Logistic Chen Distribution with Properties and Applications

International Journal of Mathematics Trends and Technology (IJMTT)
© 2021 by IJMTT Journal
Volume-67 Issue-1
Year of Publication : 2021
Authors : Ramesh Kumar Joshi, Vijay Kumar


MLA Style: Ramesh Kumar Joshi, Vijay Kumar  "Logistic Chen Distribution with Properties and Applications" International Journal of Mathematics Trends and Technology 67.1 (2021):141-151. 

APA Style: Ramesh Kumar Joshi, Vijay Kumar(2021). Logistic Chen Distribution with Properties and Applications  International Journal of Mathematics Trends and Technology, 141-151.

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.


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