<i>q</i>-Stieltjes classes for some families of <i>q</i>-densities

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Date

2019

Authors

Turan, Mehmet
Turan, Mehmet
Ostrovska, Sofiya

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Elsevier Science Bv

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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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. (C) 2018 Elsevier B.V. All rights reserved.

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Turan, Mehmet/0000-0002-1718-3902
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Turan, Mehmet ORCID logo

Keywords

q-distribution, q-moment, q-moment (in)determinacy, q-Stieltjes class, Analytic function, q-density

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3

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Q4

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Volume

146

Issue

Start Page

118

End Page

123

URI

https://doi.org/10.1016/j.spl.2018.11.013
 https://hdl.handle.net/20.500.14411/2768

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