Statistical Development of the Neutrosophic Lognormal Model with Application to Environmental Data

Abstract

The identification of an appropriate probability model is always essential in environmental data analysis. This work presents the notion of the neutrosophic lognormal distribution (NLD) and its application to environmental data. The general structure for the density function of the NLD and its usefulness has been provided. Some more critical distributional properties such as moments, skewness and kurtosis coefficients have been derived. A methodology of estimating the distributional parameters under the neutrosophic environment is developed. The simulation study is conducted to validate the derived results for the proposed model. In the application part, a real dataset on Nitrogen oxides emissions has been analyzed using NLD to highlight the practical significance of the proposed model.

Keywords

• neutrosophic probability model
• uncertainty; lognormal model
• estimation
• simulation