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A Possibility for a Graphic Representation of the Inter-relations among the Parameters of Statistical Distributions

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  • Todor Kaloyanov
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    Abstract

    In some of the cases when statistical methods of research on inter-relationships and interdependencies are applied to distributions different from the normal, the results can be disputed. One of the reasons is that the construction of these methods is based only on the first moment, the second central and mixed moments. The measures based on moments of higher order, such as the estimators for asymmetry and excess, are usually ignored despite the fact that they carry information which very often is extremely valuable. The article presents an idea for the simultaneous use of the moments from the first to the fourth order - the mean, standard deviation, and the asymmetry and excess coefficients for comparing several distributions to the same moment and for investigating the dynamics of distributions.

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    Bibliographic Info

    Article provided by Bulgarian Academy of Sciences - Economic Research Institute in its journal Economic Thought - Special Issue in English.

    Volume (Year): (2008)
    Issue (Month): 7 ()
    Pages: 118-133

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    Handle: RePEc:bas:econth:y:2008:i:7:p:118-133

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    1. Samuelson, Paul A, 1970. "The Fundamental Approximation Theorem of Portfolio Analysis in terms of Means, Variances, and Higher Moments," Review of Economic Studies, Wiley Blackwell, vol. 37(4), pages 537-42, October.
    2. Tsiang, S C, 1972. "The Rationale of the Mean-Standard Deviation Analysis, Skewness Preference, and the Demand for Money," American Economic Review, American Economic Association, vol. 62(3), pages 354-71, June.
    3. Feldstein, Martin S, 1969. "Mean-Variance Analysis in the Theory of Liquidity Preference and Portfolio Selection," Review of Economic Studies, Wiley Blackwell, vol. 36(105), pages 5-12, January.
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