Constructing Stieltjes Classes for M-Indeterminate Absolutely Continuous Probability Distributions
| dc.authorscopusid | 35610828900 | |
| dc.authorwosid | Ostrovska, Sofiya/AAA-2156-2020 | |
| dc.contributor.author | Ostrovska, Sofiya | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-10-06T10:59:53Z | |
| dc.date.available | 2024-10-06T10:59:53Z | |
| dc.date.issued | 2014 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| dc.description.abstract | If P is a moment-indeterminate probability distribution, then it is desirable to present explicitly other distributions possessing the same moments as P. In this paper, a method to construct an infinite family of probability densities - called the Stieltjes class - all with the same moments is presented. The method is applicable for densities with support (0, infinity) which satisfy the lower bound: f(x) >= A exp{-ax(alpha)} for some A > 0, a > 0 and some alpha is an element of(0, 1/2): | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.citationcount | 2 | |
| dc.identifier.endpage | 258 | en_US |
| dc.identifier.issn | 1980-0436 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-85010908070 | |
| dc.identifier.scopusquality | Q4 | |
| dc.identifier.startpage | 253 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/9046 | |
| dc.identifier.volume | 11 | en_US |
| dc.identifier.wos | WOS:000348190500009 | |
| dc.identifier.wosquality | Q4 | |
| dc.institutionauthor | Ostrovska, Sofiya | |
| dc.institutionauthor | Ostrovska, Sofiya | |
| dc.language.iso | en | en_US |
| dc.publisher | Impa | en_US |
| dc.relation.ispartof | Alea | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.scopus.citedbyCount | 4 | |
| dc.subject | moment problem | en_US |
| dc.subject | M-indeterminate distribution | en_US |
| dc.subject | Stieltjes class | en_US |
| dc.title | Constructing Stieltjes Classes for M-Indeterminate Absolutely Continuous Probability Distributions | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 2 | |
| dspace.entity.type | Publication | |
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