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q-Stieltjes classes for some families of q-densities

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  • Ostrovska, Sofiya
  • Turan, Mehmet

Abstract

The Stieltjes classes play a significant role in the moment problem allowing to exhibit explicitly infinite families of probability densities with the same sequence of moments. In this paper, the notion of q-moment determinacy/indeterminacy is proposed and some conditions for a distribution to be either q-moment determinate or indeterminate in terms of its q-density have been obtained. Also, a q-analogue of Stieltjes classes is defined for q-distributions and q-Stieltjes classes have been constructed for a family of q-densities of q-moment indeterminate distributions.

Suggested Citation

  • Ostrovska, Sofiya & Turan, Mehmet, 2019. "q-Stieltjes classes for some families of q-densities," Statistics & Probability Letters, Elsevier, vol. 146(C), pages 118-123.
    • Handle: RePEc:eee:stapro:v:146:y:2019:i:c:p:118-123
    DOI: 10.1016/j.spl.2018.11.013
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    References listed on IDEAS

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    1. Gwo Dong Lin, 2017. "Recent developments on the moment problem," Journal of Statistical Distributions and Applications, Springer, vol. 4(1), pages 1-17, December.
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