
doi: 10.1017/jpr.2019.59
AbstractAn upper bound for the hazard rate function of a convolution of not necessarily independent random lifetimes is provided, which generalizes a recent result established for independent random lifetimes. Similar results are considered for the reversed hazard rate function. Applications to parametric and semiparametric models are also given.
Applications of statistics to actuarial sciences and financial mathematics, Reliability and life testing, reliability, hazard rate function, dependent random lifetime, Inequalities; stochastic orderings, convolution, reversed hazard rate function
Applications of statistics to actuarial sciences and financial mathematics, Reliability and life testing, reliability, hazard rate function, dependent random lifetime, Inequalities; stochastic orderings, convolution, reversed hazard rate function
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