This article was originally published here
PLoS One. 2022 Jun 3;17(6):e0269450. doi: 10.1371/journal.pone.0269450. eCollection 2022.
This study suggested a new four-parameter Exponentiated Odd Lomax Exponential (EOLE) distribution by combining an exponential odd function with the Lomax distribution as the generator. The proposed model is unimodal and positively biased while the hazard rate function is monotonically increasing and inverted. Some important properties of the new distribution are derived such as the quintile function and the median; asymptotic properties and mode; moments; average remaining life, average travel time; medium difference ; order statistics; and Bonferroni & Lorenz curve. The value of the parameters is obtained using maximum likelihood, least squares and Cramér-Von-Mises estimation methods. Here, a simulation study and two sets of real data, “the number of deaths per day from COVID-19 of the first wave in Nepal” and “breaking stresses (in Gpa) of single carbon fibers of lengths 50 mm”, were applied to validate the different theoretical results. The finding of a COVID-19 death order in 153 days in Nepal obeys the proposed distribution, it has a significantly positive relationship between the predicted rate of positive test and the predicted number of deaths per day. Therefore, the predicted model is an alternative model for survival data and lifespan data analysis.