title: A note on inconsistency of NPMLE of the distribution function from left truncated and case I interval censored data.
abstract: We show that under reasonable conditions the nonparametric maximum likelihood estimate (NPMLE) of the distribution function from left-truncated and case 1 interval-censored data is inconsistent, in contrast to the consistency properties of the NPMLE from only left-truncated data or only interval-censored data. However, the conditional NPMLE is shown to be consistent. Numerical examples are provided to illustrate their finite sample properties.
authors.affiliation: Division of Biostatistics, University of Minnesota, Minneapolis, USA.
authors.forename: W
authors.initials: W
authors.lastname: Pan
authors.forename: R
authors.initials: R
authors.lastname: Chappell
mesh_terms: D000328:Adult; D000368:Aged; D000369:Aged, 80 and over; D000465:Algorithms; D003930:Diabetic Retinopathy / Q000453:epidemiology; D015981:Epidemiologic Factors; D006801:Humans; D016013:Likelihood Functions; D008875:Middle Aged; D012107:Research Design; D018709:Statistics, Nonparametric; D016019:Survival Analysis; D014922:Wisconsin / Q000453:epidemiology