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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Published in:arXiv.org 2021-02
Main Authors: Bapat, Sudeep R, Bhardwaj, Rohit
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Language:English
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Maximum likelihood estimation
Maximum likelihood method
Monte Carlo simulation
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description 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.
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subjects Maximum likelihood estimation
Maximum likelihood method
Monte Carlo simulation
title On an Inflated Unit-Lindley Distribution
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