Neutrosophic DUS Exponential Distribution

Megha.C.M; Divya.P.R; Sajesh.T.A

Authors

Megha.C.M Department of Statistics, St Thomas College (Autonomous), Thrissur;
Divya.P.R Department of Statistics, Vimala College (Autonomous), Thrissur;
Sajesh.T.A Department of Statistics, St Thomas College (Autonomous), Thrissur;

Keywords:

Neutrosophy; DUS transformation; Probability distribution; Exponential distribution

Abstract

The exponential distribution is a widely used lifetime model with
applications spanning numerous disciplines. The DUS transformation extends the
applicability of the exponential distribution by improving its flexibility for diverse
real-world scenarios. This study proposes the Neutrosophic DUS Exponential
Distribution (NDUS-ED), an extension of the DUS Exponential Distribution,
designed to effectively address and quantify uncertainty, inconsistency, and
indeterminacy in data. Key statistical properties of NDUS-ED, including quantiles,
moments, moment-generating functions, and order statistics, are derived under
neutrosophic conditions. The performance of estimated parameters is evaluated
through simulation, revealing superior results with larger sample sizes,
particularly in managing imprecise and indeterminate data. Finally, the proposed
distribution is applied to an actual dataset, and the results are compared with those
of the Neutrosophic Exponential Distribution and the DUS Exponential
Distribution, demonstrating superior performance.

DOI: 10.5281/zenodo.14525314