Logistic Inverse Exponential Distribution
with Properties and Applications

Arun Kumar Chaudhary; Vijay KumaR

doi:https://doi.org/10.14445/22315373/IJMTT-V66I10P518

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 10 | Year 2020 | Article Id. IJMTT-V66I10P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I10P518

Logistic Inverse Exponential Distribution with Properties and Applications

Arun Kumar Chaudhary, Vijay KumaR

Abstract

In this study, we have introduced a two-parameter univariate continuous distribution called Logistic inverse exponential distribution. Some mathematical and statistical properties of the distribution such as the shapes of the probability density, cumulative distribution and hazard rate functions, survival function, quantile 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 validity of the Logistic inverse exponential distribution.

Keywords

Cramer-Von-Mises estimation, Exponential distribution, Least-square estimation, Logistic distribution,Maximum likelihood estimation.

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Citation :

Arun Kumar Chaudhary, Vijay KumaR, "Logistic Inverse Exponential Distribution with Properties and Applications," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 10, pp. 151-162, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I10P518