Half-Cauchy Generalized Exponential Distribution: Theory and Application

Authors

  • Arun Kumar Chaudhary Department of Management Science, Nepal Commerce Campus, Tribhuvan University, Nepal
  • Laxmi Prasad Sapkota Department of Statistics, Tribhuvan Multiple Campus, Tribhuvan University, Palpa, Nepal
  • Vijay Kumar Department of Mathematics and Statistics, DDU Gorakhpur University, Gorakhpur, India

DOI:

https://doi.org/10.3126/jnms.v5i2.50018

Keywords:

Estimation, Generalized exponential distribution, Half-Cauchy distribution, Quantile function, Hazard function

Abstract

Half-Cauchy generalized exponential (HCGE) distribution is a novel distribution that we have proposed on in this paper. The quantiles, the measures of skewness based on quartiles, and the measures of kurtosis based on octiles, survival function, the probability density function, hazard function, cumulative distribution function, cumulative hazard function, are just a few of the crucial statistical properties we have derived for the proposed distribution. To estimate the parameters of the half-Cauchy generalized exponential distribution, the maximum likelihood estimation method has been applied. For the evaluation of the new distribution’s potential, we have considered a real dataset and compared the goodness-of-fit attained by proposed distribution with some competing distribution. The suggested model fits the data much better and is more adaptable than some other models.

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Published

2022-12-20

How to Cite

Chaudhary, A. K., Sapkota, L. P., & Kumar, V. (2022). Half-Cauchy Generalized Exponential Distribution: Theory and Application. Journal of Nepal Mathematical Society, 5(2), 1–10. https://doi.org/10.3126/jnms.v5i2.50018

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Articles