On the asymptotic distribution theory of a class of consistent estimators of a distribution satisfying a uniform stochastic ordering constraint.

DOI10.1214/aos/1016120367zbMath1106.62332OpenAlexW1535733413MaRDI QIDQ1848772

Francisco J. Samaniego, Miguel A. Arcones

Publication date: 14 November 2002

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

Full work available at URL: https://projecteuclid.org/euclid.aos/1016120367

zbMATH Keywords

Brownian motionempirical processeshazard rate orderingUniform stochastic ordering

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20)

Related Items (11)

Consistent estimation of distributions with type II bias with applications in competing risks problems. ⋮ Testing for uniform stochastic ordering via empirical likelihood ⋮ Ranking graphs through hitting times of Markov chains ⋮ Nonparametric Maximum Likelihood Estimation Under a Likelihood Ratio Order ⋮ Construction of aggregation paradoxes through load-sharing models ⋮ Testing against uniform stochastic ordering with paired observations ⋮ Stochastic precedence and minima among dependent variables ⋮ 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 ⋮ Estimation of two ordered mean residual life functions

Cites Work

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• On nonparametric maximum likelihood estimation of a distribution uniformly stochastically smaller than a standard
• Tail ordering and asymptotic efficiency of rank tests
• Testing with replacement and the product limit estimator
• Statistical inference for uniform stochastic ordering in several populations
• Stochastically larger component of a random vector
• A large sample study of the life table and product limit estimates under random censorship
• Uniform stochastic ordering and related inequalities
• On tail-ordering and comparison of failure rates
• Multivariate monotone likelihood ratio and uniform conditional stochastic order
• Estimation of the Quantile Function of an IFRA Distribution
• Applications of the hazard rate ordering in reliability and order statistics
• Estimation of Survival Functions Under Uniform Stochastic Ordering
• On Estimating a Survival Curve Subject to a Uniform Stochastic Ordering Constraint

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