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On the q-moment Determinacy of Probability Distributions

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Abstract

Given \(0<q<1,\) every absolutely continuous distribution can be described in two different ways: in terms of a probability density function and also in terms of a q-density. Correspondingly, it has a sequence of moments and a sequence of q-moments, if they exist. In this article, new conditions on the q-moment determinacy of probability distributions are derived. In addition, results related to the comparison of the properties of probability distributions with respect to the moment- and q-moment determinacy are presented.

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Acknowledgements

The authors would like to extend their sincere gratitude to Prof. Alexandre Eremenko from Purdue University, USA for his valuable comments during the work on this paper. Also, appreciations go to Mr. P. Danesh from the Atilim University Academic Writing and Advisory Centre for his help in the preparation of the manuscript. Last but not least, we express our immense gratitude to the referees, whose valuable comments helped to improve the manuscript essentially.

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Authors and Affiliations

  1. Department of Mathematics, Atilim University, 06836, Ankara, Incek, Turkey

    Sofiya Ostrovska & Mehmet Turan

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  1. Sofiya Ostrovska
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  2. Mehmet Turan
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Correspondence to Sofiya Ostrovska.

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Communicated by Anton Abdulbasah Kamil.

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Ostrovska, S., Turan, M. On the q-moment Determinacy of Probability Distributions. Bull. Malays. Math. Sci. Soc. 43, 3885–3896 (2020). https://doi.org/10.1007/s40840-020-00894-y

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  • DOI: https://doi.org/10.1007/s40840-020-00894-y

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