University of Bahrain
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New Formulae and Uses of Mean Absolute Deviation

Show simple item record Elamir, Elsayed A. H. 2018-08-01T05:41:53Z 2018-08-01T05:41:53Z 2015
dc.identifier.issn 2384-4663
dc.description.abstract Mean absolute deviation about mean and median is extended to define “MAD-comoment” similarly analogous to classical central moment notation of covariance. Therefore, the “MAD-comoment” is used to derive the coefficient of determination in LAD regression, to analyze total sum of absolute into the pure between sum of absolute and the pure within sum of absolute that provides the exact decomposition of Pietria index of inequality, to develop a new formula for beta coefficient in financial risk analysis that gives less weight at the extreme ends than least squares method for market return and to define MAD-correlation under first moment assumption. en_US
dc.language.iso en en_US
dc.publisher University of Bahrain en_US
dc.rights Attribution-NonCommercial-ShareAlike 4.0 International *
dc.rights.uri *
dc.subject beta coefficient
dc.subject comoment
dc.subject correlation
dc.subject MAD
dc.subject LAD regression
dc.subject Pietra index
dc.title New Formulae and Uses of Mean Absolute Deviation en_US
dc.type Article en_US
dc.volume 02
dc.issue 01
dc.source.title International Journal of Business and Statistical Analysis
dc.abbreviatedsourcetitle IJBSA

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