Published November 30, 2020 | Version v1
Journal article Open

New Lindley Half Cauchy Distribution: Theory and Applications

  • 1. Associate Professor, Department of Management Science, Nepal Commerce Campus, Tribhuwan University, Nepal,
  • 2. Department of Mathematics and Statistics, DDU Gorakhpur University, Gorakhpur, India.
  • 1. Publisher


In this paper, we have defined a new two-parameter new Lindley half Cauchy (NLHC) distribution using Lindley-G family of distribution which accommodates increasing, decreasing and a variety of monotone failure rates. The statistical properties of the proposed distribution such as probability density function, cumulative distribution function, quantile, the measure of skewness and kurtosis are presented. We have briefly described the three well-known estimation methods namely maximum likelihood estimators (MLE), least-square (LSE) and Cramer-Von-Mises (CVM) methods. All the computations are performed in R software. By using the maximum likelihood method, we have constructed the asymptotic confidence interval for the model parameters. We verify empirically the potentiality of the new distribution in modeling a real data set.



Files (499.2 kB)

Name Size Download all
499.2 kB Preview Download

Additional details

Related works

Is cited by
Journal article: 2277-3878 (ISSN)


Retrieval Number