On the <i>q</i>-moment Determinacy of Probability Distributions

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2020

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Malaysian Mathematical Sciences Soc

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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

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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Ostrovska, Sofiya/0000-0003-1842-7953
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Keywords

q-density, q-moment, Moment problem, q-moment (in)determinacy, Analytic function

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1

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Volume

43

Issue

6

Start Page

3885

End Page

3896

URI

https://doi.org/10.1007/s40840-020-00894-y
 https://hdl.handle.net/20.500.14411/3431

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