A note on failure rate of the mixture of an exponential distribution and distribution with increasing quadratic failure rate function

We show that a unimodal failure rate function can be obtained as a mixture of two increasing failure rate functions. Specifically, we study the failure rate of the mixture of an exponential distribution and an IFR (increasing failure rate) distribution with increasing quadratic failure rate function. At the end of the paper we show a numerical example of the modified unimodal failure rate function.

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Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).