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Shock models with NBUFR and NBAFR survivals.

A. M. Abouammoh;  M. I. Hindi;  A. N. Ahmed — 1988

Trabajos de Estadística

The life distribution H(t) of a device subject to shocks governed by a Poisson process and pure birth process is considered as a function of probabilities P of not surviving the first k shocks. It is shown that some properties of a discrete distribution {P'} are reflected on properties of the continuous life distribution H(t). In particular, if P has the discrete NBUFR properties, then H(t) has the continuous NBUFR and NBAFR properties. The NBUFR and NBAFR life distributions are obtained under suitable...

New results on the NBUFR and NBUE classes of life distributions

E. M. Shokry;  A. N. Ahmed;  E. A. Rakha;  H. M. Hewedi — 2009

Applicationes Mathematicae

Some properties of the "new better than used in failure rate" (NBUFR) and the "new better than used in expectation" (NBUE) classes of life distributions are given. These properties include moment inequalities and moment generating functions behaviors. In addition, nonparametric estimation and testing of the survival functions of these classes are discussed.

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