Modified Slash Lindley Distribution

In this paper we introduce a new distribution, called the modified slash Lindley distribution, which can be seen as an extension of the Lindley distribution. We show that this new distribution provides more flexibility in terms of kurtosis and skewness than the Lindley distribution. We derive moment...

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Main Authors: Jimmy Reyes, Osvaldo Venegas, Héctor W. Gómez
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2017/6303462
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author Jimmy Reyes
Osvaldo Venegas
Héctor W. Gómez
author_facet Jimmy Reyes
Osvaldo Venegas
Héctor W. Gómez
author_sort Jimmy Reyes
collection DOAJ
description In this paper we introduce a new distribution, called the modified slash Lindley distribution, which can be seen as an extension of the Lindley distribution. We show that this new distribution provides more flexibility in terms of kurtosis and skewness than the Lindley distribution. We derive moments and some basic properties for the new distribution. Moment estimators and maximum likelihood estimators are calculated using numerical procedures. We carry out a simulation study for the maximum likelihood estimators. A fit of the proposed model indicates good performance when compared with other less flexible models.
format Article
id doaj-art-68c4ef43a82c4ac9bf79919e7c49333f
institution Kabale University
issn 1687-952X
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language English
publishDate 2017-01-01
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series Journal of Probability and Statistics
spelling doaj-art-68c4ef43a82c4ac9bf79919e7c49333f2025-02-03T06:07:45ZengWileyJournal of Probability and Statistics1687-952X1687-95382017-01-01201710.1155/2017/63034626303462Modified Slash Lindley DistributionJimmy Reyes0Osvaldo Venegas1Héctor W. Gómez2Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta, ChileDepartamento de Ciencias Matemáticas y Físicas, Facultad de Ingeniería, Universidad Católica de Temuco, Temuco, ChileDepartamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta, ChileIn this paper we introduce a new distribution, called the modified slash Lindley distribution, which can be seen as an extension of the Lindley distribution. We show that this new distribution provides more flexibility in terms of kurtosis and skewness than the Lindley distribution. We derive moments and some basic properties for the new distribution. Moment estimators and maximum likelihood estimators are calculated using numerical procedures. We carry out a simulation study for the maximum likelihood estimators. A fit of the proposed model indicates good performance when compared with other less flexible models.http://dx.doi.org/10.1155/2017/6303462
spellingShingle Jimmy Reyes
Osvaldo Venegas
Héctor W. Gómez
Modified Slash Lindley Distribution
Journal of Probability and Statistics
title Modified Slash Lindley Distribution
title_full Modified Slash Lindley Distribution
title_fullStr Modified Slash Lindley Distribution
title_full_unstemmed Modified Slash Lindley Distribution
title_short Modified Slash Lindley Distribution
title_sort modified slash lindley distribution
url http://dx.doi.org/10.1155/2017/6303462
work_keys_str_mv AT jimmyreyes modifiedslashlindleydistribution
AT osvaldovenegas modifiedslashlindleydistribution
AT hectorwgomez modifiedslashlindleydistribution