Marshall-Olkin extended inverse power Lindley distribution with applications

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Citations (Scopus)

Abstract

The Lindley distribution was introduced by Lindley in the context of Bayes inference.1 Its density function is obtained by mixing the exponential distribution, with scale parameter β, and the gamma distribution, with shape parameter 2 and scale parameter β. Recently, a new generalization of the Lindley distribution was proposed by Barco et al., called the inverse power Lindley distribution. 2 This paper will introduce an extension of the inverse power Lindley distribution using the Marshall-Olkin method, resulting in the Marshall-Olkin Extended Inverse Power Lindley (MOEIPL) distribution. The MOEIPL distribution offers a flexibility in representing data with various shapes. This flexibility is due to the addition of a tilt parameter to the inverse power Lindley distribution. Some properties of the MOEIPL are explored, such as its probability density function, cumulative distribution function, hazard rate, survival function, and quantiles. Estimation of the MOEIPL parameters was conducted using maximum likelihood method. The proposed distribution was applied to model the wind speed in Demak, Indonesia. The results illustrate the MOEIPL distribution and arre compared to Lindley, power Lindley, inverse Lindley, inverse power Lindley, gamma, and Weibull. Model comparison using the AIC shows that MOEIPL fits the data better than the other distributions.

Original languageEnglish
Title of host publication8th Annual Basic Science International Conference
Subtitle of host publicationCoverage of Basic Sciences toward the World's Sustainability Challenges
EditorsCorina Karim, Rodliyati Azrianingsih, Mauludi Ariesto Pamungkas, Yoga Dwi Jatmiko, Anna Safitri
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735417397
DOIs
Publication statusPublished - 17 Oct 2018
Event8th Annual Basic Science International Conference: Coverage of Basic Sciences toward the World's Sustainability Challanges, BaSIC 2018 - Malang, East Java, Indonesia
Duration: 6 Mar 20187 Mar 2018

Publication series

NameAIP Conference Proceedings
Volume2021
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference8th Annual Basic Science International Conference: Coverage of Basic Sciences toward the World's Sustainability Challanges, BaSIC 2018
Country/TerritoryIndonesia
CityMalang, East Java
Period6/03/187/03/18

Keywords

  • Lindley distribution
  • Marshall-Olkin method
  • flexibility
  • inverse power

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