Generalized Lindley Family with application on Wind Speed Data

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ÇAKMAKYAPAN ERGÜLER S., ÖZEL KADILAR G.

PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, vol.17, no.2, pp.387-397, 2021 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 2
  • Publication Date: 2021
  • Doi Number: 10.18187/pjsor.v17i2.2518
  • Journal Name: PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.387-397
  • Keywords: Generated Family, Lindley Distribution, Maximum Likelihood, Moment, Quantile Function, Entropy, DISTRIBUTIONS
  • Hacettepe University Affiliated: Yes

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.