Lindley Generalized Inverted Exponential Distribution: Model and Applications

Authors

  • Lal Babu Sah Telee Department of Statistics, Nepal Commerce Campus, Kathmandu, Nepal
  • Vijay Kumar Department of mathematics and statistics, DDU Gorakhpur University, Gorakhpur, India

DOI:

https://doi.org/10.3126/pravaha.v27i1.50616

Keywords:

Maximum likelihood estimation, Generalized Inverted Exponential distribution, Estimation, Hazard function, TTT plot

Abstract

In this article, we have proposed three parameters distribution using lindley family of distribution and Generalized inverted Exponential distribution called Lindley Generalized Inverted Exponential Distribution: Model and Applications(LGIE). The statistical properties as well as different characteristics like the hazard rate function (HRF), the probability density function (PDF), the cumulative distribution function (CDF), quantile function , skewness, and kurtosis of the proposed distribution are discussed. The parameters of the proposed distribution are estimated by using the maximum likelihood estimation (MLE), least-square estimation (LSE) and Cramer-Von-Mises (CVM) methods. All the computations are performed in R programming software. To assess the application of the proposed distribution, a real lifetime data set is analyzed and performed the goodness-of-fit.

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Published

2021-12-31

How to Cite

Telee, L. B. S., & Kumar, V. (2021). Lindley Generalized Inverted Exponential Distribution: Model and Applications. Pravaha, 27(1), 61–72. https://doi.org/10.3126/pravaha.v27i1.50616

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Section

Articles