Generalized Lindley Family with application on Wind Speed Data

In this study we introduce a new extended class of continuous distributions named generalized Lindley family of distributions. Some properties of the new generator, including ordinary moments, quantile, generating and entropy functions, which hold for any baseline model, are presented. The method of...

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Bibliographic Details
Published in:Pakistan journal of statistics and operation research 2021-04, Vol.17 (2), p.387-397
Main Authors: Çakmakyapan, Selen, Özel, Gamze
Format: Article
Language:English
Subjects:
Entropy
Flexibility
Random variables
Wind speed
Online Access:Get full text
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Summary:In this study we introduce a new extended class of continuous distributions named generalized Lindley family of distributions. Some properties of the new generator, including ordinary moments, quantile, generating and entropy functions, which hold for any baseline model, are presented. The method of maximum likelihood is used for estimating the model parameters. The flexibility of the new family of distributions is shown via an application on the wind speed data set. The results shows that the proposed family is better than well-known distributions including log-logistic. Burr, Dagum, Frédiét, Pearson, Dagmn, Lindley, Weibull and exponential distributions.
ISSN:1816-2711
2220-5810
DOI:10.18187/pjsor.vl712.2518