On the <i>q</I>-moment Determinacy of Probability Distributions
| dc.contributor.author | Ostrovska, Sofiya | |
| dc.contributor.author | Turan, Mehmet | |
| dc.date.accessioned | 2024-07-05T15:41:12Z | |
| dc.date.available | 2024-07-05T15:41:12Z | |
| dc.date.issued | 2020 | |
| dc.description | Ostrovska, Sofiya/0000-0003-1842-7953 | en_US |
| dc.description.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. | en_US |
| dc.description.sponsorship | Purdue University; Atilim Üniversitesi | |
| dc.description.sponsorship | 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. | |
| dc.identifier.doi | 10.1007/s40840-020-00894-y | |
| dc.identifier.issn | 0126-6705 | |
| dc.identifier.issn | 2180-4206 | |
| dc.identifier.scopus | 2-s2.0-85078861986 | |
| dc.identifier.uri | https://doi.org/10.1007/s40840-020-00894-y | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/3431 | |
| dc.language.iso | en | en_US |
| dc.publisher | Malaysian Mathematical Sciences Soc | en_US |
| dc.relation.ispartof | Bulletin of the Malaysian Mathematical Sciences Society | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | q-density | en_US |
| dc.subject | q-moment | en_US |
| dc.subject | Moment problem | en_US |
| dc.subject | q-moment (in)determinacy | en_US |
| dc.subject | Analytic function | en_US |
| dc.title | On the <i>q</I>-moment Determinacy of Probability Distributions | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Ostrovska, Sofiya/0000-0003-1842-7953 | |
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| gdc.author.wosid | Turan, Mehmet/JYQ-4459-2024 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Ostrovska, Sofiya; Turan, Mehmet] Atilim Univ, Dept Math, TR-06836 Ankara, Incek, Turkey | en_US |
| gdc.description.endpage | 3896 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 3885 | en_US |
| gdc.description.volume | 43 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Probability (math.PR) | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | 60E05, 30E05, 05A30, 62E10 | |
| gdc.oaire.keywords | Mathematics - Probability | |
| gdc.oaire.keywords | \(q\)-density | |
| gdc.oaire.keywords | \(q\)-moment | |
| gdc.oaire.keywords | \(q\)-moment (in)determinacy | |
| gdc.oaire.keywords | Moment problems and interpolation problems in the complex plane | |
| gdc.oaire.keywords | analytic function | |
| gdc.oaire.keywords | \(q\)-calculus and related topics | |
| gdc.oaire.keywords | Characterization and structure theory of statistical distributions | |
| gdc.oaire.keywords | Probability distributions: general theory | |
| gdc.oaire.keywords | moment problem | |
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| gdc.virtual.author | Turan, Mehmet | |
| gdc.virtual.author | Ostrovska, Sofiya | |
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