Extremal generators and extremal distributions for the continuous \(s\)-convex stochastic orderings
type: Item
instance of: scholarly article
title: Extremal generators and extremal distributions for the continuous \(s\)-convex stochastic orderings
zbMATH Open document ID: 0942.60002
DOI: 10.1016/S0167-6687(98)00053-5
author: Etienne De Vylder
author: Michel Denuit
author: Claude Lefèvre
published in: Insurance Mathematics \& Economics
publication date: 2000-08-21T00:00:00Z
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 62P05
zbMATH DE Number: 1335219
zbMATH Keywords: extremal generators
zbMATH Keywords: \(s\)-convex stochastic orderings
zbMATH Keywords: extremal distributions
MaRDI profile type: Publication
cites work: Q4135981
cites work: Insurance calculations using incomplete information
cites work: A criterion for \(n\)-convexity
cites work: Probability and expectation inequalities
cites work: Q3319183
cites work: Some new classes of stochastic order relations among arithmetic random variables, with applications in actuarial sciences
cites work: The s-convex orders among real random variables, with applications
cites work: Best upper bounds for integrals with respect to measures allowed to vary under conical and integral constraints
cites work: Maximization, under equality constraints, of a functional of a probability distribution
cites work: Q3948505
cites work: Maximization of the variance of a stop-loss reinsured risk
cites work: Q4040285
cites work: Moment-Preserving Shifts and Stochastic Dominance
cites work: Upper bounds on stop-loss premiums under constraints on claim size distributions as derived from representation theorems for distribution functions
cites work: Ordering of risks: a review
cites work: Numerical best bounds on stop-loss premiums
cites work: Application of the problem of moments to derive bounds on integrals with integral constraints
cites work: Determining Bounds on Integrals with Applications to Cataloging Problems
cites work: Determining Bounds on Expected Values of Certain Functions
cites work: Best upper and lower bounds on modified stop loss premiums in case of known range, mode, mean and variance of the original risk
cites work: Q3026109
cites work: Best upper bounds on risks altered by deductibles under incomplete information
cites work: Upper bounds on stop-loss premiums in case of known moments up to the fourth order
cites work: Extremal values of stop-loss premiums under moment constraints
cites work: Best bounds for positive distributions with fixed moments
cites work: Ordering claim size distributions and mixed Poisson probabilities
cites work: Optimal reinsurance in relation to ordering of risks
cites work: Q5624248
cites work: Generalized convex inequalities
cites work: Geometry of moment spaces
cites work: Q5534404
cites work: Q4027712
cites work: Stochastic Orders Generated by Integrals: a Unified Study
cites work: Convex functions, partial orderings, and statistical applications
cites work: Inequalities on expectations based on the knowledge of multivariate moments
cites work: Q3215459
cites work: Q4130155
cites work: Q4301147
cites work: Q3321201
cites work: Upper bounds on stop-loss premiums under constraints on claim size distribution
cites work: Stochastic Comparisons for Non-Markov Processes
Wikidata QID: Q126311173
full work available at URL: s0167-6687(98)00053-5
OpenAlex ID: W2073230354
description: scientific article; zbMATH DE number 1335219