# Empirical likelihood ratio-based goodness-of-fit test for the Lindley distribution

### Abstract

The Lindley distribution may serve as a useful reliability model. In this article, we propose a goodness of fit test for the Lindley distribution based on the empirical likelihood (EL) ratio. The properties of the proposed test are stated and the critical values are obtained by Monte Carlo simulation. Power comparisons of the proposed test with some known competing tests are carried out via simulations. Finally, an illustrative example is presented and analyzed.### References

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*Statistics, Optimization & Information Computing*,

*12*(4), 869-881. https://doi.org/10.19139/soic-2310-5070-1481

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