Volume 59, Issue 333, September - December 2023

Modified Inverse Lomax Distribution: Model and properties

Lal Babu Sah Telee^1♦, Ram Suresh Yadav², Vijay Kumar²

¹Department of Management Science, Nepal Commerce Campus, Tribhuvan University, Kathmandu, Nepal
²Department of Mathematics and Statistics, DDU Gorakhpur University, Gorakhpur, India

^♦Corresponding author
Department of Management Science, Nepal Commerce Campus, Tribhuvan University, Kathmandu, Nepal

ABSTRACT

Here, a new distribution having three called Modified Inverse Lomax Distribution is proposed. Important statistical properties like the survival, hazard rate, the probability density function (PDF) is studied. Least Square, Cramer-Von Mises and Maximum Likelihood estimation methods are used for estimation of parameters using R programming software. A data set is discussed and performed the goodness-of-fit to assess the application of the proposed distribution. Various methods of model comparison and model validation are also used. The proposed model called Modified Inverse Lomax Distribution is more applicable as compared to some existing probability model.

Keywords: Lomax distribution, Estimation, Hazard function, Cramer-von Mises, maximum likelihood

Discovery, 2023, 59, e110d1352

PDF

DOI: https://doi.org/10.54905/disssi.v59i333.e110d1352

Published: 09 September 2023