The linear stochastic order and directed inference for multivariate ordered distributions

DOI10.1214/12-AOS1062zbMath1266.60029arXiv1303.1927OpenAlexW3102948366WikidataQ28709505 ScholiaQ28709505MaRDI QIDQ1952440

Ori Davidov, Shyamal D. Peddada

Publication date: 30 May 2013

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

Full work available at URL: https://arxiv.org/abs/1303.1927

zbMATH Keywords

nonparametric testsstochastic order relationsorder-restricted statistical inference

Mathematics Subject Classification ID

Multivariate analysis (62H99) Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Inequalities; stochastic orderings (60E15) Applications of statistics to psychology (62P15)

Related Items (13)

On stochastic orders defined by other stochastic orders and transformations of probabilities ⋮ Stochastic orderings for elliptical random vectors ⋮ Comparison of the multivariate skew-normal random vectors based on the integral stochastic ordering ⋮ Bootstrap- and permutation-based inference for the Mann-Whitney effect for right-censored and tied data ⋮ Linear orderings of the scale mixtures of the multivariate skew-normal distribution ⋮ An identity for expectations and characteristic function of matrix variate skew-normal distribution with applications to associated stochastic orderings ⋮ Backward and forward Wasserstein projections in stochastic order ⋮ Kurtosis tests for multivariate normality with monotone incomplete data ⋮ Hessian and increasing-Hessian orderings of scale-shape mixtures of multivariate skew-normal distributions and applications ⋮ Testing for the Multivariate Stochastic Order among Ordered Experimental Groups with Application to Dose–Response Studies ⋮ Stochastic orderings of multivariate elliptical distributions ⋮ Hessian orderings of multivariate normal variance-mean mixture distributions and their applications in evaluating dependent multivariate risk portfolios ⋮ K-combined random fields: Basic properties and stochastic orderings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multivariate stochastic orders induced by case-control sampling
• Testing for and against a stochastic ordering between multivariate multinomial populations
• Cube root asymptotics
• Nonsmooth optimization through mesh adaptive direct search and variable neighborhood search
• Inconsistency of bootstrap: the Grenander estimator
• Some stochastic orders of Kotz-type distributions
• Stochastically weighted stochastic dominance concepts with an application in capital budgeting
• Ordered inference, rank statistics and combining \(p\)-values: a new perspective
• Introduction to empirical processes and semiparametric inference
• A central limit theorem for two-sample U-processes
• Bootstrap Confidence Region Estimation of the Motion of Rigid Bodies
• Order-Restricted Inference for Multivariate Binary Data With Application to Toxicology
• Approximation Theorems of Mathematical Statistics
• Asymptotic Statistics
• Nonparametric Estimation of a Distribution Subject to a Stochastic Precedence Constraint
• Estimation of Multivariate Distributions Under Stochastic Ordering
• On a Class of m out of n Bootstrap Confidence Intervals
• The Limiting Distribution of the Maximum Rank Correlation Estimator
• Probability Inequalities for Sums of Bounded Random Variables
• On the Bootstrap of the Maximum Score Estimator
• Dose-Finding Based on Multiple Toxicities in a Soft Tissue Sarcoma Trial
• On a Heuristic Method of Test Construction and its use in Multivariate Analysis
• Subsampling inference in cube root asymptotics with an application to Manski's maximum score estimator.

This page was built for publication: The linear stochastic order and directed inference for multivariate ordered distributions