TY - BOOK AU - Mohammed Ahmed Ibrahim Mohammed Khair AU - Abdulhadi Nabih Ahmed Ebrahem , TI - Stochastic comparisons of random variables and life distributions arising from them / PY - 2014/// CY - Cairo : PB - Mohammed Ahmed Ibrahim Mohammed Khair , KW - Inactivity time KW - Mean residual life time KW - Reliability N1 - Thesis (Ph.D.) - Cairo University - Institute of Statistical Studies and Research - Department of Mathematical Statistics; Issued also as CD N2 - This thesis has introduced new stochastic orderings, established their preservation properties under commonly occurring reliability operations such as convolution, mixing, and demonstrates their usefulness in probability, statistics and reliability theory. It has also introduced and studied useful partial orderings, and established connections between them and the available orderings in the literature. Furthermore, discrete analogues of the continuous reliability notions are defined, and their preservation properties under the most commonly used reliability operations are established UR - http://172.23.153.220/th.pdf ER -