On an Inflated Unit-Lindley Distribution

Modeling fractional data in various real life scenarios is a challenging task. This paper consider situations where fractional data is observed on the interval [0,1]. The unit-Lindley distribution has been discussed in the literature where its support lies between 0 and 1. In this paper, we focus on...

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Bibliographic Details
Published in:arXiv.org 2021-02
Main Authors: Bapat, Sudeep R, Bhardwaj, Rohit
Format: Article
Language:English
Subjects:
Maximum likelihood estimation
Maximum likelihood method
Monte Carlo simulation
Online Access:Get full text
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Summary:Modeling fractional data in various real life scenarios is a challenging task. This paper consider situations where fractional data is observed on the interval [0,1]. The unit-Lindley distribution has been discussed in the literature where its support lies between 0 and 1. In this paper, we focus on an inflated variant of the unit-Lindley distribution, where the inflation occurs at both 0 and 1. Various properties of the inflated unit-Lindley distribution are discussed and examined, including point estimation based on the maximum likelihood method and interval estimation. Finally, extensive Monte Carlo simulation and real-data analyses are carried out to compare the fit of our proposed distribution along with some of the existing ones such as the inflated beta and the inflated Kumaraswamy distributions.
ISSN:2331-8422