Inequalities for the probability content of a rotated ellipse and related stochastic domination results
From MaRDI portal
Publication:1379724
DOI10.1214/aoap/1043862426zbMath0890.60010OpenAlexW2089121903MaRDI QIDQ1379724
Thomas Mathew, Kenneth Nordström
Publication date: 9 June 1998
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoap/1043862426
stochastic orderingcouplingmajorizationSchur-convex functionnoncentral chi-square distributionPoisson mixture representation
Multivariate analysis (62H99) Inequalities; stochastic orderings (60E15) Geometric probability and stochastic geometry (60D05)
Related Items (5)
Inequalities for the probability content of a rotated ellipse and related stochastic domination results ⋮ Schur\(^2\)-concavity properties of Gaussian measures, with applications to hypotheses testing ⋮ Tolerance regions and multiple-use confidence regions in multivariate calibration ⋮ Shape optimal design criterion in linear models ⋮ ISO\(^*\) property of two-parameter compound Poisson distributions with applications
Cites Work
- Inequalities for the probability content of a rotated square and related convolutions
- Stochastic inequalities on partially ordered spaces
- Association and probability inequalities
- Stochastic ordering and dependence in applied probability
- Inequalities for the probability content of a rotated ellipse and related stochastic domination results
- Tolerance regions and multiple-use confidence regions in multivariate calibration
- Parametric Schur convexity and arrangement monotonicity properties of partial sums
- The Integral of a Symmetric Unimodal Function over a Symmetric Convex Set and Some Probability Inequalities
- A stochastic ordering of partial sums of independent random variables and of some random processes
- The Existence of Probability Measures with Given Marginals
- Inequalities: theory of majorization and its applications
This page was built for publication: Inequalities for the probability content of a rotated ellipse and related stochastic domination results
