Exponentiated inverse Rayleigh distribution and an application to coating weights of iron sheets data

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dc.creatorRao, Gadde Srinivasa
dc.creatorMbwambo, Sauda
dc.date2020-11-25T07:45:44Z
dc.date2020-11-25T07:45:44Z
dc.date2019
dc.date.accessioned2022-10-20T13:25:32Z
dc.date.available2022-10-20T13:25:32Z
dc.descriptionFull text article. Also available at https://doi.org/10.1155/2019/7519429
dc.descriptionThis article aims to introduce a generalization of the inverse Rayleigh distribution known as exponentiated inverse Rayleigh distribution (EIRD) which extends a more flexible distribution for modeling life data. Some statistical properties of the EIRD are investigated, such as mode, quantiles, moments, reliability, and hazard function. We describe different methods of parametric estimations of EIRD discussed by using maximum likelihood estimators, percentile based estimators, least squares estimators, and weighted least squares estimators and compare those estimates using extensive numerical simulations. The performances of the proposed methods of estimation are compared by Monte Carlo simulations for both small and large samples. To illustrate these methods in a practical application, a data analysis of real-world coating weights of iron sheets is obtained from the ALAF industry, Tanzania, during January-March, 2018. ALAF industry uses aluminum-zinc galvanization technology in the coating process. This application identifies the EIRD as a better model than other well-known distributions in modeling lifetime data.
dc.identifierRao, G. S., & Mbwambo, S. (2019). Exponentiated inverse Rayleigh distribution and an application to coating weights of iron sheets data. Journal of Probability and Statistics, 2019.
dc.identifierDOI: 10.1155/2019/7519429
dc.identifierhttp://hdl.handle.net/20.500.12661/2602
dc.identifier.urihttp://hdl.handle.net/20.500.12661/2602
dc.languageen
dc.publisherHindawi Publishing Corporation
dc.subjectExponentiated Inverse Rayleigh Distribution
dc.subjectEIRD
dc.subjectIron Sheets Data
dc.subjectRayleigh distribution
dc.subjectCoating Weights
dc.subjectCoating weights application
dc.subjectMonte Carlo simulations
dc.titleExponentiated inverse Rayleigh distribution and an application to coating weights of iron sheets data
dc.typeArticle

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