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  • https://doi.org/10.22436/jmcs.042.03.02Copy DOI Icon

A new characterization and estimation framework for the Gamma-Lindley quantum distribution and applications in q-Schrödinger equation

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Abstract

In this paper, we introduce a newly proposed probability distribution, the Gamma Lindley \(q\)- distribution (\(q\)-GLD). We explore its structural properties and derive parameter estimation procedures. The proposed model is then applied in the context of quantum mechanics, where we demonstrate its suitability as a potential solution to the \(q\)-deformed Schrödinger equation. These findings reveal the distribution’s effectiveness in modeling complex physical systems within a \(q\)-deformed framework.

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