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Abstract

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, Frechet, Pearson, Dagum, Lindley, Weibull and exponential distributions.

Keywords

Generated Family Lindley Distribution Maximum Likelihood Moment Quantile Function Entropy

Article Details

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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CC BY: This license allows reusers to distribute, remix, adapt, and build upon the material in any medium or format, so long as attribution is given to the creator. The license allows for commercial use.

 

Author Biography

Gamze Ozel, Department of Statistics Hacettepe University, Turkey

Hacettepe Universiety

How to Cite
Cakmakyapan, S., & Ozel, G. (2021). Generalized Lindley Family with application on Wind Speed Data. Pakistan Journal of Statistics and Operation Research, 17(2), 387-397. https://doi.org/10.18187/pjsor.v17i2.2518
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