A new lifetime model with decreasing failure rate

By W. Barreto‐Souza, Hassan Salah Hassan Bakouch. 2010

65 citations recorded by the source corpus.

In this paper, we introduce a new lifetime distribution by compounding exponential and Poisson–Lindley distributions, named the exponential Poisson–Lindley (EPL) distribution. A practical situation where the EPL distribution is most appropriate for modelling lifetime data than exponential–geometric, exponential–Poisson and exponential–logarithmic distributions is presented. We obtain the density and failure rate of the EPL distribution and properties such as mean lifetime, moments, order statistics and Rényi entropy. Furthermore, estimation by maximum likelihood and inference for large samples are discussed. The paper is motivated by two applications to real data sets and we hope that this model will be able to attract wider applicability in survival and reliability.

Subfields: Safety, Risk, Reliability and Quality, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/514f6816054a52cbf8cce902c3bbf975a90f7a3e

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In Safety, Risk, Reliability and Quality

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Citations in the corpus

Alpha-Power Transformed Lindley Distribution: Properties and Associated Inference with Application to Earthquake Data (2019, background): “Exponential Poisson Lindley (EPL) distribution due to Barreto-Souza and Bakouch (2013).”
The Harris Extended Exponential Distribution (2015, background): “Other proposals for this kind of mixture can be found in BarretoSouza and Bakouch (2013), Lu and Shi (2012), Ristić and Nadarajah (2011), and references therein.”