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The Generalized Odd Lindley-G Family: Properties and Applications Anais da ABC (AABC)
AFIFY,AHMED Z.; CORDEIRO,GAUSS M.; MAED,MOHAMED E.; ALIZADEH,MORAD; AL-MOFLEH,HAZEM; NOFAL,ZOHDY M..
Abstract: We introduce a new class of continuous distributions called the generalized odd Lindley-G family. Four special models of the new family are provided. Some explicit expressions for the quantile and generating functions, ordinary and incomplete moments, order statistics and Rényi and Shannon entropies are derived. The maximum likelihood method is used for estimating the model parameters. The flexibility of the generated family is illustrated by means of two applications to real data sets.
Tipo: Info:eu-repo/semantics/article Palavras-chave: Generating function; Lindley distribution; Maximum likelihood; Order statistic; T-X family.
Ano: 2019 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652019000500201
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The Lindley Weibull Distribution: properties and applications Anais da ABC (AABC)
CORDEIRO,GAUSS M.; AFIFY,AHMED Z.; YOUSOF,HAITHAM M.; CAKMAKYAPAN,SELEN; OZEL,GAMZE.
Abstract We introduce a new three-parameter lifetime model called the Lindley Weibull distribution, which accommodates unimodal and bathtub, and a broad variety of monotone failure rates. We provide a comprehensive account of some of its mathematical properties including ordinary and incomplete moments, quantile and generating functions and order statistics. The new density function can be expressed as a linear combination of exponentiated Weibull densities. The maximum likelihood method is used to estimate the model parameters. We present simulation results to assess the performance of the maximum likelihood estimation. We prove empirically the importance and flexibility of the new distribution in modeling two data sets.
Tipo: Info:eu-repo/semantics/article Palavras-chave: Lindley G-Family; Maximum likelihood; Moments; Order statistics.
Ano: 2018 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652018000602579
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