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On moment indeterminacy of the Benini income distribution

Author

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  • Christian Kleiber

Abstract

The Benini distribution is a lognormal-like distribution generalizing the Pareto distribution. Like the Pareto and the lognormal distributions it was originally proposed for modeling economic size distributions, notably the size distribution of personal income. This paper explores a probabilistic property of the Benini distribution, showing that it is not determined by the sequence of its moments although all the moments are finite. It also provides explicit examples of distributions possessing the same set of moments. Related distributions are briefly explored. Copyright Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • Christian Kleiber, 2013. "On moment indeterminacy of the Benini income distribution," Statistical Papers, Springer, vol. 54(4), pages 1121-1130, November.
    • Handle: RePEc:spr:stpapr:v:54:y:2013:i:4:p:1121-1130
    DOI: 10.1007/s00362-013-0535-9
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    Cited by:

    1. Vladimir Hlasny, 2021. "Parametric representation of the top of income distributions: Options, historical evidence, and model selection," Journal of Economic Surveys, Wiley Blackwell, vol. 35(4), pages 1217-1256, September.
    2. Gwo Dong Lin, 2017. "Recent developments on the moment problem," Journal of Statistical Distributions and Applications, Springer, vol. 4(1), pages 1-17, December.

    More about this item

    Keywords

    Benini distribution; Characterization of distributions ; Income distribution; Moment problem; Statistical distributions; Stieltjes class; 60E05; 62E10; 44A60;
    All these keywords.

    JEL classification:

    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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