WEIBULL INVERSE EXPONENTIAL DISTRIBUTION: THEORY AND APPLICATIONS

  • RAMESH KUMAR JOSHI Trichandra Multiple Campus Tribhuvan University, Kathmandu, Nepal
  • Shankar Kumar Shrestha Public Youth Campus Tribhuvan University, Kathmandu, Nepal
Keywords: Weibull inverse exponential, MLE, LSE and CVME.

Abstract

In this study, we have established a new distribution by using the Weibull
generating family with baseline distribution as inverse exponential distribution
called Weibull inverse exponential distribution. Some mathematical and statistical
properties of the proposed distribution are discussed, including the shapes
of the probability density function (PDF), cumulative density function (CDF)
and hazard rate function (HRF), quantile function and the skewness, and kurtosis.
We have discussed the maximum likelihood estimation method to estimate
the parameters of the purposed distribution and also constructed the asymptotic
confidence intervals based on maximum likelihood. All the computations have
been performed in R software. The application of the proposed model has been
illustrated considering two real data sets and investigated the goodness of fit attained
by the observed model via different test statistics and graphical methods.
We have found that the proposed distribution provided a better fit and more
flexible in comparison with some other lifetime distributions.

Published
2022-11-08
Issue
Vol 31 No 01 (2017): JOURNAL OF NATIONAL ACADEMY OF MATHEMATICS INDIA
Section
Articles

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