Generalized Weibull–Lindley (GWL) Distribution in Modeling Lifetime Data
Joint Authors
Marthin, Pius
Rao, Gadde Srinivasa
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-31
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this manuscript, we have derived a new lifetime distribution named generalized Weibull–Lindley (GWL) distribution based on the T-X family of distribution specifically the generalized Weibull-X family of distribution.
We derived and investigated the shapes of its probability density function (pdf), hazard rate function, and survival function.
Some statistical properties such as quantile function, mode, median, order statistics, Shannon entropy, Galton skewness, and Moors kurtosis have been derived.
Parameter estimation was done through maximum likelihood estimation (MLE) method.
Monte Carlo simulation was conducted to check the performance of the parameter estimates.
For the inference purpose, two real-life datasets were applied and generalized Weibull–Lindley (GWL) distribution appeared to be superior over its competitors including Lindley distribution, Akash distribution, new Weibull-F distribution, Weibull–Lindley (WL) distribution, and two-parameter Lindley (TPL) distribution.
American Psychological Association (APA)
Marthin, Pius& Rao, Gadde Srinivasa. 2020. Generalized Weibull–Lindley (GWL) Distribution in Modeling Lifetime Data. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1188002
Modern Language Association (MLA)
Marthin, Pius& Rao, Gadde Srinivasa. Generalized Weibull–Lindley (GWL) Distribution in Modeling Lifetime Data. Journal of Mathematics No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1188002
American Medical Association (AMA)
Marthin, Pius& Rao, Gadde Srinivasa. Generalized Weibull–Lindley (GWL) Distribution in Modeling Lifetime Data. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1188002
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188002