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The Elasticity of a Random Variable as a Tool for Measuring and Assessing Risks

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The Elasticity of a Random Variable as a Tool for Measuring and Assessing Risks

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dc.contributor.author Veres Ferrer, Ernesto Jesús
dc.contributor.author Pavía Miralles, José Manuel
dc.date.accessioned 2023-03-28T08:09:11Z
dc.date.available 2023-03-29T04:45:06Z
dc.date.issued 2022 es_ES
dc.identifier.citation Veres-Ferrer E-J, Pavía JM. The Elasticity of a Random Variable as a Tool for Measuring and Assessing Risks. Risks. 2022; 10(3):68. es_ES
dc.identifier.uri https://hdl.handle.net/10550/85937
dc.description.abstract Elasticity is a very popular concept in economics and physics, recently exported and reinterpreted in the statistical field, where it has given form to the so-called elasticity function. This function has proved to be a very useful tool for quantifying and evaluating risks, with applications in disciplines as varied as public health and financial risk management. In this study, we consider the elasticity function in random terms, defining its probability distribution, which allows us to measure for each stochastic process the probability of finding elastic or inelastic situations (i.e., with elasticities greater or less than 1). This new tool, together with new results on the most notable points of the elasticity function covered in this research, offers a new approach to risk assessment, facilitating proactive risk management. The paper also includes other contributions of interest, such as new results that relate elasticity and inverse hazard functions, the derivation of the functional form of the cumulative distribution function of a probability model with constant elasticity and how the elasticities of functionally dependent variables are related. The interested reader can also find in the paper examples of how elasticity cumulative distribution functions are calculated, and an extensive list of probability models with their associated elasticity functions and distributions. es_ES
dc.language.iso en es_ES
dc.publisher MDPI es_ES
dc.subject elasticity function es_ES
dc.subject cumulative distribution function of the elasticity es_ES
dc.subject random variable es_ES
dc.subject proportional reverse hazard rate es_ES
dc.title The Elasticity of a Random Variable as a Tool for Measuring and Assessing Risks es_ES
dc.type journal article es_ES
dc.subject.unesco UNESCO::CIENCIAS ECONÓMICAS es_ES
dc.identifier.doi 10.3390/risks10030068 es_ES
dc.accrualmethod S es_ES
dc.embargo.terms 0 days es_ES

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