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On the condensed density of the zeros of the Cauchy transform of a complex atomic random measure with Gaussian moments

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  • Barone, P.

Abstract

An atomic random complex measure defined on the unit disk with normally distributed moments is considered. An approximation to the distribution of the zeros of its Cauchy transform is computed. Implications of this result for solving several moment problems are discussed.

Suggested Citation

  • Barone, P., 2013. "On the condensed density of the zeros of the Cauchy transform of a complex atomic random measure with Gaussian moments," Statistics & Probability Letters, Elsevier, vol. 83(11), pages 2569-2576.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:11:p:2569-2576
    DOI: 10.1016/j.spl.2013.08.006
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    References listed on IDEAS

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    1. Barone, Piero, 2012. "On the condensed density of the generalized eigenvalues of pencils of Gaussian random matrices and applications," Journal of Multivariate Analysis, Elsevier, vol. 111(C), pages 160-173.
    2. Barone, P., 2011. "A generalization of Bartlett's decomposition," Statistics & Probability Letters, Elsevier, vol. 81(3), pages 371-381, March.
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    Cited by:

    1. Barone, P., 2016. "Bivariate one-sample optimal location test for spherical stable densities by Pade’ methods," Journal of Multivariate Analysis, Elsevier, vol. 144(C), pages 189-199.

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    1. Barone, Piero, 2012. "On the condensed density of the generalized eigenvalues of pencils of Gaussian random matrices and applications," Journal of Multivariate Analysis, Elsevier, vol. 111(C), pages 160-173.
    2. Barone, P., 2016. "Bivariate one-sample optimal location test for spherical stable densities by Pade’ methods," Journal of Multivariate Analysis, Elsevier, vol. 144(C), pages 189-199.

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