Published Paper Details:

In reliability theory, the concept of aging play an important role in engineering, maintenance, biometrics and many areas of science and technology. The aging concept describe how a component or system improves or deteriorates with age also helps to get an idea in the replacement models. Ever since the work of Barlow et al. (1963) and Bryson and Siddiqui (1969), various classes of life distributions have been introduced in reliability. Classes of life distributions are defined to classify the life distributions according to their ���aging properties. Many researchers dedicates their research towards the identification and investigation of some class of lifetime distributions having physical importance. In the past few decades, the classification of life distributions based on some aspects of aging have been studied by statisticians and reliability analysts. Also the attention have been made to derive their moment inequalities. Among these aspects various forms, we focus on the aging classes which have enormous applications in the areas of biomedical, engineering and statistical studies, namely, decreasing mean residual life (DMRL), increasing mean residual life (IMRL), increasing failure rate average (IFRA), new better than used in convex ordering (NBUC), new renewal better than used (NRBU) and its dual new renewal worse used (NRWU) and new better than used failure rate (NBUFR). We derived the moment inequalities of these classes.