Neutrosophic Extension of Maxwell Length-Biased Distribution and Its Application in Energy Sector

The length-biased distribution has important applications in modeling economic, reliability and energy data, especially when sampling the data preferentially toward the larger values. In this paper, we introduce the neutrosophic extension of the Maxwell length-biased distribution so that it can take into account the uncertainty, indeterminacy, and imprecision involved in data analysis. Basic statistical properties of the new distribution are presented including those of its shape properties, moments, reliability function, hazard and reversed hazard functions, etc. Estimation procedure, including maximum likelihood, method (MLE) is presented in the context of neutrosophic statistics. To emphasize the practicality of the proposed solution, an application to the energy domain shows that it can deal with uncertainty and delivering more robust results than classical counterparts.