A characterization of marginal distributions of (possibly dependent) lifetime variables which right censor each other

DOI10.1214/aos/1031594734zbMath0936.62014OpenAlexW2161662064MaRDI QIDQ1372849

Isaac Meilijson, Tim Bedford

Publication date: 18 May 2000

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1031594734

zbMATH Keywords

characterizationsurvival analysismarginal distributionsidentifiabilitydependent censoringKolmogorov-Smirnov testcompeting risk

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Nonparametric tolerance and confidence regions (62G15) Characterization and structure theory of statistical distributions (62E10) Reliability and life testing (62N05)

Related Items (5)

The identifiability problem for repairable systems subject to competing risks ⋮ Copulas, degenerate distributions and quantile tests in competing risk problems ⋮ On the NBU ageing notion within the competing risks model ⋮ Identification of parameters by the distribution of the minimum: The tri-variate normal case with negative correlations ⋮ Inference in Randomized Studies with Informative Censoring and Discrete Time-to-Event Endpoints

Cites Work

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• A note on independence of multivariate lifetimes in competing risks models
• Estimating dependent life lengths, with applications to the theory of competing risks
• Converting dependent models into independent ones, preserving essential features
• The total time on test statistic and age-dependent censoring
• Nonparametric Estimation from Incomplete Observations
• A nonidentifiability aspect of the problem of competing risks.
• Bounds for a joint distribution function with fixed sub-distribution functions: Application to competing risks
• On Estimating the Distribution of a Random Vector When Only the Smallest Coordinate Is Observable
• The Distribution of the Identified Minimum of a Normal Pair Determines the Distribution of the Pair
• Convergence of stochastic processes

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