Logistic Chen Distribution with Properties and
Applications

Ramesh Kumar Joshi; Vijay Kumar

doi:https://doi.org/10.14445/22315373/IJMTT-V67I1P519

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 1 | Year 2021 | Article Id. IJMTT-V67I1P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I1P519

Logistic Chen Distribution with Properties and Applications

Ramesh Kumar Joshi, Vijay Kumar

Citation :

Ramesh Kumar Joshi, Vijay Kumar, "Logistic Chen Distribution with Properties and Applications," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 1, pp. 141-151, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I1P519

Abstract

In this study, we have introduced a three-parameter univariate continuous distribution called Logistic Chen distribution. Some distributional properties of the distribution such as the shapes of the probability density, cumulative distribution and hazard rate functions, quantile function, survival function, the skewness, and kurtosis measures are derived and established. To estimate the model parameters, we have employed three well-known estimation methods namely maximum likelihood estimation (MLE), least-square estimation (LSE), and Cramer-Von-Mises estimation (CVME) methods. A real data set is considered to explore the applicability and capability of the proposed distribution also AIC, BIC, CAIC and HQIC are calculated to assess the potentiality of the Logistic Chen distribution.

Keywords

Chen distribution, CVME, Logistic distribution, LSE and MLE.

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