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Abstract
In this article, the Rani distribution has been modified to a more flexible variant. The new model is called "the XRani distribution" and it is also a one-parameter distribution just as the parent distribution-Rani. The properties of the XRani distribution were derived and an analysis of the behaviour was conducted. The parameter was estimated using the maximum likelihood procedure. Four lifetime data sets were used to illustrate the importance of the proposed model. From the results, the proposed model competes favorably among the members of the Lindley class of distributions.
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