On the behavior of the high order stop-loss transform for convolutions with some applications

DOI10.1080/03610926.2020.1818101OpenAlexW3091689410MaRDI QIDQ5092697

Milto Hadjikyriakou, Paulo Eduardo Oliveira, Idir Arab

Publication date: 22 July 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2020.1818101

zbMATH Keywords

convolutionstop-loss transformiterated distributions

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

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• Quantile based stop-loss transform and its applications
• Tailweight and life distributions
• Ordering risks: expected utility theory versus Yaari's dual theory of risk
• On the \(n\)th stop-loss transform order of ruin probability.
• A note on stochastic dominance and inequality measures
• Characterizations of Lorenz curves and income distributions
• Asymptotic multivariate dominance: a financial application
• On the stop-loss transform and order for the surplus process perturbed by diffusion
• Properties of moments for s-order equilibrium distributions
• Approximation of sums by compound Poisson distributions with respect to stop-loss distances
• The Distribution of Sums of I.I.D. Pareto Random Variables with Arbitrary Shape Parameter
• ITERATED FAILURE RATE MONOTONICITY AND ORDERING RELATIONS WITHIN GAMMA AND WEIBULL DISTRIBUTIONS – CORRIGENDUM
• ITERATED FAILURE RATE MONOTONICITY AND ORDERING RELATIONS WITHIN GAMMA AND WEIBULL DISTRIBUTIONS
• The Distribution of Sums of Certain I.I.D. Pareto Variates
• On some generalized ageing orderings
• Advances in reliability
• Axiomatic characterization of the Gini coefficient and Lorenz curve orderings.

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