The quantile-based flattened logistic distribution: Some properties and applications

Dreamlee Sharma and Tapan Kumar Chakrabarty

Communications in Statistics - Theory and Methods, 2019, vol. 48, issue 14, 3643-3662

Abstract: In this paper, the quantile-based flattened logistic distribution has been studied. Some classical and quantile-based properties of the distribution have been obtained. Closed form expressions of L-moments, L-moment ratios and expectation of order statistics of the distribution have been obtained. A quantile-based analysis concerning the method of matching L-moments estimation is employed to estimate the parameters of the proposed model. We further derive the asymptotic variance–covariance matrix of the matching L-Moments estimators of the proposed model. Finally, we apply the proposed model to simulated as well as two real life datasets and compare the fit with the logistic distribution.

Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:48:y:2019:i:14:p:3643-3662

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DOI: 10.1080/03610926.2018.1481966

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