Exponential Chen Distribution with Applications

  • ARUN KUMAR CHAUDHARY Nepal Commerce Campus Tribhuvan University, Kathmandu, Nepal
  • Shankar Kumar Shrestha Public Youth Campus Tribhuvan University, Kathmandu, Nepal
Keywords: Exponential distribution, Chen distribution, MLE, LSE and CVME. 2010 AMS Subject Classication : 62F15, 65C05.

Abstract

We have proposed a new probability distribution named Exponential Chen
distribution. Some properties of new model are illustrated like the survival func-
tion, hazard rate function (HRF), cumulative hazard function, quantile function,
the skewness, and kurtosis. The parameters of the exponential Chen distribution
are estimated by using the maximum likelihood estimation (MLE), Cramer-Von-
Mises (CVM) and least-square estimation (LSE) methods. Also we have devel-
oped asymptotic condence interval based on maximum likelihood. A real data
set is used to illustrate the applicability of the proposed model.

Published
2022-11-08

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