@inproceedings{ca2092c4c07f455d96d5c4a5f49aec62,

title = "Extended Inverse Lindley distribution",

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.",

keywords = "Hazard rate, heavy-tailed, power transformation, survival data, upside-down bathtub",

author = "Maharani, {V. D.} and D. Lestari and S. Devila",

note = "Publisher Copyright: {\textcopyright} 2021 Author(s).; 6th International Symposium on Current Progress in Mathematics and Sciences 2020, ISCPMS 2020 ; Conference date: 27-10-2020 Through 28-10-2020",

year = "2021",

month = jul,

day = "23",

doi = "10.1063/5.0059263",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Ivandini, {Tribidasari A.} and Churchill, {David G.} and Youngil Lee and Alias, {Yatimah Binti} and Chris Margules",

booktitle = "Proceedings of the 6th International Symposium on Current Progress in Mathematics and Sciences 2020, ISCPMS 2020",

}