Extended Inverse Lindley distribution

V. D. Maharani, D. Lestari, S. Devila

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

Abstract

Modeling survival data depends on the shape of the hazard rate. In this paper, a distribution called the Extended Inverse Lindley distribution, will be introduced. Extended Inverse Lindley distribution is a distribution that is formed from the transformation of the two-parameter Lindley distribution. The transformations used are power transformation and inverse transformation. Thus, the Extended Inverse Lindley distribution can model heavy-tailed data with an upside-down bathtub hazard rate. In this essay, we discuss how to construct Extended Inverse Lindley distribution and characteristics of these distributions. These include the probability density function, cumulative distribution function, survival function, hazard rate, r-th moment, and mode. The parameters of the Extended Inverse Lindley distribution were estimated using the maximum likelihood method. At the end of this paper, the Extended Inverse Lindley distribution is used to illustrate the repairing time data (in hours) for 46 failures of an airborne communications receiver and shown that the Extended Inverse Lindley distribution is more suitable for modeling data than other distributions.

Original languageEnglish
Title of host publicationProceedings of the 6th International Symposium on Current Progress in Mathematics and Sciences 2020, ISCPMS 2020
EditorsTribidasari A. Ivandini, David G. Churchill, Youngil Lee, Yatimah Binti Alias, Chris Margules
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735441132
DOIs
Publication statusPublished - 23 Jul 2021
Event6th International Symposium on Current Progress in Mathematics and Sciences 2020, ISCPMS 2020 - Depok, Indonesia
Duration: 27 Oct 202028 Oct 2020

Publication series

NameAIP Conference Proceedings
Volume2374
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference6th International Symposium on Current Progress in Mathematics and Sciences 2020, ISCPMS 2020
Country/TerritoryIndonesia
CityDepok
Period27/10/2028/10/20

Keywords

  • Hazard rate
  • heavy-tailed
  • power transformation
  • survival data
  • upside-down bathtub

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