Using the semivariance to estimate safety-first rules

Extract: Given only knowledge of a finite mean, variance, and semivariance, it is shown that a Chebychev-type inequality based on the semivariance gives the smallest upper bound on the probability of being k standard deviations below the mean. Three examples are considered for agricultural yield and...

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Veröffentlicht in:American journal of agricultural economics 1982-05, Vol.64 (2), p.298-300
Hauptverfasser: Berck, P, Hihn, J.M
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description Extract: Given only knowledge of a finite mean, variance, and semivariance, it is shown that a Chebychev-type inequality based on the semivariance gives the smallest upper bound on the probability of being k standard deviations below the mean. Three examples are considered for agricultural yield and revenue data for the United States and the Philippines. Comparisons are made to upper bounds derived from both the standard Chebychev inequality and the standard Chebychev inequality and the assumption of symmetry.
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source Oxford University Press Journals Digital Archive Legacy; Periodicals Index Online; EBSCOhost Business Source Complete; JSTOR Archive Collection A-Z Listing; EZB-FREE-00999 freely available EZB journals
subjects Crop economics
Crops
economic analysis
Fertilization
Revenue
risk
Standard deviation
Statistical variance
Subsistence farming
Sugar beets
title Using the semivariance to estimate safety-first rules
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