Distortion function

id: distortion-function-322-5210724
title: Distortion function
text: A distortion function in mathematics and statistics, for example, g : [ 0 , 1 ] → [ 0 , 1 ] , is a non-decreasing function such that g = 0 and g = 1 . The dual distortion function is g ~ = 1 − g . Distortion functions are used to define distortion risk measures. Given a probability space , then for any random variable X and any distortion function g we can define a new probability measure Q such that for any A ∈ F it follows that
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Distortion_function
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date modified: 2022-12-08T23:02:35Z
main entity: {"identifier":"Q5283073","url":"https://www.wikidata.org/entity/Q5283073"}
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