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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

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.

Suggested Citation

  • Todor Kaloyanov, 2008. "A Possibility for a Graphic Representation of the Inter-relations among the Parameters of Statistical Distributions," Economic Thought journal, Bulgarian Academy of Sciences - Economic Research Institute, issue 7, pages 118-133.
  • Handle: RePEc:bas:econth:y:2008:i:7:p:118-133
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    References listed on IDEAS

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    1. M. S. Feldstein, 1969. "Mean-Variance Analysis in the Theory of Liquidity Preference and Portfolio Selection," Review of Economic Studies, Oxford University Press, vol. 36(1), pages 5-12.
    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 354-371, June.
    3. Paul A. Samuelson, 1970. "The Fundamental Approximation Theorem of Portfolio Analysis in terms of Means, Variances and Higher Moments," Review of Economic Studies, Oxford University Press, vol. 37(4), pages 537-542.
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    More about this item

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • J10 - Labor and Demographic Economics - - Demographic Economics - - - General
    • J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth

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