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Exponentiated Inverse Rayleigh Distribution and an Application to Coating Weights of Iron Sheets Data
Joint Authors
Rao, Gadde Srinivasa
Mbwambo, Sauda
Source
Journal of Probability and Statistics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-01
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This 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.
American Psychological Association (APA)
Rao, Gadde Srinivasa& Mbwambo, Sauda. 2019. Exponentiated Inverse Rayleigh Distribution and an Application to Coating Weights of Iron Sheets Data. Journal of Probability and Statistics،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1186865
Modern Language Association (MLA)
Rao, Gadde Srinivasa& Mbwambo, Sauda. Exponentiated Inverse Rayleigh Distribution and an Application to Coating Weights of Iron Sheets Data. Journal of Probability and Statistics No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1186865
American Medical Association (AMA)
Rao, Gadde Srinivasa& Mbwambo, Sauda. Exponentiated Inverse Rayleigh Distribution and an Application to Coating Weights of Iron Sheets Data. Journal of Probability and Statistics. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1186865
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186865