Neutrosophic Rama Distribution with an Application

Maya Singh; Gyan Prakash Singh; Isha Singh

Authors

Maya Singh Department of Statistics, Banaras Hindu University, Varanasi-221005, Uttar Pradesh, India
Gyan Prakash Singh Department of Statistics, Banaras Hindu University, Varanasi-221005, Uttar Pradesh, India
Isha Singh Department of Statistics, Banaras Hindu University, Varanasi-221005, Uttar Pradesh, India

Keywords:

Neutrosophic Rama distribution; Maximum likelihood estimator; Neutrosophic moments; Statistical properties of distribution; Simulation study.

Abstract

This paper introduces the Neutrosophic Rama Distribution (NRD) and explores its
statistical properties, including neutrosophic moments, moment functions, and parameter
estimation. The Rama distribution, a type of lifetime distribution, is useful for modeling lifetime
data under varying hazard conditions, making it valuable in fields such as medical science,
mechanical engineering, and industrial applications. In this study, we present the Neutrosophic
Rama Distribution along with its key statistical characteristics. Parameter estimation is conducted
using the maximum likelihood method, and the properties of the estimator are examined through
a simulation study in a neutrosophic environment. Furthermore, the practical applicability of the
NRD is demonstrated using a real-life dataset and compared with other neutrosophic models. The
comparative analysis indicates that the Neutrosophic Rama Distribution outperforms the selected
existing neutrosophic models.

DOI: 10.5281/zenodo.15558341