The Proposal of Gamma Folded-Normal Distribution
| dc.contributor.author | Altinisik, Yasin | |
| dc.contributor.author | Ceylan, Tahir | |
| dc.contributor.author | Cankaya, Emel | |
| dc.date.accessioned | 2025-03-23T19:09:26Z | |
| dc.date.available | 2025-03-23T19:09:26Z | |
| dc.date.issued | 2022 | |
| dc.department | Sinop Üniversitesi | |
| dc.description.abstract | Development of new flexible distributions for modeling non-negative measurements occuring in lifetime or reliability studies is a prominent research area in Statistics. As being the most favoured positive definite form, the Gamma distribution poses a basis for such improvements. It is well known that transforming a Gamma variable with another continuous random variable (X) creates Gamma-X family of distributions. Following this principle, we here attempted to define the X variable as Folded-Normal distributed which is also positive definite so as to propose a new family of distributions. Named as Gamma Folded-Normal distribution (GFN), our proposal is a generalization of Gamma Half-Normal distribution and contains more freely estimated parameters. This study evaluates some mathematical properties of GFN distribution such as moments and illustrates the estimation procedure for unknown parameters through a simulation study. A separate simulation is also conducted to compare the performance of this new distribution with the Folded-Normal, Half-Normal and Gamma Half-Normal distributions. Besides, the practical importance of our new proposal is illustrated by analyzing a real world data set. | |
| dc.identifier.doi | 10.33484/sinopfbd.1164454 | |
| dc.identifier.endpage | 131 | |
| dc.identifier.issn | 2536-4383 | |
| dc.identifier.issn | 2564-7873 | |
| dc.identifier.issue | 2 | |
| dc.identifier.startpage | 116 | |
| dc.identifier.trdizinid | 1145907 | |
| dc.identifier.uri | https://doi.org/10.33484/sinopfbd.1164454 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/tr/yayin/detay/1145907 | |
| dc.identifier.uri | https://hdl.handle.net/11486/3354 | |
| dc.identifier.volume | 7 | |
| dc.indekslendigikaynak | TR-Dizin | |
| dc.language.iso | en | |
| dc.relation.ispartof | Sinop Üniversitesi fen bilimleri dergisi | |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_TR_20250323 | |
| dc.subject | Kimya | |
| dc.subject | Analitik | |
| dc.subject | Matematik | |
| dc.subject | Spektroskopi | |
| dc.subject | Kimya | |
| dc.subject | Organik | |
| dc.subject | Kimya | |
| dc.subject | İnorganik ve Nükleer | |
| dc.subject | İstatistik ve Olasılık | |
| dc.title | The Proposal of Gamma Folded-Normal Distribution | |
| dc.type | Article |
