Maximum Likelihood Estimation of the Survival Functions of N Stochastically Ordered Random Variables

DOI10.2307/2288568zbMath0587.62085OpenAlexW4212959212MaRDI QIDQ3713365

Carol J. Feltz, Richard L. Dykstra

Publication date: 1985

Published in: Journal of the American Statistical Association (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2288568

zbMATH Keywords

iterative algorithmmaximum likelihood estimatescensored datasurvival functionsorder restrictionsKaplan-Meier product limit estimatesKuhn-Tucker vectorslinear stochastic orderingsquamous carcinoma in the oropharynx

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Nonparametric estimation (62G05)

Related Items (16)

Bayesian nonparametric inference of stochastically ordered distributions, with Pólya trees and Bernstein polynomials ⋮ Restricted product multinomial and product Poisson maximum likelihood estimation based upon Fenchel duality ⋮ Constrained nonparametric maximum likelihood estimation of stochastically ordered survivor functions ⋮ A Nonparametric Mean Estimator for Judgment Poststratified Data ⋮ ROC convex hull and nonparametric maximum likelihood estimation ⋮ On maximum likelihood estimation of cell probabilities in 2 × k contingency tables under negative dependence restrictions with various sampling schemes ⋮ On the estimation of stochastically ordered survival functions ⋮ Testing for order among K populations: theory and examples ⋮ On the estimation of ordered means of two exponential populations ⋮ Nonparametric maximum likelihood estimation of distribution functions when they cross ⋮ Estimating cumulative incidence functions when the life distributions are constrained ⋮ A unified approach to testing for and against a set of linear inequality constraints in the product multinomial setting ⋮ Least-squares estimation of two-ordered monotone regression curves ⋮ On recursive formulas for isotonic regression useful for statistical inference under order restrictions ⋮ Nonparametric estimation in selection biased models in the presence of estimating equations ⋮ The analysis of contingency tables under inequality constraints

This page was built for publication: Maximum Likelihood Estimation of the Survival Functions of N Stochastically Ordered Random Variables