ARCTAN GENERALIZED INVERTED EXPONENTIAL DISTRIBUTION: PROPERTIES AND APPLICATIONS

  • Ram Suresh Yadav Department of Mathematics & Statistics DDU Gorakhpur University, Gorakhpur
  • Vijay Kumar Department of Mathematics & Statistics DDU Gorakhpur University, Gorakhpur
Keywords: Arctan distribution, Generalized Inverted exponential, Estimation.

Abstract

In this paper, a three-parameter new distribution called arctan generalized inverted exponential distribution is presented. Some mathematical properties of the distribution such as the shapes of the cumulative density, probability density, probability density, and hazard rate functions, survival function, quantile function, the kurtosis and skewness measures are established. To estimate the model parameters, we have employed three well-known estimation methods namely least-square estimation (LSE), maximum likelihood estimation (MLE), and Cramer-Von-Mises (CVM) methods. For the illustration purposes we have considered the two real data sets and goodness-of-fit statistics AIC, BIC, AICC and HQIC are calculated. It is found that the new distribution performs better
as compared to some existing distribution.

Published
2020-11-08
Issue
Vol 34 No 01 (2020): JOURNAL OF NATIONAL ACADEMY OF MATHEMATICS INDIA
Section
Articles

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