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Mixture of Inverse Weibull and Lognormal Distributions: Properties, Estimation, and Illustration
Joint Authors
Sultan, K. S.
Al-Moisheer, A. S.
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-05
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We discuss the two-component mixture of the inverse Weibull and lognormal distributions (MIWLND) as a lifetime model.
First, we discuss the properties of the proposed model including the reliability and hazard functions.
Next, we discuss the estimation of model parameters by using the maximum likelihood method (MLEs).
We also derive expressions for the elements of the Fisher information matrix.
Next, we demonstrate the usefulness of the proposed model by fitting it to a real data set.
Finally, we draw some concluding remarks.
American Psychological Association (APA)
Sultan, K. S.& Al-Moisheer, A. S.. 2015. Mixture of Inverse Weibull and Lognormal Distributions: Properties, Estimation, and Illustration. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074050
Modern Language Association (MLA)
Sultan, K. S.& Al-Moisheer, A. S.. Mixture of Inverse Weibull and Lognormal Distributions: Properties, Estimation, and Illustration. Mathematical Problems in Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1074050
American Medical Association (AMA)
Sultan, K. S.& Al-Moisheer, A. S.. Mixture of Inverse Weibull and Lognormal Distributions: Properties, Estimation, and Illustration. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074050
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074050