Statistical Characterization of the Neutrosophic Moyal Distribution

Abstract

The Moyal distribution is widely utilized in various fields due to its effectiveness in 
modeling heavy-tailed processes, such as ionization losses and certain risk assessments. In this 
work, we present a neutrosophic version of the Moyal distribution that extends the classical Moyal 
distribution while incorporating uncertainty and imprecision associated with its parameters. To 
better explore the neutrosophic structure, we provide the detailed derivation of some essential 
mathematical characteristics concerning all the properties that this distribution possesses. The 
proposed neutrosophic Moyal (NM) model is the one that allows it to work very well in situations 
where data is vague or undetermined. The proposed neutrosophic model can be effectively adopted 
when the Moyal distribution parameters are known and lie in the range or interval. We also develop 
the quantile function of the proposed model under an uncertain environment. A simulation study 
has been carried out to assess the adequacy of neutrosophic quantile function. Numerical results 
demonstrate that quantile function is quite efficient in terms of generating neutrosophic random 
data from the proposed model. 

DOI: 10.5281/zenodo.15080684