Preservation Properties for Some Discrete Mean Residual Life Ordering | ||||
| The Egyptian Statistical Journal | ||||
| Article 5, Volume 57, Issue 2, December 2013, Page 64-78 | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/esju.2013.314435 | ||||
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| Abstract | ||||
| The random variable xt= x –t|x≤t, 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. | ||||
| Keywords | ||||
| Convolution; Mixtures - Residual Life Ordering | ||||
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