The random variable = –, which is called the residual life random variable, has gathered the attention of most researchers in reliability. The properties of mean residual life in continuous case have been studied by several authors. But in discrete case, only in recent years, some studies have been done. In this paper, we present the main results concerning the statistical properties of the discrete mean residual life ordering. such as, convolution, mixtures and convergence in distributions. Furthermore, two results concerning discrete renewal process in connection with the orders in the paper are obtained.
Ibrahim, M., & Ahmed, A. (2013). Preservation Properties for Some Discrete Mean Residual Life Ordering. The Egyptian Statistical Journal, 57(1), 64-78. doi: 10.21608/esju.2013.314346
MLA
M.A. Ibrahim; A.N. Ahmed. "Preservation Properties for Some Discrete Mean Residual Life Ordering", The Egyptian Statistical Journal, 57, 1, 2013, 64-78. doi: 10.21608/esju.2013.314346
HARVARD
Ibrahim, M., Ahmed, A. (2013). 'Preservation Properties for Some Discrete Mean Residual Life Ordering', The Egyptian Statistical Journal, 57(1), pp. 64-78. doi: 10.21608/esju.2013.314346
VANCOUVER
Ibrahim, M., Ahmed, A. Preservation Properties for Some Discrete Mean Residual Life Ordering. The Egyptian Statistical Journal, 2013; 57(1): 64-78. doi: 10.21608/esju.2013.314346
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