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

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...

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Bibliographic Details
Published inCommunications in statistics. Theory and methods Vol. 48; no. 14; pp. 3643 - 3662
Main Authors Sharma, Dreamlee, Chakrabarty, Tapan Kumar
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 18.07.2019
Taylor & Francis Ltd
Subjects
Asymptotic variance
Computer simulation
Covariance matrix
Economic models
Estimating techniques
flattened logistic distribution
L-moment
Matching
order statistic
Parameter estimation
quantile function
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Summary: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.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2018.1481966