The quantile-based flattened logistic distribution: Some properties and applications |
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Authors: | Dreamlee Sharma Tapan Kumar Chakrabarty |
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Institution: | Department of Statistics, North-Eastern Hill University, Shillong, Meghalaya, India |
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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. |
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Keywords: | Asymptotic variance flattened logistic distribution L-moment order statistic quantile function |
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