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A new lifetime distribution with increasing-decreasing failure rate function

Mostafa Tamandi, Azam Sadat Safavi, Abbas Mahdavi


In this paper, we introduce a new probability model with increasing-decreasing failure rate function. The new distribution, that is extended from Lindley distribution based on Marshall-Olkin method, is useful in reliability and lifetime researches. Some properties of this new
model are examined. Moment and Maximum likelihood estimation are discussed. Quan-tiles of this distribution are obtained with using Lambert function. Application of the new model to reliability data is proposed.

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