On Estimating a Survival Curve Subject to a Uniform Stochastic Ordering Constraint

DOI10.2307/2290337zbMath0773.62030OpenAlexW4234430428MaRDI QIDQ5288913

Javier Rojo Jiménez, Francisco J. Samaniego

Publication date: 28 October 1993

Full work available at URL: https://doi.org/10.2307/2290337

zbMATH Keywords

reliabilityabsolutely continuouslifetimessurvival functionsfailure rateslife testingcumulative distribution functionsuniform stochastic orderinguniform convergence with probability onerecursive approachinadmissibility of the empirical distribution functionsup norm loss criteriontwo-sample estimation problem

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Admissibility in statistical decision theory (62C15) Reliability and life testing (62N05)

Related Items (17)

Consistent estimation of distributions with type II bias with applications in competing risks problems. ⋮ Testing uniform stochastic ordering for survival functions ⋮ Testing for uniform stochastic ordering via empirical likelihood ⋮ Smooth estimation of survival functions under mean residual life ordering ⋮ A general algorithm for non-parametric maximum likelihood estimator of stochastically ordered survival functions from case 2 interval-censored data ⋮ Nonparametric Maximum Likelihood Estimation Under a Likelihood Ratio Order ⋮ Consistent estimation of survival functions under uniform stochastic ordering; the \(k\)-sample case ⋮ Estimation of a monotone percentile residual life function under random censorship ⋮ Testing against uniform stochastic ordering with paired observations ⋮ Nonparametric quantile estimation under order constraints ⋮ On Projection‐type Estimators of Multivariate Isotonic Functions ⋮ More powerful goodness-of-fit tests for uniform stochastic ordering ⋮ Estimation of cumulative incidence functions when the lifetime distributions are uniformly stochastically ordered ⋮ Restricted estimation of the cumulative incidence functions of two competing risks ⋮ On the asymptotic distribution theory of a class of consistent estimators of a distribution satisfying a uniform stochastic ordering constraint. ⋮ Estimation of a monotone mean residual life. ⋮ Estimation of two ordered mean residual life functions

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