About: Distortion function

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A distortion function in mathematics and statistics, for example, , is a non-decreasing function such that and . The dual distortion function is . Distortion functions are used to define distortion risk measures. Given a probability space , then for any random variable and any distortion function we can define a new probability measure such that for any it follows that

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  • A distortion function in mathematics and statistics, for example, , is a non-decreasing function such that and . The dual distortion function is . Distortion functions are used to define distortion risk measures. Given a probability space , then for any random variable and any distortion function we can define a new probability measure such that for any it follows that (en)
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  • A distortion function in mathematics and statistics, for example, , is a non-decreasing function such that and . The dual distortion function is . Distortion functions are used to define distortion risk measures. Given a probability space , then for any random variable and any distortion function we can define a new probability measure such that for any it follows that (en)
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  • Distortion function (en)
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