What question did this study set out to answer?

This research aims to generalize the Lindley distribution using a quadratic rank transmutation map.

June 1, 2013

Transmuted Lindley Distribution

Puntos clave

This research aims to generalize the Lindley distribution using a quadratic rank transmutation map.
Developed a transmuted Lindley distribution based on the quadratic rank transmutation map.
Analyzed the mathematical properties and reliability behavior of the new distribution.
Illustrated the applicability of the distribution using real data.
The transmuted Lindley distribution exhibits unique mathematical properties useful for reliability modeling.
Demonstrated effective modeling of reliability data with the transmuted distribution.

Resumen

In this article, we generalize the Lindley distribution using the quadratic rank transmutation map studied by Shaw et al. 8 to develop a transmuted Lindley distribution. We provide a comprehensive description of the mathematical properties of the subject distribution along with its reliability behavior. The usefulness of the transmuted Lindley distribution for modeling reliability data is illustrated using real data.

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