regions.”