On Quasi-Weibull Distribution

dc.contributor.author Ostrovska, Sofiya
dc.contributor.author Turan, Mehmet
dc.date.accessioned 2025-07-06T00:27:08Z
dc.date.available 2025-07-06T00:27:08Z
dc.date.issued 2025
dc.description.abstract Exponential distribution together with a variety of its transformations is permanently used both in probability theory and related fields. The most popular one is the power transformation yielding the Weibull distribution. In this paper, the power distribution of exponential random variable is supplemented by a logarithmic factor leading to a new distribution called quasi-Weibull. This is a three-parameter distribution, where one parameter is inherited from the underlying exponential distribution, and the others originate from the transformation. The properties of the quasi-Weibull distribution are studied. Specifically, the impact of the parameters on the analyticity of characteristic function, the existence of the moment generating function, the moment-determinacy/indeterminacy and the behaviour of the hazard function are investigated. en_US
dc.identifier.doi 10.18514/MMN.2025.4625
dc.identifier.issn 1787-2405
dc.identifier.issn 1787-2413
dc.identifier.scopus 2-s2.0-105008038281
dc.identifier.uri https://doi.org/10.18514/MMN.2025.4625
dc.identifier.uri https://hdl.handle.net/20.500.14411/10676
dc.language.iso en en_US
dc.publisher Univ Miskolc inst Math en_US
dc.relation.ispartof Miskolc Mathematical Notes en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Quasi-Weibull Distribution en_US
dc.subject Characteristic Function en_US
dc.subject Moment Problem en_US
dc.subject Hazard Function en_US
dc.title On Quasi-Weibull Distribution en_US
dc.type Article en_US
dspace.entity.type Publication
gdc.author.institutional Ostrovska, Sofiya
gdc.author.institutional Turan, Mehmet
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gdc.author.scopusid 35782583700
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-06830 Ankara, Turkiye en_US
gdc.description.endpage 435 en_US
gdc.description.issue 1 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q3
gdc.description.startpage 425 en_US
gdc.description.volume 26 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q2
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gdc.identifier.wos WOS:001545633100028
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gdc.oaire.keywords QA1-939
gdc.oaire.keywords Mathematics
gdc.oaire.keywords characteristic function
gdc.oaire.keywords quasi-Weibull distribution
gdc.oaire.keywords Moment problems
gdc.oaire.keywords Probability distributions: general theory
gdc.oaire.keywords moment problem
gdc.oaire.keywords hazard function
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gdc.virtual.author Ostrovska, Sofiya
gdc.virtual.author Turan, Mehmet
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