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...
Saved in:
| Main Authors: | , , |
|---|---|
| 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 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550073825755136 |
|---|---|
| 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 1687-9538 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| 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 |