Analytical Modeling of Expansion for Odd Lomax Generalized Exponential Distribution in Framework of Neutrosophic Logic: a Theoretical and Applied on Neutrosophic Data

Abstract

This study aims to extend the Odd Lomax Generalized Exponential (OLGE) distribution to include neutrosophic data, which are generalized by uncertainty and ambiguity. It's done formulate a new probabilistic model based on combining Neutrosophic Logic (NL) with Odd Lomax Generalized Exponential to improve the model's flexibility in dealing with data with uncertain and contradictory shapes. The density function and probability distribution of the proposed neutrosophic model are defined, and some mathematical properties are derived as neutrosophic survival, neutrosophic hazard, Incomplete Moments, and Neutrosophic Quantile. In addition, we present new method for parameter estimation using neutrosophic simulation for three techniques (MLE, LSE, WLSE), and compare the model's performance with other model using information criteria and statistical measures. The model is applied to a real neutrosophic data set characterized by uncertainty (the life in 100 hours of 23 batteries), demonstrating its efficiency in analyzing ambiguous data when compared to other neutrosophic distributions.