A general family of univariate stochastic orders

DOI10.1016/j.jspi.2007.03.035zbMath1124.60018OpenAlexW2026875239MaRDI QIDQ2382883

Xiaohu Li, Shaked, Moshe

Publication date: 4 October 2007

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2007.03.035

zbMATH Keywords

Distortion functionProportional hazardsDispersive orderLehmann's alternativesCoherent systemLocation independent riskier orderPremiumReliability functionTotal time on test transform

Mathematics Subject Classification ID

Related Items (6)

A family of variability measures based on the cumulative residual entropy and distortion functions ⋮ Stochastic ordering properties for systems with dependent identically distributed components ⋮ A class of location-independent variability orders, with applications ⋮ On the relationship of location-independent riskier order to the usual stochastic order ⋮ Some properties of the generalized TTT transform ⋮ Total Time on Test Transforms of Order n and Their Implications in Reliability Analysis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic orders
• Dispersive ordering and the total time on test transformation
• Axiomatic characterization of insurance prices
• Some results on the proportional reversed hazards model
• Some mathematical aspects of reinsurance
• A characterization of the dilation order and its applications
• Imperfect repair
• On Stop-Loss Order and the Distortion Pricing Principle
• Choosing Between Risky Prospects: The Characterization of Comparative Statics Results, and Location Independent Risk
• Partial Orderings of Distributions Based on Right-Spread Functions
• The total time on test transform and the excess wealth stochastic orders of distributions

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