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

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  • Dreamlee Sharma
  • Tapan Kumar Chakrabarty

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.

Suggested Citation

  • Dreamlee Sharma & Tapan Kumar Chakrabarty, 2019. "The quantile-based flattened logistic distribution: Some properties and applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(14), pages 3643-3662, July.
    • Handle: RePEc:taf:lstaxx:v:48:y:2019:i:14:p:3643-3662
    DOI: 10.1080/03610926.2018.1481966
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    Cited by:

    1. Tapan Kumar Chakrabarty & Dreamlee Sharma, 2021. "A Generalization of the Quantile-Based Flattened Logistic Distribution," Annals of Data Science, Springer, vol. 8(3), pages 603-627, September.

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