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A new lifetime distribution with increasing-decreasing failure rate function

Mostafa Tamandi, Azam Sadat Safavi, Abbas Mahdavi

Abstract



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.

Keywords


Lindley distribution, Reliability, Failure rate, Mean residual life, Maximum likelihood.

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