Statistical Inference for Geometric Process with the Power Lindley Distribution

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dc.contributor.authorBicer, Cenker
dc.date.accessioned2020-06-25T18:29:23Z
dc.date.available2020-06-25T18:29:23Z
dc.date.issued2018
dc.departmentKırıkkale Üniversitesi
dc.description.abstractThe geometric process (GP) is a simple and direct approach to modeling of the successive inter-arrival time data set with a monotonic trend. In addition, it is a quite important alternative to the non-homogeneous Poisson process. In the present paper, the parameter estimation problem for GP is considered, when the distribution of the first occurrence time is Power Lindley with parameters alpha and lambda. To overcome the parameter estimation problem for GP, the maximum likelihood, modified moments, modified L-moments and modified least-squares estimators are obtained for parameters a, alpha and lambda. The mean, bias and mean squared error (MSE) values associated with these estimators are evaluated for small, moderate and large sample sizes by using Monte Carlo simulations. Furthermore, two illustrative examples using real data sets are presented in the paper.en_US
dc.identifier.citationBicer C. Statistical Inference for Geometric Process with the Power Lindley Distribution. Entropy. 2018; 20(10):723.en_US
dc.identifier.doi10.3390/e20100723
dc.identifier.issn1099-4300
dc.identifier.issue10en_US
dc.identifier.pmid33265812
dc.identifier.scopus2-s2.0-85055702866
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/e20100723
dc.identifier.urihttps://hdl.handle.net/20.500.12587/7288
dc.identifier.volume20en_US
dc.identifier.wosWOS:000448545700004
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakPubMed
dc.language.isoen
dc.publisherMdpien_US
dc.relation.ispartofEntropy
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectgeometric processen_US
dc.subjectmaximum likelihood estimateen_US
dc.subjectmodified moment estimateen_US
dc.subjectmodified L-moment estimateen_US
dc.subjectmodified least-square estimateen_US
dc.titleStatistical Inference for Geometric Process with the Power Lindley Distributionen_US
dc.typeArticle

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