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Abstract
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We define two new lifetime models called the odd log-logistic Lindley
(OLL-L) and odd log-logistic Lindley Poisson (OLL-LP) distributions
with various hazard rate shapes such as increasing, decreasing, upsidedown
bathtub, and bathtub. Various structural properties are derived.
Certain characterizations of OLL-L distribution are presented. The maximum
likelihood estimators of the unknown parameters are obtained.
We propose a flexible cure rate survival model by assuming that the
number of competing causes of the event of interest has a Poisson distribution
and the time to event has an OLL-L distribution. The applicability
of the new models is illustrated by means real datasets
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